Edit Profile Molchanov, Stanislav Alekseevich Compute Distance To: Compute Author ID: molchanov.stanislav-alekseevich Published as: Molchanov, S.; Molchanov, S. A.; Molchanov, Stanislas A.; Molchanov, Stanislav; Molchanov, Stanislav A.; Molchanov, Stanislav Alekseevich; Molchanov, Stas; Molčanov, Stanislav Alekseevich Homepage: http://math2.uncc.edu/~molchanov/ External Links: MGP · Math-Net.Ru · Wikidata · GND Documents Indexed: 269 Publications since 1965, including 7 Books Biographic References: 3 Publications all top 5 Co-Authors 28 single-authored 35 Vaĭnberg, Boris Rufimovich 11 Bogachev, Leonid V. 10 Gordon, Alexander Ya. 10 Pastur, Leonid Andreevich 9 Cranston, Michael Craig 9 Jakšić, Vojkan 9 Whitmeyer, Joseph M. 8 Carmona, René A. 7 Sokolov, Dmitriĭ Dmitrievich 7 Yarovaya, Elena B. 6 Gärtner, Jürgen 6 Godin, Yuri A. 6 Ruzmaikin, Alexander A. 5 Ben Arous, Gérard 5 Bulinskaya, Ekaterina Vadimova 5 Derfel, Gregory 5 Koralov, Leonid B. 4 Alhakim, Abbas M. 4 Grabchak, Michael 4 Grenkova, L. N. 4 Kirsch, Werner 4 Kondrat’yev, Yuriĭ Grygorovych 4 Stepanov, A. K. 4 Surgailis, Donatas 3 Braginskij, R. P. 3 Dynkin, Evgeniĭ Borisovich 3 Gnedenko, Boris Vladimirovich 3 Gol’dshejd, I. Ya. 3 Han, Dan 3 Holshouser, Arthur L. 3 Konakov, V. D. 3 Menozzi, Stéphane 3 Novitskiĭ, Mikhail Vasil’evich 3 Quinn, Joseph Edward 3 Ramírez, Alejandro F. 3 Reiter, Harold Braun 3 Rozental, A. L. 3 Safronov, Oleg 3 Simon, Barry 3 Tutubalin, Valeriĭ Nikolaevich 3 Woyczynski, Wojbor A. 3 Zel’dovich, Yakov Borisovich 2 Albeverio, Sergio A. 2 Anderson, Robert F. V. 2 Astrauskas, Arvydas 2 Berlyand, Leonid V. 2 Bessonov, Mariya 2 Boldrighini, Carlo 2 Bulinskiĭ, Aleksandr Vadimovich 2 Bulycheva, O. G. 2 Chulaevskij, V. A. 2 den Hollander, Frank 2 Derfel, G. A. 2 Feng, Yaqin 2 Feraig, Nabil 2 Figotin, Alexander 2 Finkelshteĭn, Dmitriĭ Leonidovich 2 Grigor’ev, Pavel’ Gennadievich 2 Grishin, Stanislav A. 2 Holt, J. B. 2 Holt, Jim 2 Hryniv, Ostap 2 Kalenskij, L. A. 2 Konakov, Valentin 2 König, Wolfgang Dieter 2 Kuz’menko, Yu. T. 2 Laptev, Ari 2 Levit, B. Ya. 2 Makarova, Yulia 2 Maslov, Viktor Pavlovich 2 Menshikov, Mikhail V. 2 Ostrovskii, E. I. 2 Piterbarg, Leonid I. 2 Reznikova, A. Ya. 2 Ruzmajkin, A. A. 2 Sidorenko, A. F. 2 Sidorowicz, Józef 2 Squartini, N. 2 Stavrakas, Nick M. 2 Sudarev, Yu. N. 2 Tolpygo, Alexeĭ K. 2 Wentzell, Alexander Dmitrievich 2 Zheng, Lukun 2 Zhizhina, Elena Anatol’evna 1 Agbor, A. 1 Ahn, Ho Seong 1 Aizenman, Michael 1 Alexander, Kenneth S. 1 Bakry, Dominique 1 Belyaev, M. Yu. 1 Bendikov, Alexander D. 1 Berestova, N. A. 1 Berezhkovskii, Alexander M. 1 Chen, Joe Po-Chou 1 Chen, Kingwood 1 Chen, Zhiwei 1 Cherny, Alexander S. 1 Dittrich, Peter 1 Douady, Raphaël 1 Dow, Alan S. ...and 57 more Co-Authors all top 5 Serials 12 Theory of Probability and its Applications 11 Soviet Mathematics. Doklady 11 Markov Processes and Related Fields 10 Communications in Mathematical Physics 10 Random Operators and Stochastic Equations 8 Moscow University Mathematics Bulletin 8 Functional Analysis and its Applications 8 Journal of Functional Analysis 7 Applicable Analysis 7 Probability Theory and Related Fields 7 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 6 Mathematical Notes 5 Teoriya Veroyatnosteĭ i eë Primeneniya 4 Journal of Statistical Physics 4 Theoretical and Mathematical Physics 4 Russian Journal of Mathematical Physics 4 Doklady Mathematics 4 Stochastics and Dynamics 4 Waves in Random and Complex Media 3 Matematicheskie Zametki 3 Russian Mathematical Surveys 3 Funktsional’nyĭ Analiz i ego Prilozheniya 3 Journal of Spectral Theory 2 Letters in Mathematical Physics 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 The Annals of Probability 2 Demonstratio Mathematica 2 The Journal of Mathematical Sociology 2 Journal of Soviet Mathematics 2 Acta Applicandae Mathematicae 2 Theory of Probability and Mathematical Statistics 2 Journal of Mathematical Sciences (New York) 2 Izvestiya: Mathematics 2 Forum Geometricorum 1 Astronomische Nachrichten 1 Geophysical and Astrophysical Fluid Dynamics 1 Helvetica Physica Acta 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Magnetohydrodynamics 1 Pi Mu Epsilon Journal 1 Soviet Scientific Reviews. Section C 1 Waves in Random Media 1 Reviews in Mathematical Physics 1 Mathematische Nachrichten 1 Mathematics of the USSR. Izvestiya 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Selecta Mathematica Sovietica 1 Statistics & Probability Letters 1 Physica D 1 Asymptotic Analysis 1 The Annals of Applied Probability 1 Communications in Partial Differential Equations 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Trudy Seminara Imeni I. G. Petrovskogo 1 Mathematical Methods of Statistics 1 Itogi Nauki i Tekhniki. Seriya Teoriya Veroyatnosteĭ. Matematicheskaya Statistika. Teoreticheskaya Kibernetika 1 Monte Carlo Methods and Applications 1 Electronic Communications in Probability 1 Discrete and Continuous Dynamical Systems 1 