Edit Profile (opens in new tab) Molchanov, Stanislav Alekseevich Compute Distance To: Compute Author ID: molchanov.stanislav-alekseevich Published as: Molchanov, S. A.; Molchanov, Stanislav; Molchanov, S.; Molchanov, Stanislav A.; Molchanov, Stanislav Alekseevich; Molčanov, Stanislav Alekseevich; Molchanov, Stanislas A.; Molchanov, Stas more...less Homepage: http://math2.uncc.edu/~molchanov/ External Links: MGP · Wikidata · Math-Net.Ru · GND Documents Indexed: 279 Publications since 1965, including 5 Books 2 Contributions as Editor Biographic References: 4 Publications Co-Authors: 151 Co-Authors with 248 Joint Publications 3,558 Co-Co-Authors all top 5 Co-Authors 28 single-authored 37 Vaĭnberg, Boris Rufimovich 11 Bogachev, Leonid V. 10 Gordon, Alexander Ya. 10 Pastur, Leonid Andreevich 10 Whitmeyer, Joseph M. 9 Cranston, Michael Craig 9 Jakšić, Vojkan 9 Yarovaya, Elena B. 8 Carmona, René A. 7 Koralov, Leonid B. 7 Sokolov, Dmitriĭ Dmitrievich 6 Gärtner, Jürgen 6 Godin, Yuri A. 6 Ruzmaikin, Alexander A. 5 Ben Arous, Gérard 5 Bulinskaya, Ekaterina Vadimova 5 Kondrat’yev, Yuriĭ Grygorovych 4 Alhakim, Abbas M. 4 Derfel, Gregory 4 Feng, Yaqin 4 Grabchak, Michael 4 Grenkova, L. N. 4 Hryniv, Ostap 4 Kirsch, Werner 4 Stepanov, A. K. 4 Surgailis, Donatas 3 Braginskij, R. P. 3 Chernousova, Elena 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 3 Zhizhina, Elena Anatol’evna 2 Albeverio, Sergio A. 2 Anderson, Robert F. V. 2 Astrauskas, Arvydas 2 Bendikov, Alexander D. 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 Feraig, Nabil 2 Finkelshteĭn, Dmitriĭ Leonidovich 2 Grigor’ev, Pavel’ Gennadievich 2 Grigor’yan, Alexander Asaturovich 2 Grishin, Stanislav A. 2 Kalenskij, L. A. 2 König, Wolfgang Dieter 2 Kuz’menko, Yu. T. 2 Laptev, Ari 2 Levit, Boris Y. 2 Makarova, Yulia 2 Maslov, Viktor Pavlovich 2 Menshikov, Mikhail V. 2 Panov, Vladimir A. 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 1 Agbor, A. 1 Aizenman, Michael 1 Akanbay, N. 1 Alexander, Kenneth S. 1 Bakry, Dominique 1 Balashova, Daria 1 Belyaev, M. Yu. 1 Berestova, N. A. 1 Berezhkovskii, Alexander M. 1 Chen, Joe Po-Chou 1 Chen, Kingwood 1 Chen, Zhiwei 1 Douady, Raphaël 1 Dow, Alan S. 1 Egorov, Yuriĭ Vladimirovich 1 El, Gennady A. 1 Feraig Henain, Nabil ...and 51 more Co-Authors all top 5 Serials 12 Theory of Probability and its Applications 11 Soviet Mathematics. Doklady 11 Random Operators and Stochastic Equations 11 Markov Processes and Related Fields 10 Communications in Mathematical Physics 9 Applicable Analysis 8 Moscow University Mathematics Bulletin 8 Functional Analysis and its Applications 8 Journal of Functional 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 Russian Mathematical Surveys 4 Theoretical and Mathematical Physics 4 Russian Journal of Mathematical Physics 4 Mathematical Population Studies 4 Doklady Mathematics 4 Stochastics and Dynamics 4 Waves in Random and Complex Media 3 Matematicheskie Zametki 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 Methodology and Computing in Applied Probability 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 Finance and Stochastics 1 Mathematical Physics, Analysis and Geometry 1 Reviews in Mathematics and Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Stochastics 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 1 Pure and Applied Functional Analysis all top 5 Fields 186 Probability theory and stochastic processes (60-XX) 57 Partial differential equations (35-XX) 47 Statistical mechanics, structure of matter (82-XX) 37 Operator theory (47-XX) 35 Ordinary differential equations (34-XX) 21 Quantum theory (81-XX) 15 Fluid mechanics (76-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Statistics (62-XX) 9 Biology and other natural sciences (92-XX) 7 Numerical analysis (65-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 General and overarching topics; collections (00-XX) 5 Optics, electromagnetic theory (78-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 Integral equations (45-XX) 3 Geometry (51-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 2 Number theory (11-XX) 2 Functional analysis (46-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 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 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 Open 192 Publications have been cited 1,903 times in 1,280 Documents Cited by ▼ Year ▼ Localization at large disorder and at extreme energies: an elementary derivation. Zbl 0782.60044Aizenman, Michael; Molchanov, Stanislav 230 1993 Parabolic Anderson problem and intermittency. Zbl 0925.35074Carmona, René A.; Molchanov, S. A. 118 1994 A pure point spectrum of the stochastic one-dimensional Schrödinger operator. Zbl 0368.34015Gol’dshejd, I. Ya.; Molchanov, S. A.; Pastur, L. A. 110 1977 Parabolic problems for the Anderson model. I: Intermittency and related topics. Zbl 0711.60055Gärtner, J.; Molchanov, S. A. 77 1990 Diffusion processes and Riemannian geometry. Zbl 0315.53026Molchanov, S. A. 66 1975 Symmetric stable processes as traces of degenerate diffusion processes. Zbl 0281.60091Molchanov, S. A.; Ostrovskij, E. 36 1969 The local structure of the spectrum of the one-dimensional Schrödinger operator. Zbl 0449.60049Molchanov, S. A. 34 1981 Lectures on random media. Zbl 0814.60093Molchanov, S. 33 1994 Parabolic problems for the Anderson model. II: Second-order asymptotics and structure of high peaks. Zbl 0909.60040Gärtner, J.; Molchanov, S. A. 33 1998 Stratified structure of the Universe and Burgers’ equation – a probabilistic approach. Zbl 0810.60058Albeverio, Sergio; Molchanov, Stanislav A.; Surgailis, Donatas 32 1994 Continuous model for homopolymers. Zbl 1162.82031Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B. 32 2009 Scattering solutions in networks of thin fibers: small diameter asymptotics. Zbl 1210.35036Molchanov, S.; Vainberg, B. 30 2007 Geometric characterization of intermittency in the parabolic Anderson model. Zbl 1126.60091Gärtner, Jürgen; König, Wolfgang; Molchanov, Stanislav 29 2007 Simplicity of eigenvalues in the Anderson model. Zbl 1152.82010Klein, Abel; Molchanov, Stanislav 29 2006 Explicit parametrix and local limit theorems for some degenerate diffusion processes. Zbl 1211.60036Konakov, Valentin; Menozzi, Stéphane; Molchanov, Stanislav 26 2010 The structure of eigenfunctions of one-dimensional unordered structures. Zbl 0401.34023Molchanov, S. A. 25 1978 Limit theorems for sums of random exponentials. Zbl 1073.60017Ben Arous, Gérard; Bogachev, Leonid V.; Molchanov, Stanislav A. 24 2005 Ideas in the theory of random media. Zbl 0728.73011Molchanov, Stanislav A. 24 1991 Almost sure asymptotics for the continuous parabolic Anderson model. Zbl 0972.60056Gärtner, J.; König, W.; Molchanov, S. A. 23 2000 Kinematic dynamo problem in a linear velocity field. Zbl 0567.76108Zel’dovich, Ya. B.; Ruzmaikin, A. A.; Molchanov, S. A.; Sokoloff, D. D. 23 1984 Stationary parabolic Anderson model and intermittency. Zbl 0827.60051Carmona, R. A.; Molchanov, S. A. 22 1995 Symmetric stable processes as traces of degenerate diffusion processes. Zbl 0238.60060Molchanov, S. A.; Ostrovskij, E. 22 1969 Hyperbolic asymptotics in Burgers’ turbulence and extremal processes. Zbl 0818.60046Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A. 20 1995 Limiting eigenvalue distribution for band random matrices. Zbl 0794.15011Molchanov, S. A.; Pastur, L. A.; Khorunzhij, A. M. 19 1992 First KdV integrals and absolutely continuous spectrum for 1-D Schrödinger operator. Zbl 0980.35149Molchanov, S.; Novitskii, M.; Vainberg, B. 18 2001 Behavior of generalized eigenfunctions at infinity and the Schrödinger conjecture. Zbl 0879.34078Maslov, Victor P.; Molchanov, Stanislav A.; Gordon, Alexander Ya. 18 1993 Hierarchical random matrices and operators. Application to Anderson model. Zbl 0887.60090Molchanov, S. 17 1996 One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum. Zbl 0747.47023Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 16 1990 On the density of the states of band random matrices. Zbl 0762.60015Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. 