## Lyons, Russell

Compute Distance To:
 Author ID: lyons.russell Published as: Lyons, Russell; Lyons, Russel; Lyons, R. more...less External Links: MGP · Wikidata
 Documents Indexed: 109 Publications since 1982, including 1 Book 1 Further Contribution Co-Authors: 42 Co-Authors with 57 Joint Publications 1,150 Co-Co-Authors
all top 5

### Co-Authors

 50 single-authored 19 Peres, Yuval 11 Schramm, Oded 9 Pemantle, Robin 6 Benjamini, Itai 3 Aldous, David John 3 Zumbrun, Kevin R. 2 Häggström, Olle 2 Holden, Nina 2 Jonasson, Johan 2 Kechris, Alexander S. 2 Sun, Xin 1 Adams, Scot 1 Ancona, Alano 1 Angel, Omer 1 Bowen, Lewis Phylip 1 Felker, Jessica L. 1 Gaboriau, Damien 1 Gurel-Gurevich, Ori 1 Heicklen, Deborah 1 Holroyd, Alexander E. 1 Hu, Yiping 1 James, Nicholas A. 1 Járai, Antal A. 1 Judge, Christopher M. 1 Kahane, Jean-Pierre 1 Körner, Thomas William 1 Kurtz, Thomas Gordon 1 Larsen, Michael Jeffrey 1 Morris, Ben J. 1 Nazarov, Fedor L. 1 Paule, Peter 1 Peled, Ron 1 Pichot, Mikaël 1 Radin, Charles 1 Riese, Axel 1 Russell, Lyons 1 Salem, Raphael 1 Soo, Terry 1 Steif, Jeffrey E. 1 Tang, Pengfei 1 Thom, Andreas Berthold 1 Vassout, Stéphane 1 Veerman, J. J. P. 1 White, Graham 1 Winkler, Peter M. 1 Zhai, Alex 1 Zheng, Tianyi
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### Serials

 18 The Annals of Probability 7 Proceedings of the American Mathematical Society 6 Ergodic Theory and Dynamical Systems 5 Combinatorics, Probability and Computing 4 Electronic Journal of Probability 3 Journal of Theoretical Probability 3 The Annals of Applied Probability 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Israel Journal of Mathematics 2 Studia Mathematica 2 Arkiv för Matematik 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Pacific Journal of Mathematics 2 Probability Theory and Related Fields 2 Geometric and Functional Analysis. GAFA 2 Electronic Communications in Probability 2 Journal of the European Mathematical Society (JEMS) 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Annales de l’Institut Fourier 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Michigan Mathematical Journal 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Applicable Algebra in Engineering, Communication and Computing 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 The New York Journal of Mathematics 1 Bernoulli 1 The Journal of Fourier Analysis and Applications 1 Markov Processes and Related Fields 1 Annals of Mathematics. Second Series 1 Cambridge Series in Statistical and Probabilistic Mathematics 1 Groups, Geometry, and Dynamics 1 Journal of Topology and Analysis 1 Nonlinear Phenomena in Complex Systems (Minsk)
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### Fields

 69 Probability theory and stochastic processes (60-XX) 30 Combinatorics (05-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Abstract harmonic analysis (43-XX) 12 Measure and integration (28-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Group theory and generalizations (20-XX) 8 Number theory (11-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Statistics (62-XX) 5 Computer science (68-XX) 4 Potential theory (31-XX) 4 Differential geometry (53-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Geometry (51-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Mathematical logic and foundations (03-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

89 Publications have been cited 2,339 times in 1,532 Documents Cited by Year
Probability on trees and networks. Zbl 1376.05002
Lyons, Russell; Peres, Yuval
2016
Processes on unimodular random networks. Zbl 1131.60003
Aldous, David J.; Lyons, Russell
2007
Conceptual proofs of $$L\log L$$ criteria for mean behavior of branching processes. Zbl 0840.60077
Lyons, Russell; Pemantle, Robin; Peres, Yuval
1995
Random walks and percolation on trees. Zbl 0714.60089
Lyons, Russell
1990
A simple path to Biggins’ martingale convergence for branching random walk. Zbl 0897.60086
Lyons, Russell
1997
Uniform spanning forests. Zbl 1016.60009
Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded
2001
Asymptotic enumeration of spanning trees. Zbl 1076.05007
Lyons, Russell
2005
Determinantal probability measures. Zbl 1055.60003
Lyons, Russell
2003
Group-invariant percolation on graphs. Zbl 0924.43002
Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O.