Mathematical Population Studies 1 Finance and Stochastics 1 Mathematical Physics, Analysis and Geometry 1 Reviews in Mathematics and Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Journal of Mathematical Physics, Analysis, Geometry 1 The IMA Volumes in Mathematics and its Applications 1 Lecture Notes in Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Science China. Mathematics 1 Bulletin of Mathematical Sciences 1 Proceedings A. Royal Society of London all top 5 Fields 178 Probability theory and stochastic processes (60-XX) 55 Partial differential equations (35-XX) 45 Statistical mechanics, structure of matter (82-XX) 36 Operator theory (47-XX) 33 Ordinary differential equations (34-XX) 21 Quantum theory (81-XX) 15 Fluid mechanics (76-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Statistics (62-XX) 7 Numerical analysis (65-XX) 7 Biology and other natural sciences (92-XX) 5 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Optics, electromagnetic theory (78-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Geophysics (86-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Geometry (51-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 176 Publications have been cited 1,640 times in 1,109 Documents Cited by ▼ Year ▼ Localization at large disorder and at extreme energies: an elementary derivation. Zbl 0782.60044Aizenman, Michael; Molchanov, Stanislav 205 1993 A pure point spectrum of the stochastic one-dimensional Schrödinger operator. Zbl 0368.34015Gol’dshejd, I. Ya.; Molchanov, S. A.; Pastur, L. A. 109 1977 Parabolic Anderson problem and intermittency. Zbl 0925.35074Carmona, René A.; Molchanov, S. A. 105 1994 Parabolic problems for the Anderson model. I: Intermittency and related topics. Zbl 0711.60055Gärtner, J.; Molchanov, S. A. 62 1990 Diffusion processes and Riemannian geometry. Zbl 0315.53026Molchanov, S. A. 60 1975 Lectures on random media. Zbl 0814.60093Molchanov, S. 31 1994 The local structure of the spectrum of the one-dimensional Schrödinger operator. Zbl 0449.60049Molchanov, S. A. 31 1981 Stratified structure of the Universe and Burgers’ equation – a probabilistic approach. Zbl 0810.60058Albeverio, Sergio; Molchanov, Stanislav A.; Surgailis, Donatas 30 1994 Symmetric stable processes as traces of degenerate diffusion processes. Zbl 0281.60091Molchanov, S. A.; Ostrovskij, E. 30 1969 Parabolic problems for the Anderson model. II: Second-order asymptotics and structure of high peaks. Zbl 0909.60040Gärtner, J.; Molchanov, S. A. 27 1998 Continuous model for homopolymers. Zbl 1162.82031Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B. 24 2009 The structure of eigenfunctions of one-dimensional unordered structures. Zbl 0401.34023Molchanov, S. A. 24 1978 Scattering solutions in networks of thin fibers: small diameter asymptotics. Zbl 1210.35036Molchanov, S.; Vainberg, B. 23 2007 Geometric characterization of intermittency in the parabolic Anderson model. Zbl 1126.60091Gärtner, Jürgen; König, Wolfgang; Molchanov, Stanislav 23 2007 Simplicity of eigenvalues in the Anderson model. Zbl 1152.82010Klein, Abel; Molchanov, Stanislav 23 2006 Limit theorems for sums of random exponentials. Zbl 1073.60017Ben Arous, Gérard; Bogachev, Leonid V.; Molchanov, Stanislav A. 23 2005 Ideas in the theory of random media. Zbl 0728.73011Molchanov, Stanislav A. 23 1991 Almost sure asymptotics for the continuous parabolic Anderson model. Zbl 0972.60056Gärtner, J.; König, W.; Molchanov, S. A. 22 2000 Kinematic dynamo problem in a linear velocity field. Zbl 0567.76108Zel’dovich, Ya. B.; Ruzmaikin, A. A.; Molchanov, S. A.; Sokoloff, D. D. 22 1984 Hyperbolic asymptotics in Burgers’ turbulence and extremal processes. Zbl 0818.60046Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A. 20 1995 Explicit parametrix and local limit theorems for some degenerate diffusion processes. Zbl 1211.60036Konakov, Valentin; Menozzi, Stéphane; Molchanov, Stanislav 19 2010 Behavior of generalized eigenfunctions at infinity and the Schrödinger conjecture. Zbl 0879.34078Maslov, Victor P.; Molchanov, Stanislav A.; Gordon, Alexander Ya. 18 1993 Limiting eigenvalue distribution for band random matrices. Zbl 0794.15011Molchanov, S. A.; Pastur, L. A.; Khorunzhij, A. M. 18 1992 First KdV integrals and absolutely continuous spectrum for 1-D Schrödinger operator. Zbl 0980.35149Molchanov, S.; Novitskii, M.; Vainberg, B. 17 2001 Stationary parabolic Anderson model and intermittency. Zbl 0827.60051Carmona, R. A.; Molchanov, S. A. 17 1995 Asymptotics for the almost sure Lyapunov exponent for the solution of the parabolic Anderson problem. Zbl 0972.60050Carmona, Rene; Koralov, Leonid; Molchanov, Stanislav 16 2001 One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum. Zbl 0747.47023Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 16 1990 Symmetric stable processes as traces of degenerate diffusion processes. Zbl 0238.60060Molchanov, S. A.; Ostrovskij, E. 16 1969 Hierarchical random