16 1991 Scattering on the system of the sparse bumps. Multidimensional case. Zbl 1022.47510Molchanov, S.; Vainberg, B. 15 1999 Bargmann type estimates of the counting function for general Schrödinger operators. Zbl 1280.47029Molchanov, S.; Vainberg, B. 15 2012 Asymptotics for the almost sure Lyapunov exponent for the solution of the parabolic Anderson problem. Zbl 0972.60050Carmona, Rene; Koralov, Leonid; Molchanov, Stanislav 14 2001 Mathematische Aufgaben. (Математические задачи.) Zbl 0151.00103Dynkin, E. B.; Molchanov, S. A.; Rozental’, A. L.; Tolpygo, A. K. 14 1965 Branching processes with lattice spatial dynamics and a finite set of particle generation centers. Zbl 1270.60092Molchanov, S. A.; Yarovaya, E. B. 14 2012 On the basic states of one-dimensional disordered structures. Zbl 0517.60072Grenkova, L. N.; Molchanov, S. A.; Sudarev, Yu. N. 14 1983 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 Intermittency, diffusion and generation in a nonstationary random medium. Zbl 0642.60039Zel’dovich, Ya. B.; Molchanov, S. A.; Ruzmajkin, A. A.; Sokolov, D. D. 12 1988 Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps. Zbl 0783.35040Jakšić, V.; Molchanov, S.; Simon, B. 12 1992 On ground state of some non local Schrödinger operators. Zbl 1422.47009Kondratiev, Yuri; Molchanov, Stanislav; Pirogov, Sergey; Zhizhina, Elena 12 2017 Transition from the annealed to the quenched asymptotics for a random walk on random obstacles. Zbl 1099.82003Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro 12 2005 The theory of percolation and some applications. Zbl 0647.60103Men’shikov, M. V.; Molchanov, S. A.; Sidorenko, A. F. 11 1986 On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities. Zbl 1193.35022Molchanov, Stanislav; Vainberg, Boris 11 2010 On the level density of random band matrices. Zbl 0778.60008Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. 10 1991 Localization of surface spectra. Zbl 0952.60059Jakšić, Vojkan; Molchanov, Stanislav 10 1999 Structure of the spectrum of a lacunary-limit-periodic Schrödinger operator. Zbl 0599.34029Molchanov, S. A.; Chulaevskij, V. A. 10 1984 Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation. Zbl 1459.82272Molchanov, S. A.; Yarovaya, E. B. 10 2012 Quenched to annealed transition in the parabolic Anderson problem. Zbl 1136.60016Cranston, M.; Molchanov, S. 10 2007 On phase transitions and limit theorems for homopolymers. Zbl 1132.82022Cranston, M.; Molchanov, S. 10 2007 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. 9 1996 On Martin boundaries for invariant Markov processes on a solvable group. Zbl 0308.60044Molchanov, S. A. 9 1967 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 A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B. 9 2010 Structure of population inside propagating front. Zbl 1279.60115Koralov, L.; Molchanov, S. 9 2013 Percolation of level sets for two-dimensional random fields with lattice symmetry. Zbl 0839.60088Alexander, Kenneth S.; Molchanov, Stanislav A. 8 1994 On spectral asymptotics for domains with fractal boundaries. Zbl 0867.58068Molchanov, S.; Vainberg, B. 8 1997 One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 8 1992 Slowing down of the wave packets in quantum graphs. Zbl 1189.78036Molchanov, S.; Vainberg, B. 8 2005 On bounded continuous solutions of the archetypal equation with rescaling. Zbl 1371.60110Bogachev, Leonid V.; Derfel, Gregory; Molchanov, Stanislav A. 8 2015 Spectral analysis of non-local Schrödinger operators. Zbl 1377.47003Kondratiev, Yu.; Molchanov, S.; Vainberg, B. 8 2017 Limit laws for sums of products of exponentials of iid random variables. Zbl 1083.60013Cranston, Michael; Molchanov, Stanislav 8 2005 Lyapunov exponents and distributions of