1999
Random walks, capacity and percolation on trees. Zbl 0766.60091
Lyons, Russell
1992
Ergodic theory on Galton-Watson trees: Speed of random walk and dimension of harmonic measure. Zbl 0819.60077
Lyons, Russell; Pemantle, Robin; Peres, Yuval
1995
Biased random walks on Galton-Watson trees. Zbl 0859.60076
Lyons, Russell; Pemantle, Robin; Peres, Yuval
1996
Distance covariance in metric spaces. Zbl 1292.62087
Lyons, Russell
2013
Random walk in a random environment and first-passage percolation on trees. Zbl 0751.60066
Lyons, Russell; Pemantle, Robin
1992
A measurable-group-theoretic solution to von Neumann’s problem. Zbl 1182.43002
Gaboriau, Damien; Lyons, Russell
2009
Strong laws of large numbers for weakly correlated random variables. Zbl 0684.60025
Lyons, Russell
1988
Phase transitions on nonamenable graphs. Zbl 1034.82014
Lyons, Russell
2000
Indistinguishability of percolation clusters. Zbl 0960.60013
Lyons, Russell; Schramm, Oded
1999
A conceptual proof of the Kesten-Stigum theorem for multi-type branching processes. Zbl 0868.60068
Kurtz, Thomas; Lyons, Russell; Pemantle, Robin; Peres, Yuval
1997
The Ising model and percolation on trees and tree-like graphs. Zbl 0679.60101
Lyons, Russell
1989
Critical percolation on any nonamenable group has no infinite clusters. Zbl 0961.60015
Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded
1999
Perfect matchings as IID factors on non-amenable groups. Zbl 1229.05115
Lyons, Russell; Nazarov, Fedor
2011
Random walks on the lamplighter group. Zbl 0879.60004
Lyons, Russell; Permantle, Robin; Peres, Yuval
1996
Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination. Zbl 1068.82010
Lyons, Russell; Steif, Jeffrey E.
2003
Unimodular random trees. Zbl 1328.05166
Benjamini, Itai; Lyons, Russell; Schramm, Oded
2015
Seventy years of Rajchman measures. Zbl 0886.43001
Lyons, Russell
1995
Ends in uniform spanning forests. Zbl 1191.60016
Lyons, Russell; Morris, Benjamin J.; Schramm, Oded
2008
Percolation perturbations in potential theory and random walks. Zbl 0958.05121
Benjamini, Itai; Lyons, Russell; Schramm, Oded
1999
On measures simultaneously 2- and 3-invariant. Zbl 0654.28010
Lyons, Russell
1988
Minimal spanning forests. Zbl 1142.60065
Lyons, Russel; Peres, Yuval; Schramm, Oded
2006
Random orderings and unique ergodicity of automorphism groups. Zbl 1304.22027
Angel, Omer; Kechris, Alexander S.; Lyons, Russell
2014
Explicit isoperimetric constants and phase transitions in the random-cluster model. Zbl 1025.60044
Häggström, Olle; Jonasson, Johan; Lyons, Russell
2002
Unsolved problems concerning random walks on trees. Zbl 0867.60067
Lyons, Russell; Pemantle, Robin; Peres, Yuval
1997
Random complexes and $$\ell^2$$-Betti numbers. Zbl 1369.05107
Lyons, Russell
2009
Fourier-Stieltjes coefficients and asymptotic distribution modulo 1. Zbl 0583.43006
Lyons, Russell
1985
Factors of IID on trees. Zbl 1371.05129
Lyons, Russell
2017
Crossing estimates and convergence of Dirichlet functions along random walk and diffusion paths. Zbl 0945.60063
Ancona, Alano; Lyons, Russell; Peres, Yuval
1999
Poisson splitting by factors. Zbl 1277.60087
Holroyd, Alexander E.; Lyons, Russell; Soo, Terry
