Edit Profile Montroll, Elliott W. Compute Distance To: Compute Author ID: montroll.elliott-w Published as: Montroll, Elliott W.; Montroll, E. W.; Montroll, Elliott; Montroll, E. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 39 Publications since 1946 5 Contributions as Editor 1 Further Contribution Biographic References: 1 Publication all top 5 Co-Authors 16 single-authored 8 Shlesinger, Michael F. 6 Lebowitz, Joel Louis 3 Hughes, Barry D. 3 Ward, John C. 3 Weiss, George-Herbert 2 Bendler, John T. 2 Hart, Robert W. 2 Newell, Gordon Frank 2 Potts, Renfrey B. 2 West, Bruce J. 1 Berlin, T. H. 1 Bobylev, Alexandre Vasiljévitch 1 Bricmont, Jean 1 Cercignani, Carlo 1 Domb, Cyrill 1 Ernst, Matthieu H. 1 Greenberg, Jerome Mayo 1 Greenberg, William 1 Herman, Robert C. 1 Hioe, F. T. 1 Isihara, Akira 1 Kiefer, James E. 1 Lanford, Oscar E. III 1 Lindeberg, K. 1 Maradudin, Alexei A. 1 Mazur, Peter 1 Pfister, Charles-Edouard 1 Polewczak, Jacek 1 Rothery, Richard W. 1 Spohn, Herbert 1 Stell, George 1 van Kampen, Nico G. 1 Zubarev, Dmitriĭ Nikolaevich 1 Zweifel, Paul F. all top 5 Serials 5 Proceedings of the National Academy of Sciences of the United States of America 3 Journal of Mathematical Physics 3 Journal of Statistical Physics 3 Journal of Applied Physics 2 Communications on Pure and Applied Mathematics 1 American Mathematical Monthly 1 Physics of Fluids 1 Reviews of Modern Physics 1 Journal of Applied Probability 1 Operations Research 1 Bulletin de la Classe des Sciences. 5e Série 1 Physical Review, II. Series 1 Physica, Neue Folge 1 Journal of Mathematics and Physics 1 Annals of Mathematical Statistics all top 5 Fields 12 Probability theory and stochastic processes (60-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Fluid mechanics (76-XX) 3 Partial differential equations (35-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 601 times in 542 Documents Cited by ▼ Year ▼ Random walks on lattices. II. Zbl 1342.60067Montroll, Elliott W.; Weiss, George H. 254 1965 On the theory of the Ising model of ferromagnetism. Zbl 0053.18601Newell, Gordon F.; Montroll, Elliott W. 37 1953 Quantum statistics of interacting particles; general theory and some remarks on properties of an electron gas. Zbl 0081.45204Montroll, Elliott W.; Ward, John C. 35 1958 Random walks on lattices. III: Calculation of first-passage times with application to exciton trapping on photosynthetic units. Zbl 1368.60049Montroll, Elliott W. 29 1969 On the wonderful world of random walks. Zbl 0556.60027Montroll, Elliott W.; Shlesinger, Michael F. 25 1984 Random walks with self-similar clusters. Zbl 0461.60085Hughes, Barry D.; Shlesinger, Michael F.; Montroll, Elliott W. 20 1981 On 1/f noise and other distributions with long tails. Zbl 0498.60027Montroll, Elliott W.; Shlesinger, Michael F. 18 1982 On Lévy (or stable) distributions and the Williams-Watts model of dielectric relaxation. Zbl 0598.60100Montroll, Elliott W.; Bendler, John T. 17 1984 Poincaré cycles, ergodicity and irreversibility in assemblies of coupled harmonic oscillators. Zbl 0093.22102Mazur, Peter; Montroll, Elliott 16 1960 Lattice statistics. Zbl 0141.15503Montroll, Elliott W. 15 1964 Fractal random walks. Zbl 0512.60062Hughes, B. D.; Montroll, E. W.; Shlesinger, M. F. 15 1982 Traffic dynamics: analysis of stability in car following. Zbl 1414.90089Herman, Robert; Montroll, Elliott W.; Potts, Renfrey B.; Rothery, Richard W. 14 1959 Markoff chains, Wiener integrals and quantum theory. Zbl 