magnetic fields in dynamo models. Zbl 0812.60097Molchanov, Stanislav; Ruzmaikin, Alexander 7 1994 Spectrum of multidimensional Schrödinger operators with sparse potentials. Zbl 0960.35071Molchanov, S.; Vainberg, B. 7 2000 Long memory shot noises and limit theorems with application to Burgers’ equation. Zbl 0771.60019Giraitis, L.; Molchanov, S. A.; Surgailis, D. 7 1993 Invariant Markov chains on a free group with a finite number of generators. Zbl 0226.60082Levit, B. Ya.; Molchanov, S. A. 7 1971 On the propagation properties of surface waves. Zbl 0905.65107Jakšić, V.; Molchanov, S.; Pastur, L. 7 1998 Global limit theorems on the convergence of multidimensional random walks to stable processes. Zbl 1316.60034Agbor, A.; Molchanov, S.; Vainberg, B. 7 2015 On bounded solutions of the balanced generalized pantograph equation. Zbl 1149.34342Bogachev, Leonid; Derfel, Gregory; Molchanov, Stanislav; Ockendon, John 7 2008 Exact asymptotics in a mean field model with random potential. Zbl 0677.60105Fleischmann, Klaus; Molchanov, Stanislav Alekseevich 7 1990 Limit theorems for basic states of the Anderson model. Zbl 0791.60101Astrauskas, A.; Molchanov, S. A. 6 1992 Moment asymptotics and Lifshitz tails for the parabolic Anderson model. Zbl 0959.60051Gärtner, Jürgen; Molchanov, Stanislav A. 6 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. 6 2000 Topics in statistical oceanography. Zbl 0865.76076Molchanov, S. 6 1996 Slowdown of the wave packages in finite slabs of periodic media. Zbl 1063.35063Molchanov, S.; Vainberg, B. 6 2004 On the spectrum of the surface Maryland model. Zbl 0916.47027Jakšić, Vojkan; Molchanov, Stanislav 6 1998 Spectral dimension and Bohr’s formula for Schrödinger operators on unbounded fractal spaces. Zbl 1326.81084Chen, Joe P.; Molchanov, Stanislav; Teplyaev, Alexander 6 2015 Intermittency for branching walks with heavy tails. Zbl 1372.60124Getan, A.; Molchanov, S.; Vainberg, B. 6 2017 Slowing down and reflection of waves in truncated periodic media. Zbl 1099.34075Molchanov, S.; Vainberg, B. 6 2006 Stationary distributions in Kolmogorov-Petrovski-Piskunov-type models with an infinite number of particles. Zbl 1409.92204Molchanov, Stanislav; Whitmeyer, Joseph 5 2017 Eigenvalue estimates for magnetic Schrödinger operators in domains. Zbl 1186.35119Frank, Rupert L.; Laptev, Ari; Molchanov, Stanislav 5 2008 Soliton turbulence as a thermodynamic limit of stochastic soliton lattices. Zbl 0981.60101El, Gennady A.; Krylov, Alexander L.; Molchanov, Stanislav A.; Venakides, Stephanos 5 2001 Spectral theory of one-dimensional Schrödinger operators with strongly fluctuating potentials. Zbl 0741.34054Gordon, A. Ya.; Molchanov, S. A.; Zagany, B. 5 1991 On the surface spectrum in dimension two. Zbl 0939.60074Jakšić, Vojkan; Molchanov, Stanislav 5 1998 Large deviations for a symmetric branching random walk on a multidimensional lattice. Zbl 1300.60103Molchanov, S. A.; Yarovaya, E. B. 5 2013 The local structure of the spectrum of the one-dimensional random Schrödinger operator. Zbl 0509.60064Molchanov, S. A. 5 1982 The effect of disorder on the wave propagation in one-dimensional periodic optical systems. Zbl 1274.78068Godin, Yuri A.; Molchanov, Stanislav; Vainberg, Boris 5 2011 Global stability in a nonlocal reaction-diffusion equation. Zbl 1400.35027Finkelshtein, Dmitri; Kondratiev, Yuri; Molchanov, Stanislav; Tkachov, Pasha 5 2018 Spectral properties of random Schrödinger operators with unbounded potentials. Zbl 0788.60077Gordon, Alexander Y.; Jakšić, Vojkan; Molčanov, Stanislav Alekseevich; Simon, Barry 4 1993 Analysis of the archetypal functional equation in the non-critical case. Zbl 1335.45007Molchanov, Stanislav A.; Derfel, Gregory; Bogachev, Leonid V. 4 2015 On negative spectrum of Schrödinger type operators. Zbl 1182.35173Molchanov, S.; Vainberg, B. 4 2009 Localization for one dimensional long range random Hamiltonians. Zbl 0979.82038Jakšić, Vojkan; Molchanov, Stanislav 4 1999 Wave operators for the surface Maryland model. Zbl 0983.82007Jakšić, Vojkan; Molchanov, Stanislav 4 2000 Reaction-diffusion equations in the random media: Localization and intermittency. Zbl 0851.35143Molchanov, S. 4 1996 Random walks on Abelian groups with an infinite number of generators. Zbl 0411.60073Fereig, Nabil; Molchanov, S. A. 4 1978 Counterexamples to Liouville-type theorems. Zbl 0442.35038Kuz’menko, Yu. T.; Molchanov, S. A. 4 1979 Multiscattering on sparse bumps. Zbl 0934.35143Molchanov, S. 