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10/2016, Cambridge series in statistical and probabilistic mathematics, ISBN 1107160154, 725
.... Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique... 
Trees (Graph theory) | Stochastic processes
eBook
10/2016, Cambridge studies in advanced mathematics, ISBN 9781107134119, Volume 162, 416
.... The authors incorporate some novel proofs which are simpler than those available elsewhere. Where possible, chapters are designed to be read independently so the book... 
Geometric analysis | Probability measures | Fractal analysis
eBook
2010, Cambridge series in statistical and probabilistic mathematics, ISBN 0521760186, Volume 30., xii, 403
Everything the graduate student in probability wants to know about Brownian motion, including the latest research in the field. 
Brownian motion processes
Book
Probability theory and related fields, ISSN 1432-2064, 07/2019, Volume 176, Issue 3-4, pp. 809 - 849
...) along each open edge. In earlier work of two of the authors with A. Stauffer, it was shown that in the subcritical case p Statistics & Probability | Physical Sciences | Mathematics | Science & Technology | Toruses | Annealing | Upper bounds | Random walk | Clusters | Evolution | Percolation | Programmable logic controllers | Product design | Mixing times | Dynamical percolation | Stopping times | Matematik
Journal Article
International mathematics research notices, ISSN 1073-7928, 02/2020, Volume 2020, Issue 3, pp. 722 - 750
Abstract Let $\mu $ be a symmetric probability measure of finite entropy on a group G. We show that if $-\log \mu ^{(2n)}(\textrm{id})=o\left(n^{1/2}\right)$,... 
Physical Sciences | Mathematics | Science & Technology
Journal Article
Probability theory and related fields, ISSN 1432-2064, 06/2005, Volume 133, Issue 2, pp. 245 - 266
We show that a new probabilistic technique, recently introduced by the first author, yields the sharpest bounds obtained to date on mixing times of Markov chains in terms of isoperimetric properties of the state space... 
Statistics for Business/Economics/Mathematical Finance/Insurance | Operations Research/Decision Theory | Mathematical and Computational Physics | Probability Theory and Stochastic Processes | Mathematics | Mathematical Biology in General | Quantitative Finance | Statistics & Probability | Physical Sciences | Science & Technology | Studies | Probability | Markov analysis
Journal Article
Probability theory and related fields, ISSN 1432-2064, 11/2018, Volume 175, Issue 1-2, pp. 141 - 208
...: transitions in dimensions 9, 10, 11,... Tom Hutchcroft 1 · Yuval Peres 2 Received: 30 June 2017 / Revised: 4 October 2018 / Published online: 23 November 2018... 
60D05 | Statistics for Business, Management, Economics, Finance, Insurance | Mathematical and Computational Biology | Theoretical, Mathematical and Computational Physics | Operations Research/Decision Theory | Probability Theory and Stochastic Processes | Mathematics | 60K35 | Quantitative Finance
Journal Article
Nature (London), ISSN 1476-4687, 06/2005, Volume 435, Issue 7043, pp. 759 - 764
...Author(s): Dimitris Achlioptas (corresponding author) [1]; Assaf Naor [1]; Yuval Peres [2] Constraint satisfaction problems are at the heart of statistical... 
Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology | Computer science | Mathematics | Algorithms | Solutions
Journal Article
The Annals of probability, ISSN 0091-1798, 5/2012, Volume 40, Issue 3, pp. 979 - 1008
Let 𝒞 1 be the largest component of the Erdős—Rényi random graph 𝓖(n, p). The mixing time of random walk on 𝒞 1 in the strictly supercritical regime, p =... 
Statistical graphs | Geometric properties | Random walk | Discrete mathematics | Markov chains | Combinatorics | Vertices | Mixing time | Random graphs | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology | 60J10 | random walk | 05C81 | 05C80 | mixing time
Journal Article
Communications in mathematical physics, ISSN 0010-3616, 11/2013, Volume 323, Issue 3, pp. 1007 - 1016
... Delay Mixing? Yuval Peres 1 , Peter Winkler 2 1 Microsoft Research, Redmond, WA 98052, USA. E-mail: peres@microsoft.com 2 Dept. of Mathematics, Dartmouth College... 
Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | Physical Sciences | Physics, Mathematical | Science & Technology
Journal Article
Communications in mathematical physics, ISSN 0010-3616, 4/2010, Volume 295, Issue 1, pp. 161 - 207
... Ising Model on Trees is Polynomial in the Height Jian Ding 1 , Eyal Lubetzky 2 , Yuval Peres 2 1 Department of Statistics, UC Berkeley, Berkeley, CA 94720, USA. E... 
Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | Physical Sciences | Physics, Mathematical | Science & Technology
Journal Article
Potential analysis, ISSN 1572-929X, 10/2008, Volume 30, Issue 1, pp. 1 - 27
... · Yuval Peres Received: 22 November 2007 / Accepted: 7 October 2008 / Published online: 29 October 2008 © Springer Science + Business Media B.V. 2008 Abstract... 
Internal diffusion limited aggregation | Rotor-router model | Probability Theory and Stochastic Processes | Mathematics | Discrete Laplacian | Geometry | Divisible sandpile | Secondary 35R35 | Growth model | Functional Analysis | Potential Theory | Abelian sandpile | Asymptotic shape | Primary 60G50 | Physical Sciences | Science & Technology
Journal Article
Communications in mathematical physics, ISSN 0010-3616, 7/2009, Volume 289, Issue 2, pp. 725 - 764
... Evolution of Glauber Dynamics for the Mean-Field Ising Model Jian Ding 1,null , Eyal Lubetzky 2 , Yuval Peres 2,null 1 Department of Statistics, UC Berkeley, Berkeley... 
Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Physics | Statistical Physics | Complexity | Physical Sciences | Physics, Mathematical | Science & Technology | Mathematics - Probability
Journal Article
Communications in mathematical physics, ISSN 0010-3616, 9/2018, Volume 362, Issue 2, pp. 455 - 511
... Competitive Erosion is Conformally Invariant Shirshendu Ganguly 1 , Yuval Peres 2 1 Department of Statistics, University of California, Berkeley, USA. E-mail: sganguly... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Physical Sciences | Physics, Mathematical | Science & Technology
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