0048.36302Montroll, Elliott W. 12 1952 Nonequilibrium phenomena I: The Boltzmann equation. Zbl 0583.76004 10 1983 Vibration frequency spectra of disordered lattices. I: Moments of the spectra for disordered linear chains. II: Spectra of disordered one- dimensional lattices. Zbl 0088.23801Domb, C.; Maradudin, A. A.; Montroll, E. W.; Weiss, G. H. 8 1959 On the scattering of plane waves by soft obstacles. I. Spherical obstacles. Zbl 0042.44706Hart, Robert W.; Montroll, Elliott W. 7 1951 Nonequilibrium phenomena II: From stochastics to hydrodynamics. Zbl 0551.00016 7 1984 Quantum statistics of interaction particles. II: Cluster integral development of transport coefficients. Zbl 0089.22205Montroll, Elliott W.; Ward, John C. 6 1959 On the theory of Markoff chains. Zbl 0032.17203Montroll, Elliott W. 6 1947 Social dynamics and the quantifying of social forces. Zbl 0422.92027Montroll, Elliott W. 5 1978 On coupled rate equations with quadratic nonlinearities. Zbl 0249.92012Montroll, Elliott W. 5 1972 Frequency spectrum of vibrations of a crystal lattice. Zbl 0059.22601Montroll, Elliott W. 5 1954 Random walks on lattices. Zbl 0139.34901Montroll, Elliott W. 5 1964 On nonlinear processes involving population growth and diffusion. Zbl 0155.29503Montroll, Elliott W. 5 1967 Models of population growth, diffusion, competition and rearrangement. Zbl 0276.92022Montroll, Elliott W.; West, Bruce J. 4 1973 Some statistical aspects of the theory of interacting species. Zbl 0256.92009Montroll, Elliott W. 4 1972 Some remarks on the integral equations of statistical mechanics. Zbl 0111.43803Montroll, Elliott W. 4 1962 A note on Bessel functions of purely imaginary argument. Zbl 0063.04081Montroll, Elliott W. 3 1946 On some mathematical models of social phenomena. Zbl 0441.92022Montroll, Elliott W. 1 1978 Nonequilibrium phenomena. I: The Boltzmann equation. Transl. from the English by A. V. Lukshin. Transl. ed. by A. V. Bobylev and D. N. Zubarev. (Neravnovesnye yavleniya. Uravnenie Bol’tsmana.) Zbl 1092.76500 1 1986 Fractal and lacunary stochastic processes. Zbl 0587.60060Hughes, B. D.; Montroll, E. W.; Shlesinger, M. F. 1 1983 The wonderful world of stochastics. A tribute to Elliott W. Montroll. Zbl 0591.60001 1 1985 An analytical approach to the Ising problem. Zbl 0043.44706Montroll, E. W.; Berlin, T. H. 1 1951 Unsteady-state separation performance of cascades. I. Zbl 0049.42102Montroll, Elliott W.; Newell, Gordon F. 1 1952 Theory of the vibration of simple cubic lattices with nearest neighbor interactions. Zbl 0075.22302Montroll, Elliott W. 1 1956 On the entropy function in sociotechnical systems. Zbl 0468.90022Montroll, Elliott W. 1 1981 On the wedding of certain dynamical processes in disordered complex materials to the theory of stable (Levy) distribution functions. Zbl 0526.60095Montroll, Elliott W.; Shlesinger, Michael F. 1 1983 Fractal stochastic processes: Clusters and intermittancies. Zbl 0526.60096Shlesinger, Michael F.; Montroll, Elliott W. 1 1983 Nonequilibrium phenomena. I: The Boltzmann equation. Transl. from the English by A. V. Lukshin. Transl. ed. by A. V. Bobylev and D. N. Zubarev. (Neravnovesnye yavleniya. Uravnenie Bol’tsmana.) Zbl 1092.76500 1 1986 The wonderful world of stochastics. A tribute to Elliott W. Montroll. Zbl 0591.60001 1 1985 On the wonderful world of random walks. Zbl 0556.60027Montroll, Elliott W.; Shlesinger, Michael F. 25 1984 On Lévy (or stable) distributions and the Williams-Watts model of