matrices and operators. Application to Anderson model. Zbl 0887.60090Molchanov, S. 15 1996 Mathematische Aufgaben. Zbl 0151.00103Dynkin, E. B.; Molchanov, S. A.; Rozental’, A. L.; Tolpygo, A. K. 14 1965 Scattering on the system of the sparse bumps. Multidimensional case. Zbl 1022.47510Molchanov, S.; Vainberg, B. 13 1999 The large-scale structure of the universe and quasi-Voronoi tessellation of shock fronts in forced Burgers turbulence in \(\mathbb{R}^d\). Zbl 0895.60066Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A. 13 1997 Branching processes with lattice spatial dynamics and a finite set of particle generation centers. Zbl 1270.60092Molchanov, S. A.; Yarovaya, E. B. 12 2012 Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps. Zbl 0783.35040Jakšić, V.; Molchanov, S.; Simon, B. 12 1992 On the density of the states of band random matrices. Zbl 0762.60015Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. 12 1991 On the basic states of one-dimensional disordered structures. Zbl 0517.60072Grenkova, L. N.; Molchanov, S. A.; Sudarev, Yu. N. 12 1983 Transition from the annealed to the quenched asymptotics for a random walk on random obstacles. Zbl 1099.82003Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro 10 2005 Localization of surface spectra. Zbl 0952.60059Jakšić, Vojkan; Molchanov, Stanislav 10 1999 Sharp upper bound on the almost-sure exponential behavior of a stochastic parabolic partial differential equation. Zbl 0849.60062Carmona, René; Viens, Frederi. G.; Molchanov, S. A. 10 1996 The theory of percolation and some applications. Zbl 0647.60103Men’shikov, M. V.; Molchanov, S. A.; Sidorenko, A. F. 10 1986 On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities. Zbl 1193.35022Molchanov, Stanislav; Vainberg, Boris 9 2010 On phase transitions and limit theorems for homopolymers. Zbl 1132.82022Cranston, M.; Molchanov, S. 9 2007 Quenched to annealed transition in the parabolic Anderson problem. Zbl 1136.60016Cranston, M.; Molchanov, S. 9 2007 One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 9 1992 Intermittency, diffusion and generation in a nonstationary random medium. Zbl 0642.60039Zel’dovich, Ya. B.; Molchanov, S. A.; Ruzmajkin, A. A.; Sokolov, D. D. 9 1988 On conditions for applicability of the central limit theorem to random walks on a lattice. Zbl 0603.60020Kozlov, S. M.; Molchanov, S. A. 9 1984 Structure of the spectrum of a lacunary-limit-periodic Schrödinger operator. Zbl 0599.34029Molchanov, S. A.; Chulaevskij, V. A. 9 1984 Limit laws for sums of products of exponentials of iid random variables. Zbl 1083.60013Cranston, Michael; Molchanov, Stanislav 8 2005 Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation. Zbl 06149509Molchanov, S. A.; Yarovaya, E. B. 7 2012 Bargmann type estimates of the counting function for general Schrödinger operators. Zbl 1280.47029Molchanov, S.; Vainberg, B. 7 2012 Slowing down of the wave packets in quantum graphs. Zbl 1189.78036Molchanov, S.; Vainberg, B. 7 2005 Lyapunov exponents and distributions of magnetic fields in dynamo models. Zbl 0812.60097Molchanov, Stanislav; Ruzmaikin, Alexander 7 1994 Long memory shot noises and limit theorems with application to Burgers’ equation. Zbl 0771.60019Giraitis, L.; Molchanov, S. A.; Surgailis, D. 7 1993 On the level density of random band matrices. Zbl 0778.60008Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. 7 1991 Invariant Markov chains on a free group with a finite number of generators. Zbl 0226.60082Levit, B. Ya.; Molchanov, S. A. 7 1971 On Martin boundaries for invariant Markov processes on a solvable group. Zbl 0308.60044Molchanov, S. A. 7 1967 On bounded continuous solutions of the archetypal equation with rescaling. Zbl 1371.60110Bogachev, Leonid V.; Derfel, Gregory; Molchanov, Stanislav A. 6 2015 A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B. 6 2010 Spectrum of multidimensional Schrödinger operators with sparse potentials. Zbl 0960.35071Molchanov, S.; Vainberg, B. 6 2000 Moment asymptotics and Lifshitz tails for the parabolic Anderson model. Zbl 0959.60051Gärtner, Jürgen; Molchanov, Stanislav A. 6 2000 On the spectrum of the surface Maryland model. Zbl 0916.47027Jakšić, Vojkan; Molchanov, Stanislav 6 1998 On the propagation properties of surface waves. Zbl 0905.65107Jakšić, V.; Molchanov, S.; Pastur, L. 6 1998 On spectral asymptotics for domains with fractal boundaries. Zbl 0867.58068Molchanov, S.; Vainberg, B. 6 1997 Percolation of level sets for two-dimensional random fields with lattice symmetry. Zbl 0839.60088Alexander, Kenneth S.; Molchanov, Stanislav A. 6 1994 Limit theorems for basic states of the Anderson model. Zbl 0791.60101Astrauskas, A.; Molchanov, S. A. 6 1992 Spectral theory of one-dimensional Schrödinger operators with strongly fluctuating potentials. Zbl 0741.34054Gordon, A. Ya.; Molchanov, S. A.; Zagany, B. 6 1991 Spectral dimension and Bohr’s formula for Schrödinger operators on unbounded fractal