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Russell Lyons - Publications

Affiliations: 
Indiana University, Bloomington, Bloomington, IN, United States 
Area:
Mathematics
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49 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Lyons R, Peres Y, Sun X, Zheng T. Occupation measure of random walks and wired spanning forests in balls of Cayley graphs Annales De La Faculté Des Sciences De Toulouse : MathéMatiques. 29: 97-109. DOI: 10.5802/Afst.1625  0.407
2020 Lyons R, White G. A stationary planar random graph with singular stationary dual: dyadic lattice graphs Probability Theory and Related Fields. 176: 1-33. DOI: 10.1007/S00440-019-00934-0  0.425
2019 Judge C, Lyons R. Upper bounds for the spectral function on homogeneous spaces via volume growth Revista Matematica Iberoamericana. 35: 1835-1858. DOI: 10.4171/Rmi/1103  0.329
2019 Aldous D, Lyons R. Second Errata to “Processes on Unimodular Random Networks” Electronic Journal of Probability. 24. DOI: 10.1214/19-Ejp291  0.338
2018 Lyons R, Zhai A. Zero Sets for Spaces of Analytic Functions Annales De L'Institut Fourier. 68: 2311-2328. DOI: 10.5802/Aif.3210  0.302
2018 Lyons R, Gharan SO. Sharp Bounds on Random Walk Eigenvalues via Spectral Embedding International Mathematics Research Notices. 2018: 7555-7605. DOI: 10.1093/Imrn/Rnx082  0.364
2017 Aldous D, Lyons R. Errata to “Processes on unimodular random networks” Electronic Journal of Probability. 22. DOI: 10.1214/17-Ejp73  0.327
2017 Lyons R. Comparing graphs of different sizes Combinatorics, Probability & Computing. 26: 681-696. DOI: 10.1017/S096354831700013X  0.353
2017 Lyons R. Factors of IID on Trees Combinatorics, Probability & Computing. 26: 285-300. DOI: 10.1017/S096354831600033X  0.374
2016 Lyons R, Thom A. Invariant Coupling of Determinantal Measures on Sofic Groups Ergodic Theory and Dynamical Systems. 36: 574-607. DOI: 10.1017/Etds.2014.70  0.331
2015 Lyons R, Peres Y. Cycle density in infinite Ramanujan graphs Annals of Probability. 43: 3337-3358. DOI: 10.1214/14-Aop961  0.425
2015 Benjamini I, Lyons R, Schramm O. Unimodular random trees Ergodic Theory and Dynamical Systems. 35: 359-373. DOI: 10.1017/Etds.2013.56  0.431
2014 Angel O, Kechris AS, Lyons R. Random orderings and unique ergodicity of automorphism groups Journal of the European Mathematical Society. 16: 2059-2095. DOI: 10.4171/Jems/483  0.425
2011 Holroyd AE, Lyons R, Soo T. Poisson splitting by factors Annals of Probability. 39: 1938-1982. DOI: 10.1214/11-Aop651  0.315
2011 Lyons R, Nazarov F. Perfect matchings as IID factors on non-amenable groups European Journal of Combinatorics. 32: 1115-1125. DOI: 10.1016/J.Ejc.2011.03.008  0.4
2011 Benjamini I, Lyons R, Peres Y, Schramm O. Critical Percolation on any Nonamenable Group has no Infinite Clusters Annals of Probability. 27: 1347-1356. DOI: 10.1007/978-1-4419-9675-6_22  0.38
2010 Lyons R. Identities and inequalities for tree entropy Combinatorics, Probability & Computing. 19: 303-313. DOI: 10.1017/S0963548309990605  0.428
2009 Lyons R. RANDOM COMPLEXES AND ℓ2-BETTI NUMBERS Journal of Topology and Analysis. 1: 153-175. DOI: 10.1142/S1793525309000072  0.389
2008 Lyons R, Morris BJ, Schramm O. Ends in Uniform Spanning Forests Electronic Journal of Probability. 13: 1702-1725. DOI: 10.1214/Ejp.V13-566  0.365
2008 Lyons R, Peled R, Schramm O. Growth of the number of spanning trees of the Erdo″s-Rényi giant component Combinatorics Probability and Computing. 17: 711-726. DOI: 10.1017/S0963548308009188  0.326
2007 Aldous DJ, Lyons R. Processes on Unimodular Random Networks Electronic Journal of Probability. 12: 1454-1508. DOI: 10.1214/Ejp.V12-463  0.383
2007 Benjamini I, Gurel-Gurevich O, Lyons R. Recurrence of random walk traces Annals of Probability. 35: 732-738. DOI: 10.1214/009117906000000935  0.338
2006 Lyons R, Peres Y, Schramm O. Minimal spanning forests Annals of Probability. 34: 1665-1692. DOI: 10.1214/009117906000000269  0.411
2005 Lyons R. Asymptotic Enumeration of Spanning Trees Combinatorics, Probability & Computing. 14: 491-522. DOI: 10.1017/S096354830500684X  0.431