2011
A computer proof of a series evaluation in terms of harmonic numbers. Zbl 1011.33003
Lyons, Russell; Paule, Peter; Riese, Axel
2002
Recurrence of random walk traces. Zbl 1118.60059
Benjamini, Itai; Gurel-Gurevich, Ori; Lyons, Russell
2007
Random walks and the growth of groups. Zbl 0831.60079
Lyons, Russell
1995
Amenability, Kazhdan’s property and percolation for trees, groups and equivalence relations. Zbl 0790.43001
1991
Determinantal probability. Zbl 1373.60087
Lyons, Russell
2014
Markov chain intersections and the loop-erased walk. Zbl 1030.60035
Lyons, Russell; Peres, Yuval; Schramm, Oded
2003
Identities and inequalities for tree entropy. Zbl 1215.05031
Lyons, Russell
2010
A bird’s eye view of uniform spanning trees and forests. Zbl 0909.60016
Lyons, Russell
1998
The measure of non-normal sets. Zbl 0585.10036
Lyons, Russell
1986
High-precision entropy values for spanning trees in lattices. Zbl 1099.82503
Felker, Jessica L.; Lyons, Russell
2003
Sharp bounds on random walk eigenvalues via spectral embedding. Zbl 1419.05132
Lyons, Russell; Oveis Gharan, Shayan
2018
Growth of the number of spanning trees of the Erdős-Rényi giant component. Zbl 1160.05336
Lyons, Russell; Peled, Ron; Schramm, Oded
2008
A lower bound on the Cesaro operator. Zbl 0503.47006
Lyons, Russell
1982
Fixed price of groups and percolation. Zbl 1260.05074
Lyons, Russell
2013
Resistance bounds for first-passage percolation and maximum flow. Zbl 0918.60089
Lyons, Russell; Pemantle, Robin; Peres, Yuval
1999
Lower bounds for trace reconstruction. Zbl 1445.62014
Holden, Nina; Lyons, Russell
2020
Characterizations of measures whose Fourier-Stieltjes transforms vanish at infinity. Zbl 0513.43006
Lyons, Russell
1984
Perfect sets and trigonometric series. 2nd ed. With notes by Kahane, Thomas W. Körner, Russell Lyons and Stephen William Drury. 2ème éd. rev. et augm. (Ensembles parfaits et séries trigonométriques.) Zbl 0856.42001
Kahane, Jean-Pierre; Salem, Raphaël
1994
Diffusions and random shadows in negatively curved manifolds. Zbl 0877.58058
Lyons, Russell
1996
Change intolerance in spanning forests. Zbl 1019.60092
Heicklen, Deborah; Lyons, Russell
2003
Stationary measures for random walks in a random environment with random scenery. Zbl 0926.60021
Lyons, Russell; Schramm, Oded
1999
Mixing and asymptotic distribution modulo 1. Zbl 0645.10042
Lyons, Russell
1988
Errata to: “Distance covariance in metric spaces”. Zbl 1466.62343
Lyons, Russell
2018
A note on tail triviality for determinantal point processes. Zbl 1414.60034
Lyons, Russell
2018
Singularity of some random continued fractions. Zbl 0971.60021
Lyons, Russell
2000
A new type of sets of uniqueness. Zbl 0677.42006
Lyons, Russell
1988
A solidification phenomenon in random packings. Zbl 1121.52032
Bowen, L.; Lyons, R.; Radin, C.; Winkler, P.
2006
Homogeneous partial derivatives of radial functions. Zbl 0815.26006
Lyons, Russell; Zumbrun, Kevin
1994
Equivalence of boundary measures on covering trees of finite graphs. Zbl 0821.58008
Lyons, Russell
1994
Cycle density in infinite Ramanujan graphs. Zbl 1346.60061
Lyons, Russell; Peres, Yuval
2015
Járai, A. A.; Lyons, R.