spaces. Zbl 1326.81084Chen, Joe P.; Molchanov, Stanislav; Teplyaev, Alexander 5 2015 Global limit theorems on the convergence of multidimensional random walks to stable processes. Zbl 1316.60034Agbor, A.; Molchanov, S.; Vainberg, B. 5 2015 Structure of population inside propagating front. Zbl 1279.60115Koralov, L.; Molchanov, S. 5 2013 Eigenvalue estimates for magnetic Schrödinger operators in domains. Zbl 1186.35119Frank, Rupert L.; Laptev, Ari; Molchanov, Stanislav 5 2008 Transition from a network of thin fibers to the quantum graphs: an explicitly solvable model. Zbl 1317.35046Molchanov, Stanislav; Vainberg, Boris 5 2006 Slowing down and reflection of waves in truncated periodic media. Zbl 1099.34075Molchanov, S.; Vainberg, B. 5 2006 Topics in statistical oceanography. Zbl 0865.76076Molchanov, S. 5 1996 Exact asymptotics in a mean field model with random potential. Zbl 0677.60105Fleischmann, Klaus; Molchanov, Stanislav Alekseevich 5 1990 The local structure of the spectrum of the one-dimensional random Schrödinger operator. Zbl 0509.60064Molchanov, S. A. 5 1982 On ground state of some non local Schrödinger operators. Zbl 1422.47009Kondratiev, Yuri; Molchanov, Stanislav; Pirogov, Sergey; Zhizhina, Elena 4 2017 The effect of disorder on the wave propagation in one-dimensional periodic optical systems. Zbl 1274.78068Godin, Yuri A.; Molchanov, Stanislav; Vainberg, Boris 4 2011 On negative spectrum of Schrödinger type operators. Zbl 1182.35173Molchanov, S.; Vainberg, B. 4 2009 On bounded solutions of the balanced generalized pantograph equation. Zbl 1149.34342Bogachev, Leonid; Derfel, Gregory; Molchanov, Stanislav; Ockendon, John 4 2008 Soliton turbulence as a thermodynamic limit of stochastic soliton lattices. Zbl 0981.60101El, Gennady A.; Krylov, Alexander L.; Molchanov, Stanislav A.; Venakides, Stephanos 4 2001 Wave operators for the surface Maryland model. Zbl 0983.82007Jakšić, Vojkan; Molchanov, Stanislav 4 2000 Annealed moment Lyapunov exponents for a branching random walk in a homogeneous random branching environment. Zbl 0979.60079Albeverio, S.; Bogachev, L. V.; Molchanov, S. A.; Yarovaya, E. B. 4 2000 On the surface spectrum in dimension two. Zbl 0939.60074Jakšić, Vojkan; Molchanov, Stanislav 4 1998 Massively parallel simulations of motions in a Gaussian velocity field. Zbl 0864.76063Carmona, René A.; Grishin, Stanislav A.; Molchanov, Stanislav A. 4 1996 Percolation theory and some applications. Zbl 0711.60102Men’shikov, M. V.; Molchanov, S. A.; Sidorenko, A. F. 4 1988 Mean magnetic field in renovating random flow. Zbl 0599.76137Dittrich, P.; Molchanov, S. A.; Sokoloff, D. D.; Ruzmaikin, A. A. 4 1984 On the convergence of Markov chains to diffusion processes. Zbl 0579.60075Konakov, V. D.; Molchanov, S. A. 4 1984 Spectral properties of the general Sturm-Liouville equation with random coefficients. I. Zbl 0534.60058Molchanov, S. A.; Seidel, H. 4 1982 Counterexamples to Liouville-type theorems. Zbl 0442.35038Kuz’menko, Yu. T.; Molchanov, S. A. 4 1979 Random walks on Abelian groups with an infinite number of generators. Zbl 0411.60073Fereig, Nabil; Molchanov, S. A. 4 1978 On Martin boundaries for the direct product of Markov chains. Zbl 0292.60119Molchanov, S. A. 4 1967 Intermittency for branching walks with heavy tails. Zbl 1372.60124Getan, A.; Molchanov, S.; Vainberg, B. 3 2017 Spectral analysis of non-local Schrödinger operators. Zbl 1377.47003Kondratiev, Yu.; Molchanov, S.; Vainberg, B. 3 2017 Analysis of the archetypal functional equation in the non-critical case. Zbl 1335.45007Molchanov, Stanislav A.; Derfel, Gregory; Bogachev, Leonid V. 3 2015 A mean field approximation of the Bolker-Pacala population model. Zbl 1317.60111Bessonov, M.; Molchanov, S.; Whitmeyer, J. 3 2014 The parabolic Anderson model with long range basic Hamiltonian and Weibull type random potential. Zbl 1246.82087Molchanov, Stanislav; Zhang, Hao 3 2012 Two Markov models of the spread of rumors. Zbl 1194.91166Molchanov, Stanislav; Whitmeyer, Joseph M. 3 2010 Wave propagation in periodic networks of thin fibers. Zbl 1406.35382Molchanov, S.; Vainberg, B. 3 2010 Wave propagation in a one-dimensional randomly perturbed periodic medium. Zbl 1191.81111Godin, Y. A.; Molchanov, S.; Vainberg, B. 3 2007 Slowdown of the wave packages in finite slabs of periodic media. Zbl 1063.35063Molchanov, S.; Vainberg, B. 3 2004 Global stability in a nonlocal reaction-diffusion equation. Zbl 1400.35027Finkelshtein, Dmitri; Kondratiev, Yuri; Molchanov, Stanislav; Tkachov, Pasha 1 2018 On ground state of some non local Schrödinger operators. Zbl 1422.47009Kondratiev, Yuri; Molchanov, Stanislav; Pirogov, Sergey; Zhizhina, Elena 4 2017 Intermittency for branching walks with heavy tails. Zbl 1372.60124Getan, A.; Molchanov, S.; Vainberg, B. 3 2017 Spectral analysis of non-local Schrödinger operators. Zbl 1377.47003Kondratiev, Yu.; Molchanov, S.; Vainberg, B. 3 2017 Cluster expansion of the resolvent for the Schrödinger