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## Lalley, Steven P.

Compute Distance To:
 Author ID: lalley.steven-p Published as: Lalley, Steven P.; Lalley, S. P.; Lalley, Steven; Lalley, S.; Lalley, Steve External Links: MGP · Wikidata
 Documents Indexed: 84 Publications since 1982
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#### Co-Authors

 43 single-authored 9 Sellke, Thomas M. 4 Robbins, Herbert Ellis 3 Kordzakhia, George 3 Zheng, Xinghua 2 Crane, Harry 2 Gatzouras, Dimitrios 2 Hueter, Irene 2 Nobel, Andrew B. 2 Shao, Yuan 1 Chas, Moira 1 Coram, Marc A. 1 Diaconis, Persi Warren 1 Dolgoarshinnykh, R. G. 1 Gouëzel, Sébastien 1 Groeneboom, Piet 1 Holmes, Susan P. 1 Janson, Svante 1 Johnstone, Iain M. 1 Lawler, Gregory Francis 1 Lorden, Gary 1 Narayanan, Hariharan 1 Pemantle, Robin 1 Perkins, Edwin A. 1 Su, Wei 1 Tang, Si 1 Temme, Nico M. 1 Zheng, Bowei
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#### Serials

 15 The Annals of Probability 8 Probability Theory and Related Fields 5 Journal of Theoretical Probability 4 Electronic Communications in Probability 3 Duke Mathematical Journal 3 Journal of Applied Probability 3 Stochastic Processes and their Applications 2 The Annals of Statistics 2 Indiana University Mathematics Journal 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Advances in Applied Mathematics 2 The Annals of Applied Probability 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Electronic Journal of Probability 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Naval Research Logistics 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Communications in Statistics. Sequential Analysis 1 Statistics & Probability Letters 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the National Academy of Sciences of the United States of America 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Probability in the Engineering and Informational Sciences 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Dynamics of Partial Differential Equations
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#### Fields

 62 Probability theory and stochastic processes (60-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Measure and integration (28-XX) 9 Statistics (62-XX) 5 Differential geometry (53-XX) 5 Operations research, mathematical programming (90-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Manifolds and cell complexes (57-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

73 Publications have been cited 683 times in 551 Documents Cited by Year
Hausdorff and box dimensions of certain self-affine fractals. Zbl 0757.28011
Lalley, Steven P.; Gatzouras, Dimitrios
1992
Renewal theorems in symbolic dynamics, with applications to geodesic flows, noneuclidean tessellations and their fractal limits. Zbl 0701.58021
Lalley, Steven P.
1989
A conditional limit theorem for the frontier of a branching Brownian motion. Zbl 0622.60085
Lalley, S. P.; Sellke, T.
1987
The packing and covering functions of some self-similar fractals. Zbl 0665.28005
Lalley, Steven P.
1988
Distribution of periodic orbits of symbolic and axiom A flows. Zbl 0637.58013
Lalley, S. P.
1987
Finite range random walk on free groups and homogeneous trees. Zbl 0804.60006
Lalley, Steven P.
1993
Falconer’s formula for the Hausdorff dimension of a self-affine set in $$\mathbb{R}^ 2$$. Zbl 0867.28006
Hueter, Irene; Lalley, Steven P.
1995
Random series in powers of algebraic integers: Hausdorff dimension of the limit distribution. Zbl 0944.28006
Lalley, Steven P.
1998
Limit theorems for first-passage times in linear and non-linear renewal theory. Zbl 0553.60074
Lalley, S. P.
1984
Regenerative representation for one-dimensional Gibbs states. Zbl 0612.60093
Lalley, S. P.
1986
Closed geodesics in homology classes on surfaces of variable negative curvature. Zbl 0732.53035
Lalley, Steven P.
1989
Beneath the noise, chaos. Zbl 0980.62085
Lalley, Steven P.
1999
Occupation statistics of critical branching random walks in two or higher dimensions. Zbl 1214.60042
Lalley, Steven P.; Zheng, Xinghua
2011
$$\beta$$-expansions with deleted digits for Pisot numbers $$\beta$$. Zbl 0919.11053
Lalley, Steven P.