2007
Szegő limit theorems. Zbl 1043.47026
Lyons, Russel
2003
Coupling and Bernoullicity in random-cluster and Potts models. Zbl 1012.60086
Häggström, Olle; Jonasson, Johan; Lyons, Russell
2002
Uniform non-amenability, cost, and the first $$\ell^2$$-Betti number. Zbl 1196.37011
Lyons, Russell; Pichot, Mikaël; Vassout, Stéphane
2008
A transient Markov chain with finitely many cutpoints. Zbl 1167.60340
James, Nicholas; Lyons, Russell; Peres, Yuval
2008
The size of some classes of thin sets. Zbl 0628.43006
Lyons, Russell
1987
Invariant coupling of determinantal measures on sofic groups. Zbl 1355.37018
Lyons, Russell; Thom, Andreas
2016
Coalescing particles on an interval. Zbl 0922.60061
Larsen, Michael; Lyons, Russell
1999
Poisson boundaries of lamplighter groups: proof of the Kaimanovich-Vershik conjecture. Zbl 07357346
Lyons, Russell; Peres, Yuval
2021
A calculus proof of the Cramér-Wold theorem. Zbl 1379.60022
Lyons, Russell; Zumbrun, Kevin
2018
Measure-theoretic quantifiers and Haar measure. Zbl 0468.28013
Lyons, Russell
1982
Zero sets for spaces of analytic functions. (Ensembles de zéros pour des espaces de fonctions analytiques.) Zbl 1410.30004
Lyons, Russell; Zhai, Alex
2018
Second errata to: “Processes on unimodular random networks”. Zbl 1412.60018
Aldous, David; Lyons, Russell
2019
Induced graphs of uniform spanning forests. Zbl 1478.60266
Lyons, Russell; Peres, Yuval; Sun, Xin
2020
A primer on Laplacian dynamics in directed graphs. Zbl 1452.05075
Veerman, J. J. P.; Lyons, R.
2020
Upper bounds for the spectral function on homogeneous spaces via volume growth. Zbl 1436.58023
Judge, Chris; Lyons, Russell
2019
Erratum to “Measure-theoretic quantifiers and Haar measure”. Zbl 0545.28007
Lyons, Russell
1984
Comparing graphs of different sizes. Zbl 1371.05065
Lyons, Russell
2017
Singular measures with spectral gaps. Zbl 0694.43006
Lyons, Russell
1988
Ordinal rankings on measures annihilating thin sets. Zbl 0706.43007
Kechris, Alexander S.; Lyons, Russell
1988
On the structure of sets of uniqueness. Zbl 0712.42021
Lyons, Russell
1987
Poisson boundaries of lamplighter groups: proof of the Kaimanovich-Vershik conjecture. Zbl 07357346
Lyons, Russell; Peres, Yuval
2021
Lower bounds for trace reconstruction. Zbl 1445.62014
Holden, Nina; Lyons, Russell
2020
Induced graphs of uniform spanning forests. Zbl 1478.60266
Lyons, Russell; Peres, Yuval; Sun, Xin
2020
A primer on Laplacian dynamics in directed graphs. Zbl 1452.05075
Veerman, J. J. P.; Lyons, R.
2020
Second errata to: “Processes on unimodular random networks”. Zbl 1412.60018
Aldous, David; Lyons, Russell
2019
Upper bounds for the spectral function on homogeneous spaces via volume growth. Zbl 1436.58023
Judge, Chris; Lyons, Russell
2019
Sharp bounds on random walk eigenvalues via spectral embedding. Zbl 1419.05132
Lyons, Russell; Oveis Gharan, Shayan
2018
Errata to: “Distance covariance in metric spaces”. Zbl 1466.62343
Lyons, Russell
2018
A note on tail triviality for determinantal point processes. Zbl 1414.60034
Lyons, Russell
2018
A calculus proof of the Cramér-Wold theorem. Zbl 1379.60022
Lyons, Russell; Zumbrun, Kevin
2018
Zero sets for spaces of analytic functions. (Ensembles de zéros pour des espaces de fonctions analytiques.) Zbl 1410.30004
Lyons, Russell; Zhai, Alex
2018
Factors of IID on trees. Zbl 1371.05129
Lyons, Russell
2017
Comparing graphs of different sizes. Zbl 1371.05065
Lyons, Russell
2017
Probability on trees and networks. Zbl 1376.05002
Lyons, Russell; Peres, Yuval
2016