dielectric relaxation. Zbl 0598.60100Montroll, Elliott W.; Bendler, John T. 17 1984 Nonequilibrium phenomena II: From stochastics to hydrodynamics. Zbl 0551.00016 7 1984 Nonequilibrium phenomena I: The Boltzmann equation. Zbl 0583.76004 10 1983 Fractal and lacunary stochastic processes. Zbl 0587.60060Hughes, B. D.; Montroll, E. W.; Shlesinger, M. F. 1 1983 On the wedding of certain dynamical processes in disordered complex materials to the theory of stable (Levy) distribution functions. Zbl 0526.60095Montroll, Elliott W.; Shlesinger, Michael F. 1 1983 Fractal stochastic processes: Clusters and intermittancies. Zbl 0526.60096Shlesinger, Michael F.; Montroll, Elliott W. 1 1983 On 1/f noise and other distributions with long tails. Zbl 0498.60027Montroll, Elliott W.; Shlesinger, Michael F. 18 1982 Fractal random walks. Zbl 0512.60062Hughes, B. D.; Montroll, E. W.; Shlesinger, M. F. 15 1982 Random walks with self-similar clusters. Zbl 0461.60085Hughes, Barry D.; Shlesinger, Michael F.; Montroll, Elliott W. 20 1981 On the entropy function in sociotechnical systems. Zbl 0468.90022Montroll, Elliott W. 1 1981 Social dynamics and the quantifying of social forces. Zbl 0422.92027Montroll, Elliott W. 5 1978 On some mathematical models of social phenomena. Zbl 0441.92022Montroll, Elliott W. 1 1978 Models of population growth, diffusion, competition and rearrangement. Zbl 0276.92022Montroll, Elliott W.; West, Bruce J. 4 1973 On coupled rate equations with quadratic nonlinearities. Zbl 0249.92012Montroll, Elliott W. 5 1972 Some statistical aspects of the theory of interacting species. Zbl 0256.92009Montroll, Elliott W. 4 1972 Random walks on lattices. III: Calculation of first-passage times with application to exciton trapping on photosynthetic units. Zbl 1368.60049Montroll, Elliott W. 29 1969 On nonlinear processes involving population growth and diffusion. Zbl 0155.29503Montroll, Elliott W. 5 1967 Random walks on lattices. II. Zbl 1342.60067Montroll, Elliott W.; Weiss, George H. 254 1965 Lattice statistics. Zbl 0141.15503Montroll, Elliott W. 15 1964 Random walks on lattices. Zbl 0139.34901Montroll, Elliott W. 5 1964 Some remarks on the integral equations of statistical mechanics. Zbl 0111.43803Montroll, Elliott W. 4 1962 Poincaré cycles, ergodicity and irreversibility in assemblies of coupled harmonic oscillators. Zbl 0093.22102Mazur, Peter; Montroll, Elliott 16 1960 Traffic dynamics: analysis of stability in car following. Zbl 1414.90089Herman, Robert; Montroll, Elliott W.; Potts, Renfrey B.; Rothery, Richard W. 14 1959 Vibration frequency spectra of disordered lattices. I: Moments of the spectra for disordered linear chains. II: Spectra of disordered one- dimensional lattices. Zbl 0088.23801Domb, C.; Maradudin, A. A.; Montroll, E. W.; Weiss, G. H. 8 1959 Quantum statistics of interaction particles. II: Cluster integral development of transport coefficients. Zbl 0089.22205Montroll, Elliott W.; Ward, John C. 6 1959 Quantum statistics of interacting particles; general theory and some remarks on properties of an electron gas. Zbl 0081.45204Montroll, Elliott W.; Ward, John C. 35 1958 Theory of the vibration of simple cubic lattices with nearest neighbor interactions. Zbl 0075.22302Montroll, Elliott W. 1 1956 Frequency spectrum of vibrations of a crystal lattice. Zbl 0059.22601Montroll, Elliott W. 5 1954 On the theory of the Ising model of ferromagnetism. Zbl 0053.18601Newell, Gordon F.; Montroll, Elliott W. 37 1953 Markoff