1997
Geometric interpretation of half-plane capacity. Zbl 1191.60094
Lalley, Steven P.; Lawler, Gregory F.; Narayanan, Hariharan
2009
Denoising deterministic time series. Zbl 1137.37334
Lalley, Steven P.; Nobel, A. B.
2006
Random walks on co-compact Fuchsian groups. (Marches aléatoires sur des groupes fuchsiens co-compacts.) Zbl 1277.60012
Gouëzel, Sébastien; Lalley, Steven P.
2013
Anisotropic branching random walks on homogeneous trees. Zbl 0957.60047
Hueter, Irene; Lalley, Steven P.
2000
Hyperbolic branching Brownian motion. Zbl 0883.60092
Lalley, Steven P.; Sellke, Tom
1997
Percolation on Fuchsian groups. Zbl 0911.60084
Lalley, Steven P.
1998
Limit set of a weakly supercritical contact process on a homogeneous tree. Zbl 0937.60093
Lalley, Steven P.; Sellke, Tom
1998
Renewal theorem for a class of stationary sequences. Zbl 0597.60083
Lalley, S. P.
1986
Statistically self-affine sets: Hausdorff and box dimensions. Zbl 0803.60011
Gatzouras, Dimitrios; Lalley, Steven P.
1994
Travelling waves in inhomogeneous branching Brownian motions. II. Zbl 0692.60064
Lalley, S.; Sellke, T.
1989
Spatial epidemics: Critical behavior in one dimension. Zbl 1181.92073
Lalley, Steven P.
2009
A two-species competition model on $$\mathbb Z^d$$. Zbl 1081.60068
Kordzakhia, George; Lalley, Steven P.
2005
Repeated likelihood ratio tests for curved exponential families. Zbl 0509.62067
Lalley, S. P.
1983
Stochastic search in a convex region. Zbl 0617.60086
Lalley, Steven; Robbins, Herbert
1988
Cycle structure of riffle shuffles. Zbl 0854.05007
Lalley, Steven P.
1996
Spatial epidemics and local times for critical branching random walks in dimensions 2 and 3. Zbl 1204.92061
Lalley, Steven P.; Zheng, Xinghua
2010
Ergodicity and mixing properties of the northeast model. Zbl 1134.60060
Kordzakhia, George; Lalley, Steven P.
2006
Critical scaling for the SIS stochastic epidemic. Zbl 1119.92056
Dolgoarshinnykh, R. G.; Lalley, Steven P.
2006
Traveling waves in inhomogeneous branching Brownian motions. I. Zbl 0658.60113
Lalley, S.; Sellke, T.
1988
On the maximal displacement of critical branching random walk. Zbl 1316.60132
Lalley, Steven P.; Shao, Yuan
2015
Conditional Markov renewal theory. I. Finite and denumerable state space. Zbl 0551.60094
Lalley, S. P.
1984
Riffle shuffles and their associated dynamical systems. Zbl 0965.60022
Lalley, Steven P.
1999
Contact processes on random regular graphs. Zbl 1373.60159
Lalley, Steven; Su, Wei
2017
Probabilistic methods in certain counting problems of ergodic theory. Zbl 0756.58032
Lalley, Steven P.
1991
Self-intersections in combinatorial topology: statistical structure. Zbl 1252.57002
Chas, Moira; Lalley, Steven P.
2012
Chernoff’s distribution and differential equations of parabolic and Airy type. Zbl 1382.60106
Groeneboom, Piet; Lalley, Steven; Temme, Nico
2015
Non-linear renewal theory for lattice random walks. Zbl 0512.60081
Lalley, Steve
1982
Convergence rates of Markov chains on spaces of partitions. Zbl 1296.60183
Crane, Harry; Lalley, Steven P.
2013
Percolation clusters in hyperbolic tessellations. Zbl 0997.60122
Lalley, S. P.
2001
A control problem arising in the sequential design of experiments. Zbl 0599.60043
Lalley, S. P.; Lorden, G.
1986
A one-dimensional infiltration game. Zbl 0653.90097
Lalley, S. P.