operator on non-percolating graphs with applications to Simon-Spencer type theorems and localization. Zbl 1377.31004Molchanov, Stanislav; Zheng, Lukun 2 2017 On bounded continuous solutions of the archetypal equation with rescaling. Zbl 1371.60110Bogachev, Leonid V.; Derfel, Gregory; Molchanov, Stanislav A. 6 2015 Spectral dimension and Bohr’s formula for Schrödinger operators on unbounded fractal spaces. Zbl 1326.81084Chen, Joe P.; Molchanov, Stanislav; Teplyaev, Alexander 5 2015 Global limit theorems on the convergence of multidimensional random walks to stable processes. Zbl 1316.60034Agbor, A.; Molchanov, S.; Vainberg, B. 5 2015 Analysis of the archetypal functional equation in the non-critical case. Zbl 1335.45007Molchanov, Stanislav A.; Derfel, Gregory; Bogachev, Leonid V. 3 2015 On a class of random perturbations of the hierarchical Laplacian. Zbl 1448.47050Bendikov, Alexander D.; Grigor’yan, Alexander A.; Molchanov, Stanislav A.; Samorodnitsky, Gennady P. 2 2015 Limit theorems and phase transitions for two models of summation of independent identically distributed random variables with a parameter. Zbl 1322.60011Grabchak, M.; Molchanov, S. A. 2 2015 Examples of random Schrödinger-type operators with non-Poissonian spectra. Zbl 1336.60129Molchanov, S.; Pastur, L.; Ray, E. 1 2015 A mean field approximation of the Bolker-Pacala population model. Zbl 1317.60111Bessonov, M.; Molchanov, S.; Whitmeyer, J. 3 2014 On mathematical foundation of the Brownian motor theory. Zbl 1297.35248Koralov, L.; Molchanov, S.; Vainberg, B. 1 2014 Point potential for the generator of a stable process. Zbl 1291.60098Cranston, M.; Molchanov, S.; Squartini, N. 1 2014 Structure of population inside propagating front. Zbl 1279.60115Koralov, L.; Molchanov, S. 5 2013 Limit theorems and phase transitions for two models of summation of iid random variables depending on parameters. Zbl 1287.60033Grabchak, M.; Molchanov, S. A. 2 2013 Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential. Zbl 1311.81112Godin, Y. A.; Molchanov, S.; Vainberg, B. 1 2013 Large deviations for a symmetric branching random walk on a multidimensional lattice. Zbl 1300.60103Molchanov, S. A.; Yarovaya, E. B. 1 2013 Branching processes with lattice spatial dynamics and a finite set of particle generation centers. Zbl 1270.60092Molchanov, S. A.; Yarovaya, E. B. 12 2012 Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation. Zbl 06149509Molchanov, S. A.; Yarovaya, E. B. 7 2012 Bargmann type estimates of the counting function for general Schrödinger operators. Zbl 1280.47029Molchanov, S.; Vainberg, B. 7 2012 The parabolic Anderson model with long range basic Hamiltonian and Weibull type random potential. Zbl 1246.82087Molchanov, Stanislav; Zhang, Hao 3 2012 Limit theorems for the Green function of the lattice Laplacian under large deviations of the random walk. Zbl 1274.60082Molchanov, S. A.; Yarovaya, E. B. 2 2012 Random walks with heavy tails and limit theorems for branching processes with migration and immigration. Zbl 1248.60098Feng, Yaqin; Molchanov, Stanislav; Whitmeyer, Joseph 2 2012 On the negative spectrum of the hierarchical Schrödinger operator. Zbl 1253.35088Molchanov, S.; Vainberg, B. 1 2012 On a concentration inequality for sums of independent isotropic vectors. Zbl 1260.60028Cranston, Michael Craig; Molchanov, Stanislav Alekseevich 1 2012 Random media at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1581 (1994), 1837 (2004) and 1974 (20009). Zbl 1260.60008den Hollander, Frank; Molchanov, Stanislav A.; Zeitouni, Ofer 1 2012 The effect of disorder on the wave propagation in one-dimensional periodic optical systems. Zbl 1274.78068Godin, Yuri A.; Molchanov, Stanislav; Vainberg, Boris 4 2011 Non-random perturbations of the Anderson Hamiltonian. Zbl 1219.35059Molchanov, Stanislav; Vainberg, Boris 2 2011 Diffusion processes on solvable groups of upper triangular \(2\times 2\) matrices and their approximation. Zbl 1276.60090Konakov, V. D.; Menozzi, S.; Molchanov, S. A. 1 2011 Explicit parametrix and local limit theorems for some degenerate diffusion processes. Zbl 1211.60036Konakov, Valentin; Menozzi, Stéphane; Molchanov, Stanislav 19 2010 On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities. Zbl 1193.35022Molchanov, Stanislav; Vainberg, Boris 9 2010 A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B. 6 2010 Two Markov models of the spread of rumors. Zbl 1194.91166Molchanov, Stanislav; Whitmeyer, Joseph M. 3 2010 Wave propagation in periodic networks of thin fibers. Zbl 1406.35382Molchanov, S.; Vainberg, B. 3 2010 On measuring nonlinear risk with scarce observations. Zbl 1226.91066Cherny, Alexander; Douady, Raphael; Molchanov, Stanislav 2 2010 Propagation of waves in networks of thin fibers. Zbl 1425.74236Molchanov, S.; Vainberg, B. 2 2010 Continuous model for homopolymers. Zbl 1162.82031Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B. 24 2009 On negative spectrum of Schrödinger