Invariant coupling of determinantal measures on sofic groups. Zbl 1355.37018
Lyons, Russell; Thom, Andreas
2016
Unimodular random trees. Zbl 1328.05166
Benjamini, Itai; Lyons, Russell; Schramm, Oded
2015
Cycle density in infinite Ramanujan graphs. Zbl 1346.60061
Lyons, Russell; Peres, Yuval
2015
Random orderings and unique ergodicity of automorphism groups. Zbl 1304.22027
Angel, Omer; Kechris, Alexander S.; Lyons, Russell
2014
Determinantal probability. Zbl 1373.60087
Lyons, Russell
2014
Distance covariance in metric spaces. Zbl 1292.62087
Lyons, Russell
2013
Fixed price of groups and percolation. Zbl 1260.05074
Lyons, Russell
2013
Perfect matchings as IID factors on non-amenable groups. Zbl 1229.05115
Lyons, Russell; Nazarov, Fedor
2011
Poisson splitting by factors. Zbl 1277.60087
Holroyd, Alexander E.; Lyons, Russell; Soo, Terry
2011
Identities and inequalities for tree entropy. Zbl 1215.05031
Lyons, Russell
2010
A measurable-group-theoretic solution to von Neumann’s problem. Zbl 1182.43002
Gaboriau, Damien; Lyons, Russell
2009
Random complexes and $$\ell^2$$-Betti numbers. Zbl 1369.05107
Lyons, Russell
2009
Ends in uniform spanning forests. Zbl 1191.60016
Lyons, Russell; Morris, Benjamin J.; Schramm, Oded
2008
Growth of the number of spanning trees of the Erdős-Rényi giant component. Zbl 1160.05336
Lyons, Russell; Peled, Ron; Schramm, Oded
2008
Uniform non-amenability, cost, and the first $$\ell^2$$-Betti number. Zbl 1196.37011
Lyons, Russell; Pichot, Mikaël; Vassout, Stéphane
2008
A transient Markov chain with finitely many cutpoints. Zbl 1167.60340
James, Nicholas; Lyons, Russell; Peres, Yuval
2008
Processes on unimodular random networks. Zbl 1131.60003
Aldous, David J.; Lyons, Russell
2007
Recurrence of random walk traces. Zbl 1118.60059
Benjamini, Itai; Gurel-Gurevich, Ori; Lyons, Russell
2007
Járai, A. A.; Lyons, R.
2007
Minimal spanning forests. Zbl 1142.60065
Lyons, Russel; Peres, Yuval; Schramm, Oded
2006
A solidification phenomenon in random packings. Zbl 1121.52032
Bowen, L.; Lyons, R.; Radin, C.; Winkler, P.
2006
Asymptotic enumeration of spanning trees. Zbl 1076.05007
Lyons, Russell
2005
Determinantal probability measures. Zbl 1055.60003
Lyons, Russell
2003
Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination. Zbl 1068.82010
Lyons, Russell; Steif, Jeffrey E.
2003
Markov chain intersections and the loop-erased walk. Zbl 1030.60035
Lyons, Russell; Peres, Yuval; Schramm, Oded
2003
High-precision entropy values for spanning trees in lattices. Zbl 1099.82503
Felker, Jessica L.; Lyons, Russell
2003
Change intolerance in spanning forests. Zbl 1019.60092
Heicklen, Deborah; Lyons, Russell
2003
Szegő limit theorems. Zbl 1043.47026
Lyons, Russel
2003
Explicit isoperimetric constants and phase transitions in the random-cluster model. Zbl 1025.60044
Häggström, Olle; Jonasson, Johan; Lyons, Russell
2002
A computer proof of a series evaluation in terms of harmonic numbers. Zbl 1011.33003
Lyons, Russell; Paule, Peter; Riese, Axel
2002
Coupling and Bernoullicity in random-cluster and Potts models. Zbl 1012.60086
Häggström, Olle; Jonasson, Johan; Lyons, Russell
2002
Uniform spanning forests. Zbl 1016.60009
Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded
2001
Phase transitions on nonamenable graphs. Zbl 1034.82014
Lyons, Russell
2000
Singularity of some random continued fractions. Zbl 0971.60021
Lyons, Russell
2000
Group-invariant percolation on graphs. Zbl 0924.43002
Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O.