1988
On independent statistical decision problems and products of diffusions. Zbl 0535.60067
Johnstone, Iain; Lalley, Steven
1984
Growth profile and invariant measures for the weakly supercritical contact process on a homogeneous tree. Zbl 0954.60090
Lalley, Steven P.
1999
Return probabilities for random walk on a half-line. Zbl 0837.60070
Lalley, Steven P.
1995
Saddle-point approximations and space-time Martin boundary for nearest- neighbor random walk on a homogeneous tree. Zbl 0737.60012
Lalley, Steven P.
1991
Random walks on regular languages and algebraic systems of generating functions. Zbl 1016.60050
Lalley, Steven P.
2001
Brownian motion and the equilibrium measure on the Julia set of a rational mapping. Zbl 0770.58020
Lalley, Steven P.
1992
Self-intersections of closed geodesics on a negatively curved surface: Statistical regularities. Zbl 0868.58066
Lalley, Steven P.
1996
Ruelle’s Perron-Frobenius theorem and the central limit theorem for additive functionals of one-dimensional Gibbs states. Zbl 0679.60034
Lalley, S. P.
1986
Maximal displacement of critical branching symmetric stable processes. Zbl 1352.60122
Lalley, Steven P.; Shao, Yuan
2016
Regeneration in one-dimensional Gibbs states and chains with complete connections. Zbl 1034.60085
Lalley, S. P.
2000
An extension of Hawkes’ theorem on the Hausdorff dimension of a Galton-Watson tree. Zbl 0953.60074
Lalley, Steven P.; Sellke, Thomas
2000
A phase transition for measure-valued SIR epidemic processes. Zbl 1303.60059
Lalley, Steven P.; Perkins, Edwin A.; Zheng, Xinghua
2014
Asymptotically minimax stochastic search strategies in the plane. Zbl 0613.90108
Lalley, Steven; Robbins, Herbert
1987
Limit theorems for the frontier of a one-dimensional branching diffusion. Zbl 0759.60087
Lalley, S.; Sellke, T.
1992
Mostow rigidity and the Bishop-Steger dichotomy for surfaces of variable negative curvature. Zbl 0782.53032
Lalley, Steven P.
1992
Consistency of Bayes estimators of a binary regression function. Zbl 1113.62006
Coram, Marc; Lalley, Steven P.
2006
Travelling salesman with a self-similar itinerary. Zbl 1134.90455
Lalley, Steven P.
1990
Exchangeable Markov processes on $$[k]^{\mathbb N}$$ with càdlàg sample paths. Zbl 1336.60148
Crane, Harry; Lalley, Steven P.
2016
Anisotropic contact processes on homogeneous trees. Zbl 1075.60125
Lalley, Steven P.; Sellke, Thomas M.
2002
An oriented competition model on $$Z_{+}^{2}$$. Zbl 1189.60140
Lalley, Steven P.; Kordzakhia, George
2008
An extension of Kesten’s renewal theorem for random walk in a random environment. Zbl 0602.60056
Lalley, Steve
1986
Algebraic systems of generating functions and return probabilities for random walks. Zbl 1086.60026
Lalley, Steven P.
2004
Metrics on compositions and coincidences among renewal sequences. Zbl 0840.60012
Diaconis, Persi; Holmes, Susan; Janson, Svante; Lalley, Steven P.; Pemantle, Robin
1996
Strict convexity of the limit shape in first-passage percolation. Zbl 1060.60098
Lalley, Steven P.
2003
Critical scaling of stochastic epidemic models. Zbl 1185.60104
Lalley, Steven P.
2007
The “prime number theorem” for the periodic orbits of a Bernoulli flow. Zbl 0645.28013
Lalley, S. P.
1988
Stochastic search in a square and on a torus. Zbl 0647.90110
Lalley, S. P.; Robbins, H. E.
1988
Uniformly ergodic search in a disk. Zbl 0685.90061
Lalley, S. P.; Robbins, Herbert E.
1989
Contact processes on random regular graphs. Zbl 1373.60159
Lalley, Steven; Su, Wei
2017
Maximal displacement of critical branching symmetric stable processes. Zbl 1352.60122
Lalley, Steven P.; Shao, Yuan
2016
Exchangeable Markov processes on $$[k]^{\mathbb N}$$ with càdlàg sample paths. Zbl 1336.60148
Crane, Harry; Lalley, Steven P.