type operators. Zbl 1182.35173Molchanov, S.; Vainberg, B. 4 2009 Eigenvalue estimates for magnetic Schrödinger operators in domains. Zbl 1186.35119Frank, Rupert L.; Laptev, Ari; Molchanov, Stanislav 5 2008 On bounded solutions of the balanced generalized pantograph equation. Zbl 1149.34342Bogachev, Leonid; Derfel, Gregory; Molchanov, Stanislav; Ockendon, John 4 2008 Laplace operator in networks of thin fibers: spectrum near the threshold. Zbl 1173.35088Molchanov, S.; Vainberg, B. 2 2008 Scattering solutions in networks of thin fibers: small diameter asymptotics. Zbl 1210.35036Molchanov, S.; Vainberg, B. 23 2007 Geometric characterization of intermittency in the parabolic Anderson model. Zbl 1126.60091Gärtner, Jürgen; König, Wolfgang; Molchanov, Stanislav 23 2007 On phase transitions and limit theorems for homopolymers. Zbl 1132.82022Cranston, M.; Molchanov, S. 9 2007 Quenched to annealed transition in the parabolic Anderson problem. Zbl 1136.60016Cranston, M.; Molchanov, S. 9 2007 Wave propagation in a one-dimensional randomly perturbed periodic medium. Zbl 1191.81111Godin, Y. A.; Molchanov, S.; Vainberg, B. 3 2007 Quasicumulants and limit theorems in case of the Cauchy limiting law. Zbl 1142.60014Molchanov, S. A.; Petrov, V. V.; Squartini, N. 2 2007 Transition asymptotics for reaction-diffusion in random media. Zbl 1132.82006Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro F. 2 2007 Spectral theory of 1-D Schrödinger operators with unbounded potentials. Zbl 1146.34024Gordon, A.; Holt, J.; Molchanov, S. 1 2007 Simplicity of eigenvalues in the Anderson model. Zbl 1152.82010Klein, Abel; Molchanov, Stanislav 23 2006 Transition from a network of thin fibers to the quantum graphs: an explicitly solvable model. Zbl 1317.35046Molchanov, Stanislav; Vainberg, Boris 5 2006 Slowing down and reflection of waves in truncated periodic media. Zbl 1099.34075Molchanov, S.; Vainberg, B. 5 2006 Localization on Avron-Exner-Last graphs. I: Local perturbations. Zbl 1104.81038Chen, Kingwood; Molchanov, Stanislav; Vainberg, Boris 1 2006 Diffusion in an annihilating environment. Zbl 1093.60055Gärtner, J.; den Hollander, F.; Molchanov, S. A. 1 2006 Limit theorems for sums of random exponentials. Zbl 1073.60017Ben Arous, Gérard; Bogachev, Leonid V.; Molchanov, Stanislav A. 23 2005 Transition from the annealed to the quenched asymptotics for a random walk on random obstacles. Zbl 1099.82003Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro 10 2005 Limit laws for sums of products of exponentials of iid random variables. Zbl 1083.60013Cranston, Michael; Molchanov, Stanislav 8 2005 Slowing down of the wave packets in quantum graphs. Zbl 1189.78036Molchanov, S.; Vainberg, B. 7 2005 On the Bohr formula for the one-dimensional Schrödinger operator with increasing potential. Zbl 1082.34074Holt, J.; Molchanov, S. 1 2005 Slowdown of the wave packages in finite slabs of periodic media. Zbl 1063.35063Molchanov, S.; Vainberg, B. 3 2004 Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum. Zbl 1061.47041Molchanov, S.; Vainberg, B. 3 2004 Asymptotics for the boundary parabolic Anderson problem in a half space. Zbl 1093.35015Carmona, Rene; Grishin, Stanislav A.; Molchanov, Stanislav 1 2004 Random matrices over \(\mathbb Z_p\) and testing of random number generators (RNG’s). Zbl 1091.15029Derfel, G.; Gordon, A. Y.; Molchanov, S. 1 2004 Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B. 2 2003 Phase transition for the spherical hierarchical model. Zbl 1029.60076Ben Arous, G.; Hryniv, O.; Molchanov, S. 1 2002 First KdV integrals and absolutely continuous spectrum for 1-D Schrödinger operator. Zbl 0980.35149Molchanov, S.; Novitskii, M.; Vainberg, B. 17 2001 Asymptotics for the almost sure Lyapunov exponent for the solution of the parabolic Anderson problem. Zbl 0972.60050Carmona, Rene; Koralov, Leonid; Molchanov, Stanislav 16 2001 Soliton turbulence as a thermodynamic limit of stochastic soliton lattices. Zbl 0981.60101El, Gennady A.; Krylov, Alexander L.; Molchanov, Stanislav A.; Venakides, Stephanos 4 2001 Almost sure asymptotics for the continuous parabolic Anderson model. Zbl 0972.60056Gärtner, J.; König, W.; Molchanov, S. A. 22 2000 Spectrum of multidimensional Schrödinger operators with sparse potentials. Zbl 0960.35071Molchanov, S.; Vainberg, B. 6 2000 Moment asymptotics and Lifshitz tails for the parabolic Anderson model. Zbl 0959.60051Gärtner, Jürgen; Molchanov, Stanislav A. 6 2000 Wave operators for the surface Maryland model. Zbl 0983.82007Jakšić, Vojkan; Molchanov, Stanislav 4 2000 Annealed moment Lyapunov exponents for a branching random walk in a homogeneous random branching environment. Zbl 0979.60079Albeverio, S.; Bogachev, L. V.; Molchanov, S. A.; Yarovaya, E. B. 4 2000 A note on the regularity of solutions of linear homological equations. Zbl 1021.39010Jakšić, Vojkan; Molchanov, Stanislav 1 2000 Correlation effects in the trapping problem: General approach and rigorous