1999
Indistinguishability of percolation clusters. Zbl 0960.60013
Lyons, Russell; Schramm, Oded
1999
Critical percolation on any nonamenable group has no infinite clusters. Zbl 0961.60015
Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded
1999
Percolation perturbations in potential theory and random walks. Zbl 0958.05121
Benjamini, Itai; Lyons, Russell; Schramm, Oded
1999
Crossing estimates and convergence of Dirichlet functions along random walk and diffusion paths. Zbl 0945.60063
Ancona, Alano; Lyons, Russell; Peres, Yuval
1999
Resistance bounds for first-passage percolation and maximum flow. Zbl 0918.60089
Lyons, Russell; Pemantle, Robin; Peres, Yuval
1999
Stationary measures for random walks in a random environment with random scenery. Zbl 0926.60021
Lyons, Russell; Schramm, Oded
1999
Coalescing particles on an interval. Zbl 0922.60061
Larsen, Michael; Lyons, Russell
1999
A bird’s eye view of uniform spanning trees and forests. Zbl 0909.60016
Lyons, Russell
1998
A simple path to Biggins’ martingale convergence for branching random walk. Zbl 0897.60086
Lyons, Russell
1997
A conceptual proof of the Kesten-Stigum theorem for multi-type branching processes. Zbl 0868.60068
Kurtz, Thomas; Lyons, Russell; Pemantle, Robin; Peres, Yuval
1997
Unsolved problems concerning random walks on trees. Zbl 0867.60067
Lyons, Russell; Pemantle, Robin; Peres, Yuval
1997
Biased random walks on Galton-Watson trees. Zbl 0859.60076
Lyons, Russell; Pemantle, Robin; Peres, Yuval
1996
Random walks on the lamplighter group. Zbl 0879.60004
Lyons, Russell; Permantle, Robin; Peres, Yuval
1996
Diffusions and random shadows in negatively curved manifolds. Zbl 0877.58058
Lyons, Russell
1996
Conceptual proofs of $$L\log L$$ criteria for mean behavior of branching processes. Zbl 0840.60077
Lyons, Russell; Pemantle, Robin; Peres, Yuval
1995
Ergodic theory on Galton-Watson trees: Speed of random walk and dimension of harmonic measure. Zbl 0819.60077
Lyons, Russell; Pemantle, Robin; Peres, Yuval
1995
Seventy years of Rajchman measures. Zbl 0886.43001
Lyons, Russell
1995
Random walks and the growth of groups. Zbl 0831.60079
Lyons, Russell
1995
Perfect sets and trigonometric series. 2nd ed. With notes by Kahane, Thomas W. Körner, Russell Lyons and Stephen William Drury. 2ème éd. rev. et augm. (Ensembles parfaits et séries trigonométriques.) Zbl 0856.42001
Kahane, Jean-Pierre; Salem, Raphaël
1994
Homogeneous partial derivatives of radial functions. Zbl 0815.26006
Lyons, Russell; Zumbrun, Kevin
1994
Equivalence of boundary measures on covering trees of finite graphs. Zbl 0821.58008
Lyons, Russell
1994
Random walks, capacity and percolation on trees. Zbl 0766.60091
Lyons, Russell
1992
Random walk in a random environment and first-passage percolation on trees. Zbl 0751.60066
Lyons, Russell; Pemantle, Robin
1992
Amenability, Kazhdan’s property and percolation for trees, groups and equivalence relations. Zbl 0790.43001
1991
Random walks and percolation on trees. Zbl 0714.60089
Lyons, Russell
1990
The Ising model and percolation on trees and tree-like graphs. Zbl 0679.60101
Lyons, Russell
1989
Strong laws of large numbers for weakly correlated random variables. Zbl 0684.60025
Lyons, Russell
1988
On measures simultaneously 2- and 3-invariant. Zbl 0654.28010
Lyons, Russell
1988
Mixing and asymptotic distribution modulo 1. Zbl 0645.10042
Lyons, Russell
1988
A new type of sets of uniqueness. Zbl 0677.42006
Lyons, Russell
1988
Singular measures with spectral gaps. Zbl 0694.43006
Lyons, Russell
1988
Ordinal rankings on measures annihilating thin sets. Zbl 0706.43007
Kechris, Alexander S.; Lyons, Russell
1988
The size of some classes of thin sets. Zbl 0628.43006
Lyons, Russell
1987
On the structure of sets of uniqueness. Zbl 0712.42021
Lyons, Russell
1987
The measure of non-normal sets. Zbl 0585.10036
Lyons, Russell
1986
Fourier-Stieltjes coefficients and asymptotic distribution modulo 1. Zbl 0583.43006
Lyons, Russell
1985
Characterizations of measures whose Fourier-Stieltjes transforms vanish at infinity. Zbl 0513.43006