2016
On the maximal displacement of critical branching random walk. Zbl 1316.60132
Lalley, Steven P.; Shao, Yuan
2015
Chernoff’s distribution and differential equations of parabolic and Airy type. Zbl 1382.60106
Groeneboom, Piet; Lalley, Steven; Temme, Nico
2015
A phase transition for measure-valued SIR epidemic processes. Zbl 1303.60059
Lalley, Steven P.; Perkins, Edwin A.; Zheng, Xinghua
2014
Random walks on co-compact Fuchsian groups. (Marches aléatoires sur des groupes fuchsiens co-compacts.) Zbl 1277.60012
Gouëzel, Sébastien; Lalley, Steven P.
2013
Convergence rates of Markov chains on spaces of partitions. Zbl 1296.60183
Crane, Harry; Lalley, Steven P.
2013
Self-intersections in combinatorial topology: statistical structure. Zbl 1252.57002
Chas, Moira; Lalley, Steven P.
2012
Occupation statistics of critical branching random walks in two or higher dimensions. Zbl 1214.60042
Lalley, Steven P.; Zheng, Xinghua
2011
Spatial epidemics and local times for critical branching random walks in dimensions 2 and 3. Zbl 1204.92061
Lalley, Steven P.; Zheng, Xinghua
2010
Geometric interpretation of half-plane capacity. Zbl 1191.60094
Lalley, Steven P.; Lawler, Gregory F.; Narayanan, Hariharan
2009
Spatial epidemics: Critical behavior in one dimension. Zbl 1181.92073
Lalley, Steven P.
2009
An oriented competition model on $$Z_{+}^{2}$$. Zbl 1189.60140
Lalley, Steven P.; Kordzakhia, George
2008
Critical scaling of stochastic epidemic models. Zbl 1185.60104
Lalley, Steven P.
2007
Denoising deterministic time series. Zbl 1137.37334
Lalley, Steven P.; Nobel, A. B.
2006
Ergodicity and mixing properties of the northeast model. Zbl 1134.60060
Kordzakhia, George; Lalley, Steven P.
2006
Critical scaling for the SIS stochastic epidemic. Zbl 1119.92056
Dolgoarshinnykh, R. G.; Lalley, Steven P.
2006
Consistency of Bayes estimators of a binary regression function. Zbl 1113.62006
Coram, Marc; Lalley, Steven P.
2006
A two-species competition model on $$\mathbb Z^d$$. Zbl 1081.60068
Kordzakhia, George; Lalley, Steven P.
2005
Algebraic systems of generating functions and return probabilities for random walks. Zbl 1086.60026
Lalley, Steven P.
2004
Strict convexity of the limit shape in first-passage percolation. Zbl 1060.60098
Lalley, Steven P.
2003
Anisotropic contact processes on homogeneous trees. Zbl 1075.60125
Lalley, Steven P.; Sellke, Thomas M.
2002
Percolation clusters in hyperbolic tessellations. Zbl 0997.60122
Lalley, S. P.
2001
Random walks on regular languages and algebraic systems of generating functions. Zbl 1016.60050
Lalley, Steven P.
2001
Anisotropic branching random walks on homogeneous trees. Zbl 0957.60047
Hueter, Irene; Lalley, Steven P.
2000
Regeneration in one-dimensional Gibbs states and chains with complete connections. Zbl 1034.60085
Lalley, S. P.
2000
An extension of Hawkes’ theorem on the Hausdorff dimension of a Galton-Watson tree. Zbl 0953.60074
Lalley, Steven P.; Sellke, Thomas
2000
Beneath the noise, chaos. Zbl 0980.62085
Lalley, Steven P.
1999
Riffle shuffles and their associated dynamical systems. Zbl 0965.60022
Lalley, Steven P.
1999
Growth profile and invariant measures for the weakly supercritical contact process on a homogeneous tree. Zbl 0954.60090
Lalley, Steven P.
1999
Random series in powers of algebraic integers: Hausdorff dimension of the limit distribution. Zbl 0944.28006
Lalley, Steven P.