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 Mean magnetic field in renovating random flow. Zbl 0599.76137Dittrich, P.; Molchanov, S. A.; Sokoloff, D. D.; Ruzmaikin, A. A. 4 1984 Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum. Zbl 1061.47041Molchanov, S.; Vainberg, B. 4 2004 On the convergence of Markov chains to diffusion processes. Zbl 0579.60075Konakov, V. D.; Molchanov, S. A. 4 1984 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. 4 2012 Steady states of lattice population models with immigration. Zbl 1483.91150Chernousova, Elena; Feng, Yaqin; Hryniv, Ostap; Molchanov, Stanislav; Whitmeyer, Joseph 1 2021 Structure of the particle population for a branching random walk with a critical reproduction law. Zbl 1476.60151Balashova, Daria; Molchanov, Stanislav; Yarovaya, Elena 1 2021 Population model with immigration in continuous space. Zbl 1483.91151Chernousova, Elena; Hryniv, Ostap; Molchanov, Stanislav 1 2020 Population dynamics with moderate tails of the underlying random walk. Zbl 1419.60039Molchanov, Stanislav; Vainberg, Boris 2 2019 On the critical behavior of a homopolymer model. Zbl 1420.60124Cranston, Michael; Molchanov, Stanislav 2 2019 Steady state and intermittency in the critical branching random walk with arbitrary total number of offspring. Zbl 1487.60162Chernousova, Elena; Molchanov, Stanislav 1 2019 The alloy model: phase transitions and diagrams for a random energy model with mixtures. Zbl 1431.60023Grabchak, Michael; Molchanov, Stanislav A. 1 2019 Limit theorems for random exponentials: the bounded support case. Zbl 1442.60035Grabchak, M.; Molchanov, S. A. 1 2019 The Brownian motion on \(\operatorname{Aff}(\mathbb{R})\) and quasi-local theorems. Zbl 1447.60132Konakov, V.; Menozzi, S.; Molchanov, S. 1 2019 The density flatness phenomenon. Zbl 1459.60025Alhakim, Abbas; Molchanov, S. 1 2019 Probabilistic approach to a cell growth model. Zbl 1447.92117Derfel, Gregory; Feng, Yaqin; Molchanov, Stanislav 1 2019 Global stability in a nonlocal reaction-diffusion equation. Zbl 1400.35027Finkelshtein, Dmitri; Kondratiev, Yuri; Molchanov, Stanislav; Tkachov, Pasha 5 2018 A multi-class extension of the mean field Bolker-Pacala population model. Zbl 1397.92560Bessonov, Mariya; Molchanov, Stanislav; Whitmeyer, Joseph 3 2018 Resolvent bounds for jump generators. Zbl 07327314Kondratiev, Yuri; Molchanov, Stanislav; Piatnitski, Andrey; Zhizhina, Elena 1 2018 On ground state of some non local Schrödinger operators. Zbl 1422.47009Kondratiev, Yuri; Molchanov, Stanislav; Pirogov, Sergey; Zhizhina, Elena 12 2017 Spectral analysis of non-local Schrödinger operators. Zbl 1377.47003Kondratiev, Yu.; Molchanov, S.; Vainberg, B. 8 2017 Intermittency for branching walks with heavy tails. Zbl 1372.60124Getan, A.; Molchanov, S.; Vainberg, B. 6 2017 Stationary distributions in Kolmogorov-Petrovski-Piskunov-type models with an infinite number of particles. Zbl 1409.92204Molchanov, Stanislav; Whitmeyer, Joseph 5 2017 Spatial models of population processes. Zbl 1407.91196Molchanov, Stanislav; Whitmeyer, Joseph 2 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 A relation between the positive and negative spectra of elliptic operators. Zbl 06793828Killip, Rowan; Molchanov, Stanislav; Safronov, Oleg 1 2017 On bounded continuous solutions of the archetypal equation with rescaling. Zbl 1371.60110Bogachev, Leonid V.; Derfel, Gregory; Molchanov, Stanislav A. 8 2015 Global limit theorems on the convergence of multidimensional random walks to stable processes. Zbl 1316.60034Agbor, A.; Molchanov, S.; Vainberg, B. 7 2015 Spectral dimension and Bohr’s formula for Schrödinger operators on unbounded fractal spaces. Zbl 1326.81084Chen, Joe P.; Molchanov, Stanislav; Teplyaev, Alexander 6 2015 Analysis of the archetypal functional equation in the non-critical case. Zbl 1335.45007Molchanov, Stanislav A.; Derfel, Gregory; Bogachev, Leonid V. 4 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. 