2003 Felker JL, Lyons R. High-precision entropy values for spanning trees in lattices Journal of Physics A. 36: 8361-8365. DOI: 10.1088/0305-4470/36/31/301  0.308
2003 Heicklen D, Lyons R. Change Intolerance in Spanning Forests Journal of Theoretical Probability. 16: 47-58. DOI: 10.1023/A:1022222319655  0.368
2003 Lyons R. Determinantal probability measures Publications MathéMatiques De L'IhéS. 98: 167-212. DOI: 10.1007/S10240-003-0016-0  0.347
2002 Häggström O, Jonasson J, Lyons R. Explicit Isoperimetric Constants and Phase Transitions in the Random-Cluster Model Annals of Probability. 30: 443-473. DOI: 10.1214/Aop/1020107775  0.339
2001 Benjamini I, Lyons R, Peres Y, Schramm O. Uniform spanning forests The Annals of Probability. 29: 1-65. DOI: 10.1214/Aop/1008956321  0.434
2000 Lyons R. Phase transitions on nonamenable graphs Journal of Mathematical Physics. 41: 1099-1126. DOI: 10.1063/1.533179  0.372
2000 Lyons R. Singularity of Some Random Continued Fractions Journal of Theoretical Probability. 13: 535-545. DOI: 10.1023/A:1007837306508  0.351
1999 Benjamini I, Lyons R, Peres Y, Schramm O. Group-invariant Percolation on Graphs Geometric and Functional Analysis. 9: 29-66. DOI: 10.1007/S000390050080  0.376
1999 Lyons R, Pemantle R, Peres Y. Resistance Bounds for First-Passage Percolation and Maximum Flow Journal of Combinatorial Theory, Series A. 86: 158-168. DOI: 10.1006/Jcta.1998.2930  0.339
1998 Lyons R, Zumbrun K. Normality of tree-growing search strategies Annals of Applied Probability. 8: 112-130. DOI: 10.1214/Aoap/1027961036  0.301
1996 Lyons R, Pemantle R, Peres Y. Random walks on the lamplighter group The Annals of Probability. 24: 1993-2006. DOI: 10.1214/Aop/1041903214  0.391
1996 Lyons R, Pemantle R, Peres Y. Biased random walks on Galton-Watson trees Probability Theory and Related Fields. 106: 249-264. DOI: 10.1007/S004400050064  0.334
1996 Lyons R. Diffusions and random shadows in negatively curved manifolds Journal of Functional Analysis. 138: 426-448. DOI: 10.1006/Jfan.1996.0071  0.317
1995 Lyons R, Pemantle R, Peres Y. Conceptual Proofs of $L$ Log $L$ Criteria for Mean Behavior of Branching Processes The Annals of Probability. 23: 1125-1138. DOI: 10.1214/Aop/1176988176  0.31
1995 Lyons R, Pemantle R, Peres Y. Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure Ergodic Theory and Dynamical Systems. 15: 593-619. DOI: 10.1017/S0143385700008543  0.374
1994 Lyons R. Equivalence of boundary measures on covering trees of finite graphs Ergodic Theory and Dynamical Systems. 14: 575-597. DOI: 10.1017/S014338570000804X  0.381
1992 Lyons R, Pemantle R. Random Walk in a Random Environment and First-Passage Percolation on Trees Annals of Probability. 20: 125-136. DOI: 10.1214/Aop/1176989920  0.358
1992 Lyons R. Random Walks, Capacity and Percolation on Trees Annals of Probability. 20: 2043-2088. DOI: 10.1214/Aop/1176989540  0.355
1991 Adams S, Lyons R. Amenability, Kazhdan's property and percolation for trees, groups and equivalence relations Israel Journal of Mathematics. 75: 341-370. DOI: 10.1007/Bf02776032  0.354
1990 Lyons R. Random Walks and Percolation on Trees Annals of Probability. 18: 931-958. DOI: 10.1214/Aop/1176990730  0.421
1989 Lyons R. The Ising model and percolation on trees and tree-like graphs Communications in Mathematical Physics. 125: 337-353. DOI: 10.1007/Bf01217911  0.365
1988 Lyons R. Topologies on measure spaces and the Radon-Nikodym theorem Studia Mathematica. 91: 125-129. DOI: 10.4064/Sm-91-2-125-129  0.305
1988 Kechris AS, Lyons R. Ordinal rankings on measures annihilating thin sets Transactions of the American Mathematical Society. 310: 747-758. DOI: 10.1090/S0002-9947-1988-0951888-6  0.322
1988 Lyons R. Mixing and asymptotic distribution modulo 1 Ergodic Theory and Dynamical Systems. 8: 597-619. DOI: 10.1017/S0143385700004715  0.308
1986 Lyons R. The measure of non-normal sets Inventiones Mathematicae. 83: 605-616. DOI: 10.1007/Bf01394426  0.332
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