1998
Percolation on Fuchsian groups. Zbl 0911.60084
Lalley, Steven P.
1998
Limit set of a weakly supercritical contact process on a homogeneous tree. Zbl 0937.60093
Lalley, Steven P.; Sellke, Tom
1998
$$\beta$$-expansions with deleted digits for Pisot numbers $$\beta$$. Zbl 0919.11053
Lalley, Steven P.
1997
Hyperbolic branching Brownian motion. Zbl 0883.60092
Lalley, Steven P.; Sellke, Tom
1997
Cycle structure of riffle shuffles. Zbl 0854.05007
Lalley, Steven P.
1996
Self-intersections of closed geodesics on a negatively curved surface: Statistical regularities. Zbl 0868.58066
Lalley, Steven P.
1996
Metrics on compositions and coincidences among renewal sequences. Zbl 0840.60012
Diaconis, Persi; Holmes, Susan; Janson, Svante; Lalley, Steven P.; Pemantle, Robin
1996
Falconer’s formula for the Hausdorff dimension of a self-affine set in $$\mathbb{R}^ 2$$. Zbl 0867.28006
Hueter, Irene; Lalley, Steven P.
1995
Return probabilities for random walk on a half-line. Zbl 0837.60070
Lalley, Steven P.
1995
Statistically self-affine sets: Hausdorff and box dimensions. Zbl 0803.60011
Gatzouras, Dimitrios; Lalley, Steven P.
1994
Finite range random walk on free groups and homogeneous trees. Zbl 0804.60006
Lalley, Steven P.
1993
Hausdorff and box dimensions of certain self-affine fractals. Zbl 0757.28011
Lalley, Steven P.; Gatzouras, Dimitrios
1992
Brownian motion and the equilibrium measure on the Julia set of a rational mapping. Zbl 0770.58020
Lalley, Steven P.
1992
Limit theorems for the frontier of a one-dimensional branching diffusion. Zbl 0759.60087
Lalley, S.; Sellke, T.
1992
Mostow rigidity and the Bishop-Steger dichotomy for surfaces of variable negative curvature. Zbl 0782.53032
Lalley, Steven P.
1992
Probabilistic methods in certain counting problems of ergodic theory. Zbl 0756.58032
Lalley, Steven P.
1991
Saddle-point approximations and space-time Martin boundary for nearest- neighbor random walk on a homogeneous tree. Zbl 0737.60012
Lalley, Steven P.
1991
Travelling salesman with a self-similar itinerary. Zbl 1134.90455
Lalley, Steven P.
1990
Renewal theorems in symbolic dynamics, with applications to geodesic flows, noneuclidean tessellations and their fractal limits. Zbl 0701.58021
Lalley, Steven P.
1989
Closed geodesics in homology classes on surfaces of variable negative curvature. Zbl 0732.53035
Lalley, Steven P.
1989
Travelling waves in inhomogeneous branching Brownian motions. II. Zbl 0692.60064
Lalley, S.; Sellke, T.
1989
Uniformly ergodic search in a disk. Zbl 0685.90061
Lalley, S. P.; Robbins, Herbert E.
1989
The packing and covering functions of some self-similar fractals. Zbl 0665.28005
Lalley, Steven P.
1988
Stochastic search in a convex region. Zbl 0617.60086
Lalley, Steven; Robbins, Herbert
1988
Traveling waves in inhomogeneous branching Brownian motions. I. Zbl 0658.60113
Lalley, S.; Sellke, T.
1988
A one-dimensional infiltration game. Zbl 0653.90097
Lalley, S. P.
1988
The “prime number theorem” for the periodic orbits of a Bernoulli flow. Zbl 0645.28013
Lalley, S. P.
1988
Stochastic search in a square and on a torus. Zbl 0647.90110
Lalley, S. P.; Robbins, H. E.
1988
A conditional limit theorem for the frontier of a branching Brownian motion. Zbl 0622.60085
Lalley, S. P.; Sellke, T.
1987
Distribution of periodic orbits of symbolic and axiom A flows. Zbl 0637.58013
Lalley, S. P.