3 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. 4 2014 Point potential for the generator of a stable process. Zbl 1291.60098Cranston, M.; Molchanov, S.; Squartini, N. 1 2014 On mathematical foundation of the Brownian motor theory. Zbl 1297.35248Koralov, L.; Molchanov, S.; Vainberg, B. 1 2014 Structure of population inside propagating front. Zbl 1279.60115Koralov, L.; Molchanov, S. 9 2013 Large deviations for a symmetric branching random walk on a multidimensional lattice. Zbl 1300.60103Molchanov, S. A.; Yarovaya, E. B. 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 Bargmann type estimates of the counting function for general Schrödinger operators. Zbl 1280.47029Molchanov, S.; Vainberg, B. 15 2012 Branching processes with lattice spatial dynamics and a finite set of particle generation centers. Zbl 1270.60092Molchanov, S. A.; Yarovaya, E. B. 14 2012 Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation. Zbl 1459.82272Molchanov, S. A.; Yarovaya, E. B. 10 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. 4 2012 The parabolic Anderson model with long range basic Hamiltonian and Weibull type random potential. Zbl 1246.82087Molchanov, Stanislav; Zhang, Hao 3 2012 Random walks with heavy tails and limit theorems for branching processes with migration and immigration. Zbl 1248.60098Feng, Yaqin; Molchanov, Stanislav; Whitmeyer, Joseph 3 2012 On the negative spectrum of the hierarchical Schrödinger operator. Zbl 1253.35088Molchanov, S.; Vainberg, B. 2 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 2 2012 On a concentration inequality for sums of independent isotropic vectors. Zbl 1260.60028Cranston, Michael Craig; Molchanov, Stanislav Alekseevich 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 5 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. 2 2011 Explicit parametrix and local limit theorems for some degenerate diffusion processes. Zbl 1211.60036Konakov, Valentin; Menozzi, Stéphane; Molchanov, Stanislav 26 2010 On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities. Zbl 1193.35022Molchanov, Stanislav; Vainberg, Boris 11 2010 A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B. 9 2010 Wave propagation in periodic networks of thin fibers. Zbl 1406.35382Molchanov, S.; Vainberg, B. 3 2010 Two Markov models of the spread of rumors. Zbl 1194.91166Molchanov, Stanislav; Whitmeyer, Joseph M. 3 2010 On measuring nonlinear risk with scarce observations. Zbl 1226.91066Cherny, Alexander; Douady, Raphael; Molchanov, Stanislav 3 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. 32 2009 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 7 2008 Eigenvalue estimates for magnetic Schrödinger operators in domains. Zbl 1186.35119Frank, Rupert L.; Laptev, Ari; Molchanov, Stanislav 5 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. 30 2007 Geometric characterization of intermittency in the parabolic Anderson model. Zbl 1126.60091Gärtner, Jürgen; König, Wolfgang; Molchanov, Stanislav 29 2007 Quenched to annealed transition in the parabolic Anderson problem. Zbl 1136.60016Cranston, M.; Molchanov, S. 10 2007 On phase transitions and limit theorems for homopolymers. Zbl 1132.82022Cranston, M.; Molchanov, S. 10 2007 Wave propagation in a one-dimensional randomly perturbed periodic medium. Zbl 1191.81111Godin, Y. A.; Molchanov, S.; Vainberg, B. 4 2007 Transition asymptotics for reaction-diffusion in random media. Zbl 1132.82006Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro F. 2 2007 Quasicumulants and limit theorems in case of the Cauchy limiting law. Zbl 1142.60014Molchanov, S. A.; Petrov, V. V.; Squartini, N. 