results. Zbl 0977.60076Bogachev, L. V.; Molchanov, S. A.; Makhnovskii, Yu. A.; Berezhkovskii, A. M. 1 2000 Scattering on the system of the sparse bumps. Multidimensional case. Zbl 1022.47510Molchanov, S.; Vainberg, B. 13 1999 Localization of surface spectra. Zbl 0952.60059Jakšić, Vojkan; Molchanov, Stanislav 10 1999 Multiscale averaging for ordinary differential equations. Applications to the spectral theory of one-dimensional Schrödinger operators with sparse potentials. Zbl 1049.34105Molchanov, S. A. 2 1999 Localization for one dimensional long range random Hamiltonians. Zbl 0979.82038Jakšić, Vojkan; Molchanov, Stanislav 2 1999 Parabolic problems for the Anderson model. II: Second-order asymptotics and structure of high peaks. Zbl 0909.60040Gärtner, J.; Molchanov, S. A. 27 1998 On the spectrum of the surface Maryland model. Zbl 0916.47027Jakšić, Vojkan; Molchanov, Stanislav 6 1998 On the propagation properties of surface waves. Zbl 0905.65107Jakšić, V.; Molchanov, S.; Pastur, L. 6 1998 On the surface spectrum in dimension two. Zbl 0939.60074Jakšić, Vojkan; Molchanov, Stanislav 4 1998 On spectral asymptotics for domains with fractal boundaries of cabbage type. Zbl 0913.35099Molchanov, S.; Vainberg, B. 3 1998 Multiscattering on sparse bumps. Zbl 0934.35143Molchanov, S. 2 1998 The large-scale structure of the universe and quasi-Voronoi tessellation of shock fronts in forced Burgers turbulence in \(\mathbb{R}^d\). Zbl 0895.60066Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A. 13 1997 On spectral asymptotics for domains with fractal boundaries. Zbl 0867.58068Molchanov, S.; Vainberg, B. 6 1997 Hierarchical random matrices and operators. Application to Anderson model. Zbl 0887.60090Molchanov, S. 15 1996 Sharp upper bound on the almost-sure exponential behavior of a stochastic parabolic partial differential equation. Zbl 0849.60062Carmona, René; Viens, Frederi. G.; Molchanov, S. A. 10 1996 Topics in statistical oceanography. Zbl 0865.76076Molchanov, S. 5 1996 Massively parallel simulations of motions in a Gaussian velocity field. Zbl 0864.76063Carmona, René A.; Grishin, Stanislav A.; Molchanov, Stanislav A. 4 1996 Reaction-diffusion equations in the random media: Localization and intermittency. Zbl 0851.35143Molchanov, S. 3 1996 Hyperbolic asymptotics in Burgers’ turbulence and extremal processes. Zbl 0818.60046Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A. 20 1995 Stationary parabolic Anderson model and intermittency. Zbl 0827.60051Carmona, R. A.; Molchanov, S. A. 17 1995 Parabolic Anderson problem and intermittency. Zbl 0925.35074Carmona, René A.; Molchanov, S. A. 105 1994 Lectures on random media. Zbl 0814.60093Molchanov, S. 31 1994 Stratified structure of the Universe and Burgers’ equation – a probabilistic approach. Zbl 0810.60058Albeverio, Sergio; Molchanov, Stanislav A.; Surgailis, Donatas 30 1994 Lyapunov exponents and distributions of magnetic fields in dynamo models. Zbl 0812.60097Molchanov, Stanislav; Ruzmaikin, Alexander 7 1994 ...and 76 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,207 Authors 66 Molchanov, Stanislav Alekseevich 21 Simon, Barry 21 Stolz, Gunter 19 Klein, Abel 19 Vaĭnberg, Boris Rufimovich 15 Leonenko, Nikolai N. 14 Chulaevsky, Victor 14 Warzel, Simone 13 Khoshnevisan, Davar 12 Cranston, Michael Craig 12 Elgart, Alexander 12 Nazarov, Sergeĭ Aleksandrovich 12 Yarovaya, Elena B. 11 Chen, Xia 11 Damanik, David 10 Aizenman, Michael 10 König, Wolfgang Dieter 10 Last, Yoram 10 Maslov, Viktor Pavlovich 10 Pastur, Leonid Andreevich 10 Schenker, Jeffrey H. 9 Germinet, François 9 Kirsch, Werner 8 Astrauskas, Arvydas 8 Bendikov, Alexander D. 8 Chen, Le 8 Sadel, Christian 8 Schulz-Baldes, Hermann 8 Solomyak, Mikhaĭl Zakharovich 8 Surgailis, Donatas 7 Conus, Daniel 7 den Hollander, Frank 7 Erdős, László 7 Gordon, Alexander Ya. 7 Jakšić, Vojkan 7 Joye, Alain 7 Klopp, Frédéric 7 Menozzi, Stéphane 7 Shcherbina, Tatyana 7 Sznitman, Alain-Sol 7 Viens, Frederi G. 7 Woyczynski, Wojbor A. 7 Yor, Marc 6 Albeverio, Sergio A. 6 Denisov, Sergey A. 6 Fröhlich, Jürg Martin 6 Fukushima, Ryoki 6 Gärtner, Jürgen 6 Godin, Yuri A. 6 Jitomirskaya, Svetlana Ya. 6 Konakov, Valentin 6 Mallick, Anish 6 Mountford, Thomas S. 6 Sidorova, Nadia 6 Sims, Robert L. 6 Teplyaev, Alexander 6 Tindel, Samy 6 Veselić, Ivan 5 Ben Arous, Gérard 5 Bogachev, Leonid V. 5 Carmona, René A. 5 Corwin, Ivan 5 Dalang, Robert C. 5 Fleischmann, Klaus 5 Foondun, Mohammud 5 Grabchak, Michael 5 Grigor’yan, Alexander Asaturovich 5 Hamza, Eman 5 Hislop, Peter D. 5 Joseph, Mathew 5 Kim, Kunwoo 5 Kondrat’yev, Yuriĭ Grygorovych 5 Koralov, Leonid B. 5 Léandre, Rémi 5 León, José Rafael R. 5 Mörters, Peter 5 Naboko, Serguei N. 5 Nakano, Fumihiko 5 Ruiz-Medina, María Dolores 5 Spencer, Thomas C. 5 Tautenhahn, Martin 5 Truman, Aubrey 5 Wang, Wei-Min 5 Zeitouni, Ofer 4 Anh, Vo V. 4 Birman, Mikhail Shlëmovich 4 Biskup, Marek 4 Bourgain, Jean 4 Bulinskaya, Ekaterina Vladimirovna 4 Comets, Francis M. 4 del Río Castillo, Rafael René 4 Dolai, Dhriti Ranjan 4 Erhard, Dirk 4 Fillman, Jake 4 Garofalo, Nicola 4 Gorodetski, Anton 4 Grahovac, Danijel 4 Hu, Yaozhong 4 Kostenko, Aleksey S. 4 Kotani, Shinichi ...and 1,107 more Authors all top 5 Cited in 226 Serials 91 Communications in Mathematical Physics 76 Journal of Statistical Physics 51 Journal of Mathematical Physics 50 Journal of Functional Analysis 50 Stochastic Processes and their Applications 45 Probability Theory and Related Fields 43 The Annals of Probability 25 Annales Henri Poincaré 18 Annales de l’Institut Henri Poincaré. 