2017, ISBN 9781470419820, xxvi, 372 pages

Noncooperative games | Positional games (pursuit and evasion, etc.) | Market models (auctions, bargaining, bidding, selling, etc.) | Rationality, learning | Game theory | Cooperative games | Game theory, economics, social and behavioral sciences | Mathematical economics | Voting theory | Combinatorial games | Games involving graphs | Signaling, communication | Games in extensive form

Book

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

Trees (Graph theory) | Stochastic processes

eBook

2017, Second edition., ISBN 1470429624, xvi, 447 pages

Book

2014, Memoirs of the American Mathematical Society, ISBN 9781470409104, Volume number 1092, v, 84

Book

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

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

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

Physical Sciences | Mathematics | Science & Technology

Journal Article

2009, University lecture series, ISBN 9780821843734, Volume 51, ix, 154

Book

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

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

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

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

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

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

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

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

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

Probability theory and related fields, ISSN 0178-8051, 8/2016, Volume 165, Issue 3, pp. 771 - 794

...Probab. Theory Relat. Fields (2016) 165:771–794
DOI 10.1007/s00440-015-0645-5
Dimension of fractional Brownian motion with variable
drift
Yuval Peres 1 · Perla...

Brownian motion | Primary 60J65 | Hausdorff dimension | Mathematical and Computational Biology | Statistics for Business/Economics/Mathematical Finance/Insurance | Theoretical, Mathematical and Computational Physics | Probability Theory and Stochastic Processes | Parabolic dimension | Mathematics | Operation Research/Decision Theory | Quantitative Finance | Statistics & Probability | Physical Sciences | Science & Technology | Studies | Graph theory | Mathematical analysis | Brownian movements | Perturbation methods | Texts | Polarity | Constants | Graphs | Formulas (mathematics) | Heat equations

Brownian motion | Primary 60J65 | Hausdorff dimension | Mathematical and Computational Biology | Statistics for Business/Economics/Mathematical Finance/Insurance | Theoretical, Mathematical and Computational Physics | Probability Theory and Stochastic Processes | Parabolic dimension | Mathematics | Operation Research/Decision Theory | Quantitative Finance | Statistics & Probability | Physical Sciences | Science & Technology | Studies | Graph theory | Mathematical analysis | Brownian movements | Perturbation methods | Texts | Polarity | Constants | Graphs | Formulas (mathematics) | Heat equations

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

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Physical Sciences | Physics, Mathematical | Science & Technology

Journal Article

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