chains, Wiener integrals and quantum theory. Zbl 0048.36302Montroll, Elliott W. 12 1952 Unsteady-state separation performance of cascades. I. Zbl 0049.42102Montroll, Elliott W.; Newell, Gordon F. 1 1952 On the scattering of plane waves by soft obstacles. I. Spherical obstacles. Zbl 0042.44706Hart, Robert W.; Montroll, Elliott W. 7 1951 An analytical approach to the Ising problem. Zbl 0043.44706Montroll, E. W.; Berlin, T. H. 1 1951 On the theory of Markoff chains. Zbl 0032.17203Montroll, Elliott W. 6 1947 A note on Bessel functions of purely imaginary argument. Zbl 0063.04081Montroll, Elliott W. 3 1946 all cited Publications top 5 cited Publications all top 5 Cited by 815 Authors 11 Henry, Bruce I. 10 Meerschaert, Mark Marvin 9 Angstmann, Christopher N. 9 Mainardi, Francesco 9 Weiss, George-Herbert 8 Gorenflo, Rudolf 8 Zaslavskiĭ, Georgiĭ Moiseevich 7 Scalas, Enrico 7 Shlesinger, Michael F. 6 Chen, Yangquan 6 Hughes, Barry D. 6 Magdziarz, Marcin 6 Scheffler, Hans-Peter 5 Bologna, Mauro 5 den Hollander, Frank 5 Iomin, Alexander 5 McGann, Anna V. 5 Sokolov, Igor’ Mikhaĭlovich 5 Weron, Karina 5 West, Bruce J. 5 Zhang, Zhongzhi 4 Černý, Jiří 4 Deng, Weihua 4 dos Santos, Maike A. F. 4 Ge, Fudong 4 Grigolini, Paolo 4 Kou, Chunhai 4 Lu, Hong 4 Metzler, Ralf 4 Montroll, Elliott W. 4 Nichols, James A. 4 Pagnini, Gianni 4 Paradisi, Paolo 4 Sandev, Trifce 4 Sibatov, Renat T. 4 Umarov, Sabir R. 4 Wyłomańska, Agnieszka 3 Barkai, Eli 3 Bäumer, Boris 3 Bondarenko, Anatoliy Nicolaevich 3 Chechkin, Aleksei V. 3 Dai, Meifeng 3 Donnelly, I. C. 3 Gudder, Stanley P. 3 Joyce, G. S. 3 Jurlewicz, Agnieszka 3 Kahn, Peter B. 3 Klafter, Joseph 3 Kozak, John J. 3 Lin, Juan 3 Lu, Shujuan 3 Majumdar, Satya N. 3 Méndez, Vicenç 3 Michelitsch, Thomas M. 3 Montero, Miquel 3 Nobile, Amelia G. 3 Raberto, Marco 3 Riascos, Alejandro P. 3 Schehr, Grégory 3 Shaw, Gordon L. 3 Shuler, Kurt E. 3 Straka, Peter 3 Su, Weiyi 3 Svenkeson, Adam 3 Teuerle, Marek A. 3 Uchaĭkin, Vladimir Vasil’evich 3 Vivoli, Alessandro 3 Vlad, Marcel Ovidiu 3 Zaburdaev, Vasiliĭ Yur’evich 3 Zhang, Mingji 3 Zhang, Zhidong 2 Allegrini, Paolo 2 Anderssen, Robert Scott 2 Aoki, Masanao 2 Arkhincheev, Valeriĭ Efimovich 2 Bates, Peter W. 2 Ben Arous, Gérard 2 Bendler, John T. 2 Biham, Ofer 2 Brout, R. 2 Bugueva, T. V. 2 Kinderknecht, Yana A. 2 Campos, Daniel G. 2 Cecconi, Fabio 2 Cencini, Massimo 2 Chapman, Stephen Jonathan 2 Cheng, Rongjun 2 Colombo, Fabrizio 2 Comtet, Alain 2 Conejero, José Alberto 2 Cornu, Françoise 2 Dawson, Donald Andrew 2 De Bruyne, Benjamin 2 DeWitt, H. E. 2 Dhar, Abhishek 2 Eliazar, Iddo I. 2 Emelianenko, Maria 2 Erickson, Austen M. 2 Falcioni, Massimo 2 García-Colín, Leopoldo Scherer ...and 715 more Authors all top 5 Cited in 155 Serials 64 Journal of Statistical Physics 47 Journal of Mathematical Physics 38 Physical Review, II. Series 26 Journal of Statistical Mechanics: Theory and Experiment 23 Chaos 18 Chaos, Solitons and Fractals 16 Physica A 16 Fractional Calculus & Applied Analysis 13 Journal of Physics A: Mathematical and Theoretical 10 Bulletin of Mathematical Biology 7 Journal of Computational Physics 7 Mathematical Biosciences 7 Stochastic Processes and their Applications 7 Communications in Nonlinear Science and Numerical Simulation 7 The European Physical Journal B. Condensed Matter and Complex Systems 6 International Journal of Modern Physics B 6 Journal of Mathematical Analysis and Applications 6 SIAM Journal on Applied Mathematics 6 Advances in Mathematical