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 29 2006 Slowing down and reflection of waves in truncated periodic media. Zbl 1099.34075Molchanov, S.; Vainberg, B. 6 2006 Transition from a network of thin fibers to the quantum graphs: an explicitly solvable model. Zbl 1317.35046Molchanov, Stanislav; Vainberg, Boris 4 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. 24 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 12 2005 Slowing down of the wave packets in quantum graphs. Zbl 1189.78036Molchanov, S.; Vainberg, B. 8 2005 Limit laws for sums of products of exponentials of iid random variables. Zbl 1083.60013Cranston, Michael; Molchanov, Stanislav 8 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. 6 2004 Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum. Zbl 1061.47041Molchanov, S.; Vainberg, B. 4 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 Asymptotics for the boundary parabolic Anderson problem in a half space. Zbl 1093.35015Carmona, Rene; Grishin, Stanislav A.; Molchanov, Stanislav 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. 18 2001 Asymptotics for the almost sure Lyapunov exponent for the solution of the parabolic Anderson problem. Zbl 0972.60050Carmona, Rene; Koralov, Leonid; Molchanov, Stanislav 14 2001 Soliton turbulence as a thermodynamic limit of stochastic soliton lattices. Zbl 0981.60101El, Gennady A.; Krylov, Alexander L.; Molchanov, Stanislav A.; Venakides, Stephanos 5 2001 Almost sure asymptotics for the continuous parabolic Anderson model. Zbl 0972.60056Gärtner, J.; König, W.; Molchanov, S. A. 23 2000 Spectrum of multidimensional Schrödinger operators with sparse potentials. Zbl 0960.35071Molchanov, S.; Vainberg, B. 7 2000 Moment asymptotics and Lifshitz tails for the parabolic Anderson model. Zbl 0959.60051Gärtner, Jürgen; Molchanov, Stanislav A. 6 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. 6 2000 Wave operators for the surface Maryland model. Zbl 0983.82007Jakšić, Vojkan; Molchanov, Stanislav 4 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 A note on the regularity of solutions of linear homological equations. Zbl 1021.39010Jakšić, Vojkan; Molchanov, Stanislav 1 2000 Scattering on the system of the sparse bumps. Multidimensional case. Zbl 1022.47510Molchanov, S.; Vainberg, B. 15 1999 Localization of surface spectra. Zbl 0952.60059Jakšić, Vojkan; Molchanov, Stanislav 10 1999 Localization for one dimensional long range random Hamiltonians. Zbl 0979.82038Jakšić, Vojkan; Molchanov, Stanislav 4 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 Parabolic problems for the Anderson model. II: Second-order asymptotics and structure of high peaks. Zbl 0909.60040Gärtner, J.; Molchanov, S. A. 33 1998 On the propagation properties of surface waves. Zbl 0905.65107Jakšić, V.; Molchanov, S.; Pastur, L. 7 1998 On the spectrum of the surface Maryland model. Zbl 0916.47027Jakšić, Vojkan; Molchanov, Stanislav 6 1998 ...and 92 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,361 Authors 75 Molchanov, Stanislav Alekseevich 24 Vaĭnberg, Boris Rufimovich 21 Simon, Barry 20 Stolz, Gunter 19 Klein, Abel 19 Yarovaya, Elena B. 18 Nazarov, Sergeĭ Aleksandrovich 16 Khoshnevisan, Davar 16 Leonenko, Nikolai N. 14 Chulaevsky, Victor 14 Warzel, Simone 12 Cranston, Michael Craig 12 Elgart, Alexander 12 König, Wolfgang Dieter 12 Schenker, Jeffrey H. 11 Chen, Le 11 Damanik, David 10 Aizenman, Michael 10 Chen, Xia 10 den Hollander, Frank 10 Last, Yoram 10 Maslov, Viktor Pavlovich 10 Pastur, Leonid Andreevich 9 Bendikov, Alexander D. 9 Germinet, François 9 Kirsch, Werner 9 Klopp, Frédéric 9 Kondrat’yev, Yuriĭ Grygorovych 9 Sadel, Christian 9 Shcherbina, Tatyana 8 Astrauskas, Arvydas 8 Godin, Yuri A. 8 Jakšić, Vojkan 8 