1987
Asymptotically minimax stochastic search strategies in the plane. Zbl 0613.90108
Lalley, Steven; Robbins, Herbert
1987
Regenerative representation for one-dimensional Gibbs states. Zbl 0612.60093
Lalley, S. P.
1986
Renewal theorem for a class of stationary sequences. Zbl 0597.60083
Lalley, S. P.
1986
A control problem arising in the sequential design of experiments. Zbl 0599.60043
Lalley, S. P.; Lorden, G.
1986
Ruelle’s Perron-Frobenius theorem and the central limit theorem for additive functionals of one-dimensional Gibbs states. Zbl 0679.60034
Lalley, S. P.
1986
An extension of Kesten’s renewal theorem for random walk in a random environment. Zbl 0602.60056
Lalley, Steve
1986
Limit theorems for first-passage times in linear and non-linear renewal theory. Zbl 0553.60074
Lalley, S. P.
1984
Conditional Markov renewal theory. I. Finite and denumerable state space. Zbl 0551.60094
Lalley, S. P.
1984
On independent statistical decision problems and products of diffusions. Zbl 0535.60067
Johnstone, Iain; Lalley, Steven
1984
Repeated likelihood ratio tests for curved exponential families. Zbl 0509.62067
Lalley, S. P.
1983
Non-linear renewal theory for lattice random walks. Zbl 0512.60081
Lalley, Steve
1982
all top 5

#### Cited by 635 Authors

 23 Lalley, Steven P. 20 Sharp, Richard W. 14 Pollicott, Mark 13 Fraser, Jonathan MacDonald 10 Feng, De-Jun 8 Bárány, Balázs 8 Käenmäki, Antti 8 Li, Wenxia 7 Morris, Ian D. 7 Zheng, Xinghua 7 Zucca, Fabio 6 Alsmeyer, Gerold 6 Bertacchi, Daniela 6 Kesseböhmer, Marc 6 Peres, Yuval 6 Toninelli, Cristina 5 Berestycki, Julien 5 Bovier, Anton 5 Falconer, Kenneth J. 5 Gui, Yongxin 5 Hutchcroft, Tom 5 Kistler, Nicola 5 Kombrink, Sabrina 5 Lau, Kasing 5 Martinelli, Fabio 5 Shmerkin, Pablo S. 5 Stoyanov, Luchezar N. 4 Arguin, Louis-Pierre 4 Brunet, Éric 4 Cancrini, Nicoletta 4 Crane, Harry 4 Fulman, Jason E. 4 Garnaev, Andrey Yu. 4 Kempton, Tom 4 Louidor, Oren 4 Miao, Junjie 4 Naud, Frédéric 4 Ngai, Sze-Man 4 Peigné, Marc 4 Petkov, Vesselin M. 4 Schonmann, Roberto Henrique 4 Wu, Haihua 4 Zeitouni, Ofer 4 Zhu, Sanguo 3 Aidekon, Elie E. F. 3 Burdzy, Krzysztof 3 Chas, Moira 3 Ding, Jian 3 Fernández Martínez, Manuel 3 Gekhtman, Ilya 3 Gouëzel, Sébastien 3 Groeneboom, Piet 3 Hartung, Lisa Bärbel 3 Jurga, Natalia 3 Lapidus, Michel L. 3 Mcgoff, Kevin 3 Neunhäuserer, Jörg 3 Nobel, Andrew B. 3 Nummelin, Esa 3 Peköz, Erol A. 3 Pillai, Natesh S. 3 Roberto, Cyril 3 Röllin, Adrian 3 Shi, Zhan 3 Sidorov, Nikita A. 3 Troscheit, Sascha 3 Woess, Wolfgang 3 Xi, Lifeng 3 Zou, Yuru 2 Anand, G. V. 2 Anantharaman, Nalini 2 Angel, Omer 2 Benjamini, Itai 2 Berestycki, Nathanaël 2 Bezhaeva, Z. I. 2 Bocharov, Sergey 2 Bourgain, Jean 2 Bressaud, Xavier 2 Buckmann, Fabian 2 Buraczewski, Dariusz 2 Cammarota, Valentina 2 Cantrell, Stephen 2 Ceccherini-Silberstein, Tullio G. 2 Chen, Xinxin 2 Das, Tushar Kanti 2 De Gregorio, Alessandro 2 Deng, Qirong 2 Diaconis, Persi Warren 2 Dong, Xinhan 2 Durrett, Richard Timothy 2 Fathi Vajargah, Behrouz 2 Fernández, Roberto 2 Galves, Antonio 2 Gamburd, Alexander 2 Gardy, Danièle 2 Gilch, Lorenz A. 2 Grigor’yan, Alexander Asaturovich 2 Gut, Allan 2 Häggström, Olle 2 Harris, Simon C. ...and 535 more Authors
all top 5