Physics 5 Journal of Mathematical Biology 4 Computers & Mathematics with Applications 4 Physics Reports 4 Theoretical and Mathematical Physics 4 Physica D 4 Linear Algebra and its Applications 4 Fractals 4 Nonlinear Dynamics 3 Communications in Mathematical Physics 3 Discrete Mathematics 3 International Journal of Theoretical Physics 3 Journal of Fluid Mechanics 3 Physics Letters. A 3 The Annals of Probability 3 Journal of Applied Probability 3 Journal of Computational and Applied Mathematics 3 Theoretical Computer Science 3 Statistics & Probability Letters 3 Probability Theory and Related Fields 3 Journal of Mathematical Sciences (New York) 3 Multiscale Modeling & Simulation 3 The Philosophical Magazine, VIII. Series 2 Astrophysics and Space Science 2 Biological Cybernetics 2 Inverse Problems 2 Israel Journal of Mathematics 2 Reviews of Modern Physics 2 Applied Mathematics and Computation 2 Automatica 2 Mathematics and Computers in Simulation 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Numerical Analysis 2 Studies in Applied Mathematics 2 Journal of Economic Dynamics & Control 2 Mathematical and Computer Modelling 2 European Journal of Applied Mathematics 2 Potential Analysis 2 Discrete and Continuous Dynamical Systems 2 Il Nuovo Cimento, X. Series 2 Mathematical Modelling of Natural Phenomena 2 Journal of Theoretical Biology 1 Modern Physics Letters B 1 Advances in Applied Probability 1 Archive for History of Exact Sciences 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 International Journal of Control 1 International Journal of Engineering Science 1 Journal of Applied Mathematics and Mechanics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 Physics Letters. B 1 Reports on Mathematical Physics 1 Wave Motion 1 Physics of Fluids, A 1 Mathematics of Computation 1 Theory of Probability and its Applications 1 Aplikace Matematiky 1 Calcolo 1 Information Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of Multivariate Analysis 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Semigroup Forum 1 Theoretical Population Biology 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Statistical Science 1 Journal of Theoretical Probability 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Statistics. Simulation and Computation ...and 55 more Serials all top 5 Cited in 42 Fields 215 Probability theory and stochastic processes (60-XX) 168 Statistical mechanics, structure of matter (82-XX) 95 Partial differential equations (35-XX) 50 Biology and other natural sciences (92-XX) 37 Numerical analysis (65-XX) 34 Real functions (26-XX) 32 Dynamical systems and ergodic theory (37-XX) 30 Combinatorics (05-XX) 25 Quantum theory (81-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Ordinary differential equations (34-XX) 20 Fluid mechanics (76-XX) 18 Special functions (33-XX) 16 Operations research, mathematical programming (90-XX) 12 Systems theory; control (93-XX) 10 Measure and integration (28-XX) 10 Statistics (62-XX) 9 Integral equations (45-XX) 9 Operator theory (47-XX) 7 Geophysics (86-XX) 6 Approximations and expansions (41-XX) 6 Integral transforms, operational calculus (44-XX) 6 Computer science (68-XX) 6 Mechanics of particles and systems (70-XX) 6 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 4 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Astronomy and astrophysics (85-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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