Lyons, Russell
1984
Erratum to “Measure-theoretic quantifiers and Haar measure”. Zbl 0545.28007
Lyons, Russell
1984
A lower bound on the Cesaro operator. Zbl 0503.47006
Lyons, Russell
1982
Measure-theoretic quantifiers and Haar measure. Zbl 0468.28013
Lyons, Russell
1982
all top 5

### Cited by 1,684 Authors

 51 Peres, Yuval 43 Lyons, Russell 29 Benjamini, Itai 27 Hutchcroft, Tom 17 Angel, Omer 15 Nachmias, Asaf 15 Pemantle, Robin 14 Gantert, Nina 14 Grimmett, Geoffrey R. 14 Hu, Yueyun 14 Timár, Ádám 13 Häggström, Olle 12 Bufetov, Aleksandr Igorevich 12 Járai, Antal A. 12 Mallein, Bastien 12 Schramm, Oded 12 Sly, Allan 11 Bordenave, Charles 11 Bowen, Lewis Phylip 11 Curien, Nicolas 11 Holroyd, Alexander E. 11 Qiu, Yanqi 11 Ren, Yanxia 10 Aidekon, Elie E. F. 10 Gurel-Gurevich, Ori 10 Harris, Simon C. 10 Hermon, Jonathan 10 Janson, Svante 10 Jørgensen, Palle E. T. 10 Kechris, Alexander S. 10 Meiners, Matthias 10 Sidoravicius, Vladas 9 Duits, Maurice 9 Fribergh, Alexander 9 Kyprianou, Andreas E. 9 Mossel, Elchanan 9 Pete, Gábor 9 Shi, Zhan 8 Bansaye, Vincent 8 Barlow, Martin T. 8 Conley, Clinton Taylor 8 Croydon, David A. 8 Ding, Jian 8 Elek, Gábor 8 Iksanov, Aleksander M. 8 Keller, Matthias 8 Song, Renming 8 Soo, Terry 8 Steif, Jeffrey E. 8 Virág, Bálint 7 Addario-Berry, Louigi 7 Backhausz, Ágnes M. 7 Ben Arous, Gérard 7 Bertoin, Jean 7 Borodin, Alexei 7 Bowditch, Adam M. 7 Collevecchio, Andrea 7 Georgakopoulos, Agelos 7 Kious, Daniel 7 Kortchemski, Igor 7 Kozma, Gady 7 Lambert, Amaury 7 Lee, James R. 7 Lubetzky, Eyal 7 Mörters, Peter 7 Zeitouni, Ofer 6 Biggins, J. D. 6 Caputo, Pietro 6 Chen, Xinxin 6 Duminil-Copin, Hugo 6 Hua, Bobo 6 Khoshnevisan, Davar 6 Konsowa, Mokhtar H. 6 Li, Zhongyang 6 Liu, Quansheng 6 Lovász, László 6 Maillard, Pascal 6 Montanari, Andrea 6 Nešetřil, Jaroslav 6 Osada, Hirofumi 6 Rösler, Uwe 6 Sabot, Christophe 6 Szegedy, Balázs 5 Abért, Miklós 5 Broman, Erik Ivar 5 Broutin, Nicolas 5 Chan, Swee Hong 5 Chen, Dayue 5 Dembo, Amir 5 Gwynne, Ewain 5 Harangi, Viktor 5 Hayes, Ben 5 Jonasson, Johan 5 Kozitsky, Yuri Vasil’evich 5 Lelarge, Marc 5 Lindenstrauss, Elon 5 Marks, Andrew S. 5 Martinelli, Fabio 5 Müller, Sebastian 5 Ossona de Mendez, Patrice ...and 1,584 more Authors
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### Cited in 259 Serials

 139 The Annals of Probability 80 Probability Theory and Related Fields 73 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 66 Stochastic Processes and their Applications 49 Journal of Statistical Physics 46 The Annals of Applied Probability 39 Communications in Mathematical Physics 39 Journal of Theoretical Probability 36 Ergodic Theory and Dynamical Systems 35 Electronic Journal of Probability 28 Journal of Applied Probability 28 Proceedings of the American Mathematical Society 27 Israel Journal of Mathematics 25 Statistics & Probability Letters 23 Transactions of the American Mathematical Society 22 Advances in Mathematics 21 Advances in Applied Probability 20 Electronic Communications in Probability 19 Random Structures & Algorithms 19 Bernoulli 17 Journal of Functional Analysis 14 Geometric and Functional Analysis. GAFA 14 ALEA. Latin American Journal of Probability and Mathematical Statistics 14 Groups, Geometry, and Dynamics 13 Combinatorics, Probability and Computing 12 Discrete Mathematics 12 Journal of Mathematical Physics 12 Inventiones Mathematicae 11 Duke Mathematical Journal 11 Probability Surveys 10 European Journal of Combinatorics 10 Journal of the American Mathematical Society 10 Annals of Mathematics. Second Series 9 Journal of Mathematical Analysis and Applications 9 The Annals of Statistics 9 The Electronic Journal of Combinatorics 8 Journal of Combinatorial Theory. Series A 8 Discrete & Computational Geometry 8 Potential Analysis 7 Physica A 7 Journal of Multivariate Analysis 7 Mathematische Annalen 7 Combinatorica 6 Discrete Applied Mathematics 6 Journal of the American Statistical Association 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Journal