#### Cited in 153 Serials

 30 The Annals of Probability 27 Probability Theory and Related Fields 26 Ergodic Theory and Dynamical Systems 26 Stochastic Processes and their Applications 18 Journal of Statistical Physics 15 Communications in Mathematical Physics 15 The Annals of Applied Probability 14 Advances in Mathematics 14 Transactions of the American Mathematical Society 13 Proceedings of the American Mathematical Society 12 Monatshefte für Mathematik 11 Advances in Applied Probability 10 Statistics & Probability Letters 10 Journal of Theoretical Probability 9 Journal of Mathematical Analysis and Applications 9 Inventiones Mathematicae 8 The Annals of Statistics 8 Electronic Journal of Probability 7 Israel Journal of Mathematics 7 Duke Mathematical Journal 7 Sequential Analysis 7 Geometric and Functional Analysis. GAFA 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Annales de l’Institut Fourier 5 Geometriae Dedicata 5 Journal of Applied Probability 5 Mathematische Zeitschrift 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Dynamical Systems 4 Nonlinearity 4 Journal of Statistical Planning and Inference 4 Mathematische Nachrichten 4 Statistical Science 4 Journal of the American Mathematical Society 4 Random Structures & Algorithms 4 Experimental Mathematics 4 Fractals 4 Bernoulli 4 Discrete and Continuous Dynamical Systems 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Conformal Geometry and Dynamics 4 Annals of Mathematics. Second Series 3 Communications on Pure and Applied Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Advances in Applied Mathematics 3 Acta Applicandae Mathematicae 3 Queueing Systems 3 Electronic Communications in Probability 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 Scandinavian Journal of Statistics 2 Acta Mathematica 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 International Journal of Game Theory 2 Journal of Algebra 2 Mathematika 2 Theoretical Computer Science 2 Physica D 2 Forum Mathematicum 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the American Mathematical Society. New Series 2 Potential Analysis 2 Combinatorics, Probability and Computing 2 Selecta Mathematica. New Series 2 Chaos 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Statistical Mechanics: Theory and Experiment 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Discrete and Continuous Dynamical Systems. Series S 2 Probability Surveys 2 Journal of Fractal Geometry 1 Archive for Rational Mechanics and Analysis 1 The Canadian Journal of Statistics 1 Discrete Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Theory of Probability and its Applications 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Compositio Mathematica 1 Dissertationes Mathematicae 1 Functional Analysis and its Applications 1 Journal of the American Statistical Association 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics of Operations Research 1 Nagoya Mathematical Journal 1 Naval Research Logistics ...and 53 more Serials
all top 5

#### Cited in 42 Fields

 264 Probability theory and stochastic processes (60-XX) 155 Dynamical systems and ergodic theory (37-XX) 140 Measure and integration (28-XX) 49 Statistical mechanics, structure of matter (82-XX) 47 Statistics (62-XX) 40 Number theory (11-XX) 32 Combinatorics (05-XX) 28 Functions of a complex variable (30-XX) 24 Differential geometry (53-XX) 22 Group theory and generalizations (20-XX) 16 Biology and other natural sciences (92-XX) 13 Topological groups, Lie groups (22-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Operations research, mathematical programming (90-XX) 11 Partial differential equations (35-XX) 11 Computer science (68-XX) 10 Manifolds and cell complexes (57-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Information and communication theory, circuits (94-XX) 8 Potential theory (31-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 General topology (54-XX) 7 Numerical analysis (65-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Real functions (26-XX) 3 Mechanics of particles and systems (70-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic geometry (14-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX)

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