Kim, Kunwoo 8 Koralov, Leonid B. 8 Menozzi, Stéphane 8 Schulz-Baldes, Hermann 8 Solomyak, Mikhaĭl Zakharovich 8 Surgailis, Donatas 7 Conus, Daniel 7 Dolai, Dhriti Ranjan 7 Erdős, László 7 Fukushima, Ryoki 7 Gordon, Alexander Ya. 7 Hislop, Peter D. 7 Joye, Alain 7 Mallick, Anish 7 Nualart, David 7 Sznitman, Alain-Sol 7 Teplyaev, Alexander 7 Tindel, Samy 7 Viens, Frederi G. 7 Woyczynski, Wojbor A. 7 Yor, Marc 6 Albeverio, Sergio A. 6 Corwin, Ivan Z. 6 Denisov, Sergey A. 6 Fröhlich, Jürg Martin 6 Gärtner, Jürgen 6 Grigor’yan, Alexander Asaturovich 6 Hu, Yaozhong 6 Jitomirskaya, Svetlana Yakovlevna 6 Konakov, Valentin 6 Krishna, Maddaly 6 Mountford, Thomas S. 6 Sidorova, Nadia 6 Sims, Robert L. 6 Sodin, Sasha 6 Veselić, Ivan 5 Biskup, Marek 5 Bulinskaya, Ekaterina Vladimirovna 5 Carmona, René A. 5 Dalang, Robert C. 5 Fleischmann, Klaus 5 Foondun, Mohammud 5 Grabchak, Michael 5 Grahovac, Danijel 5 Hamza, Eman 5 Joseph, Mathew 5 Kostenko, Aleksey S. 5 Léandre, Rémi 5 León, José Rafael R. 5 Mastropietro, Vieri 5 Mörters, Peter 5 Naboko, Serguei N. 5 Nakano, Fumihiko 5 Ruiz-Medina, María Dolores 5 Shcherbina, Mariya 5 Spencer, Thomas C. 5 Tautenhahn, Martin 5 Truman, Aubrey 5 Wang, Wei-Min 5 Zeitouni, Ofer 4 Anh, Vo V. 4 Antil, Harbir 4 Ben Arous, Gérard 4 Birman, Mikhail Shlëmovich 4 Bogachev, Leonid V. 4 Bourgain, Jean 4 Comets, Francis M. ...and 1,261 more Authors all top 5 Cited in 252 Serials 97 Communications in Mathematical Physics 83 Journal of Statistical Physics 55 Journal of Mathematical Physics 54 Journal of Functional Analysis 49 Stochastic Processes and their Applications 48 Probability Theory and Related Fields 46 The Annals of Probability 28 Annales Henri Poincaré 22 Journal of Mathematical Analysis and Applications 20 Annales de l’Institut Henri Poincaré. 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Quatrième Série 2 Applied Mathematics and Optimization 2 Journal of Approximation Theory 2 Journal für die Reine und Angewandte Mathematik ...and 152 more Serials all top 5 Cited in 58 Fields 672 Probability theory and stochastic processes (60-XX) 396 Statistical mechanics, structure of matter (82-XX) 361 Partial differential equations (35-XX) 237 Operator theory (47-XX) 205 Quantum theory (81-XX) 78 Ordinary differential equations (34-XX) 61 Linear and multilinear algebra; matrix theory (15-XX) 58 Dynamical systems and ergodic theory (37-XX) 53 Global analysis, analysis on manifolds (58-XX) 50 Fluid mechanics (76-XX) 33 Numerical analysis (65-XX) 31 Difference and functional equations (39-XX) 31 Statistics (62-XX) 29 Combinatorics (05-XX) 24 Functional analysis (46-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Measure and integration (28-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 19 Biology and other natural sciences (92-XX) 18 Potential theory (31-XX) 18 Mechanics of deformable solids (74-XX) 17 Systems theory; control (93-XX) 16 Differential geometry (53-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Number theory (11-XX) 12 Integral equations (45-XX) 11 Real functions (26-XX) 11 Optics, electromagnetic theory (78-XX) 10 Abstract harmonic analysis (43-XX) 8 Special functions (33-XX) 6 History and biography (01-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Computer science (68-XX) 6 Mechanics of particles and systems (70-XX) 5 \(K\)-theory (19-XX) 5 Group theory and generalizations (20-XX) 5 Operations research, mathematical programming (90-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 Integral transforms, operational calculus (44-XX) 4 Convex and discrete geometry (52-XX) 4 Manifolds and cell complexes (57-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Astronomy and astrophysics (85-XX) 3 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 General topology (54-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) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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