of the European Mathematical Society (JEMS) 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Modern Dynamics 6 Science China. Mathematics 5 Communications on Pure and Applied Mathematics 5 The Journal of Symbolic Logic 5 Mathematische Zeitschrift 5 Advances in Applied Mathematics 5 Acta Mathematica Hungarica 5 Acta Applicandae Mathematicae 5 Journal of Machine Learning Research (JMLR) 5 Forum of Mathematics, Sigma 4 Bulletin of the Australian Mathematical Society 4 Journal d’Analyse Mathématique 4 Journal of Statistical Planning and Inference 4 Memoirs of the American Mathematical Society 4 Monatshefte für Mathematik 4 Theoretical Computer Science 4 Annals of Pure and Applied Logic 4 Revista Matemática Iberoamericana 4 SIAM Journal on Discrete Mathematics 4 European Journal of Operational Research 4 Journal of Mathematical Sciences (New York) 4 Annales Henri Poincaré 4 Oberwolfach Reports 4 Proceedings of the Steklov Institute of Mathematics 4 Frontiers of Mathematics in China 4 Annales Henri Lebesgue 3 Journal of Mathematical Biology 3 Annales de l’Institut Fourier 3 Compositio Mathematica 3 Acta Mathematicae Applicatae Sinica. English Series 3 Bulletin of the American Mathematical Society. New Series 3 Expositiones Mathematicae 3 Computational Statistics and Data Analysis 3 Indagationes Mathematicae. New Series 3 Journal of Algebraic Combinatorics 3 The Journal of Fourier Analysis and Applications 3 Mathematical Physics, Analysis and Geometry 3 Stochastics and Dynamics 3 Journal of Fractal Geometry 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 Graduate Journal of Mathematics 2 American Mathematical Monthly 2 Artificial Intelligence 2 Communications in Algebra 2 Information Processing Letters 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Metrika 2 Rocky Mountain Journal of Mathematics 2 Studia Mathematica 2 Arkiv för Matematik 2 Reviews in Mathematical Physics 2 Theory of Probability and its Applications ...and 159 more Serials
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### Cited in 55 Fields

 984 Probability theory and stochastic processes (60-XX) 479 Combinatorics (05-XX) 291 Statistical mechanics, structure of matter (82-XX) 179 Dynamical systems and ergodic theory (37-XX) 104 Measure and integration (28-XX) 90 Statistics (62-XX) 74 Group theory and generalizations (20-XX) 59 Computer science (68-XX) 50 Number theory (11-XX) 48 Topological groups, Lie groups (22-XX) 45 Mathematical logic and foundations (03-XX) 44 Abstract harmonic analysis (43-XX) 43 Biology and other natural sciences (92-XX) 41 Functional analysis (46-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 38 Operator theory (47-XX) 31 Partial differential equations (35-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 29 Potential theory (31-XX) 28 Operations research, mathematical programming (90-XX) 24 Quantum theory (81-XX) 23 Convex and discrete geometry (52-XX) 20 Functions of a complex variable (30-XX) 19 General topology (54-XX) 18 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Information and communication theory, circuits (94-XX) 14 Special functions (33-XX) 14 Manifolds and cell complexes (57-XX) 13 Numerical analysis (65-XX) 11 Difference and functional equations (39-XX) 10 Algebraic topology (55-XX) 9 Real functions (26-XX) 9 Geometry (51-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Several complex variables and analytic spaces (32-XX) 5 History and biography (01-XX) 5 Ordinary differential equations (34-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Sequences, series, summability (40-XX) 4 Integral transforms, operational calculus (44-XX) 4 Relativity and gravitational theory (83-XX) 3 Algebraic geometry (14-XX) 3 Category theory; homological algebra (18-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Commutative algebra (13-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Integral equations (45-XX) 1 Geophysics (86-XX)

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