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Académie des Sciences, Paris 7 Waves in Random and Complex Media 6 Journal of Fluid Mechanics 6 Theory of Probability and its Applications 6 Advances in Mathematics 6 Statistics & Probability Letters 6 Stochastic Analysis and Applications 6 Acta Applicandae Mathematicae 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Russian Journal of Mathematical Physics 6 Random Operators and Stochastic Equations 6 Electronic Journal of Probability 6 Bernoulli 6 Journal of the European Mathematical Society (JEMS) 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 Acta Mathematica 5 Mathematische Nachrichten 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Physics of Fluids 5 Stochastics and Dynamics 5 Journal of Statistical Mechanics: Theory and Experiment 4 Archive for Rational Mechanics and Analysis 4 Communications on Pure and Applied Mathematics 4 Lithuanian Mathematical Journal 4 Reports on Mathematical Physics 4 Annales de l’Institut Fourier 4 Illinois Journal of Mathematics 4 Inventiones Mathematicae 4 Journal of Applied Probability 4 Ergodic Theory and Dynamical Systems 4 Physica D 4 SIAM Journal on Mathematical Analysis 4 St. Petersburg Mathematical Journal 4 Doklady Mathematics 3 Geophysical and Astrophysical Fluid Dynamics 3 Israel Journal of Mathematics 3 Journal of Computational Physics 3 Physics Reports 3 Russian Mathematical Surveys 3 Theoretical and Mathematical Physics 3 Wave Motion 3 Arkiv för Matematik 3 Applied Mathematics and Computation 3 Bulletin de la Société Mathématique de France 3 Journal of the American Mathematical Society 3 Science in China. Series A 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Dynamics and Differential Equations 3 Discrete and Continuous Dynamical Systems 3 Transformation Groups 3 Annals of Mathematics. Second Series 3 Methodology and Computing in Applied Probability 3 Journal of Physics A: Mathematical and Theoretical 2 International Journal of Modern Physics B 2 International Journal of Control 2 Physica A 2 Stochastics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Approximation Theory 2 Journal für die Reine und Angewandte Mathematik 2 Journal of Statistical Planning and Inference 2 Kodai Mathematical Journal 2 Osaka Journal of Mathematics 2 Applied Mathematics and Mechanics. (English Edition) 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Constructive Approximation 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. 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Mathematics 2 Monte Carlo Methods and Applications 2 Sbornik: Mathematics ...and 126 more Serials all top 5 Cited in 57 Fields 582 Probability theory and stochastic processes (60-XX) 359 Statistical mechanics, structure of matter (82-XX) 286 Partial differential equations (35-XX) 214 Operator theory (47-XX) 173 Quantum theory (81-XX) 71 Ordinary differential equations (34-XX) 53 Dynamical systems and ergodic theory (37-XX) 51 Linear and multilinear algebra; matrix theory (15-XX) 47 Global analysis, analysis on manifolds (58-XX) 46 Fluid mechanics (76-XX) 30 Statistics (62-XX) 28 Difference and functional equations (39-XX) 24 Combinatorics (05-XX) 23 Numerical analysis (65-XX) 21 Measure and integration (28-XX) 21 Functional analysis (46-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 15 Differential geometry (53-XX) 14 Potential theory (31-XX) 13 Biology and other natural sciences (92-XX) 13 Systems theory; control (93-XX) 12 Mechanics of deformable solids (74-XX) 10 Optics, electromagnetic theory (78-XX) 9 Integral equations (45-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Number theory (11-XX) 7 Real functions (26-XX) 7 Abstract harmonic analysis (43-XX) 6 History and biography (01-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Special functions (33-XX) 5 \(K\)-theory (19-XX) 5 Group theory and generalizations (20-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of particles and systems (70-XX) 4 Algebraic geometry (14-XX) 4 Topological groups, Lie groups (22-XX) 4 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 4 Manifolds and cell complexes (57-XX) 4 Computer science (68-XX) 4 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 General topology (54-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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