Peres, Y. (Yuval)
Overview
Works:  27 works in 97 publications in 3 languages and 1,239 library holdings 

Genres:  Conference papers and proceedings History Records and correspondence Sources 
Roles:  Author, Creator, Other 
Classifications:  QA3, 519.2 
Publication Timeline
.
Most widely held works by
Y Peres
Markov chains and mixing times by
David Asher Levin(
Book
)
13 editions published between 2008 and 2009 in English and held by 333 WorldCat member libraries worldwide
This book is an introduction to the modern approach to the theory of Markov chains. The main goal of this approach is to determine the rate of convergence of a Markov chain to the stationary distribution as a function of the size and geometry of the state space. The authors develop the key tools for estimating convergence times, including coupling, strong stationary times, and spectral methods. Whenever possible, probabilistic methods are emphasized. The book includes many examples and provides brief introductions to some central models of statistical mechanics. Also provided are accounts of random walks on networks, including hitting and cover times, and analyses of several methods of shuffling cards. As a prerequisite, the authors assume a modest understanding of probability theory and linear algebra at an undergraduate level. Markov Chains and Mixing Times is meant to bring the excitement of this active area of research to a wide audience
13 editions published between 2008 and 2009 in English and held by 333 WorldCat member libraries worldwide
This book is an introduction to the modern approach to the theory of Markov chains. The main goal of this approach is to determine the rate of convergence of a Markov chain to the stationary distribution as a function of the size and geometry of the state space. The authors develop the key tools for estimating convergence times, including coupling, strong stationary times, and spectral methods. Whenever possible, probabilistic methods are emphasized. The book includes many examples and provides brief introductions to some central models of statistical mechanics. Also provided are accounts of random walks on networks, including hitting and cover times, and analyses of several methods of shuffling cards. As a prerequisite, the authors assume a modest understanding of probability theory and linear algebra at an undergraduate level. Markov Chains and Mixing Times is meant to bring the excitement of this active area of research to a wide audience
Lectures on probability theory and statistics : Ecole d'été de probabilités de SaintFlour XXVIII, 1998 by
Jean Bertoin(
Book
)
30 editions published between 1999 and 2004 in English and German and held by 305 WorldCat member libraries worldwide
Annotation Part I, Bertoin, J.: Subordinators: Examples and Applications: Foreword. Elements on subordinators. Regenerative property. Asymptotic behaviour of last passage times. Rates of growth of local time. Geometric properties of regenerative sets. Burgers equation with Brownian initial velocity. Random covering. Lévy processes. Occupation times of a linear Brownian motion. Part II, Martinelli, F.: Lectures on Glauber Dynamics for Discrete Spin Models: Introduction. Gibbs Measures of Lattice Spin Models. The Glauber Dynamics. One Phase Region. Boundary Phase Transitions. Phase Coexistence. Glauber Dynamics for the Dilute Ising Model. Part III, Peres, Yu.: Probability on Trees: An Introductory Climb: Preface. Basic Definitions and a Few Highlights. GaltonWatson Trees. General percolation on a connected graph. The firstMoment method. Quasiindependent Percolation. The second Moment Method. Electrical Networks. Infinite Networks. The Method of Random Paths. Transience of Percolation Clusters. Subperiodic Trees. The Random Walks RW (lambda) . Capacity.. IntersectionEquivalence. Reconstruction for the Ising Model on a Tree,  Unpredictable Paths in Z and EIT in Z3. TreeIndexed Processes. Recurrence for TreeIndexed Markov Chains. Dynamical Pecsolation. Stochastic Domination Between Trees
30 editions published between 1999 and 2004 in English and German and held by 305 WorldCat member libraries worldwide
Annotation Part I, Bertoin, J.: Subordinators: Examples and Applications: Foreword. Elements on subordinators. Regenerative property. Asymptotic behaviour of last passage times. Rates of growth of local time. Geometric properties of regenerative sets. Burgers equation with Brownian initial velocity. Random covering. Lévy processes. Occupation times of a linear Brownian motion. Part II, Martinelli, F.: Lectures on Glauber Dynamics for Discrete Spin Models: Introduction. Gibbs Measures of Lattice Spin Models. The Glauber Dynamics. One Phase Region. Boundary Phase Transitions. Phase Coexistence. Glauber Dynamics for the Dilute Ising Model. Part III, Peres, Yu.: Probability on Trees: An Introductory Climb: Preface. Basic Definitions and a Few Highlights. GaltonWatson Trees. General percolation on a connected graph. The firstMoment method. Quasiindependent Percolation. The second Moment Method. Electrical Networks. Infinite Networks. The Method of Random Paths. Transience of Percolation Clusters. Subperiodic Trees. The Random Walks RW (lambda) . Capacity.. IntersectionEquivalence. Reconstruction for the Ising Model on a Tree,  Unpredictable Paths in Z and EIT in Z3. TreeIndexed Processes. Recurrence for TreeIndexed Markov Chains. Dynamical Pecsolation. Stochastic Domination Between Trees
Brownian motion by
Peter Mörters(
Book
)
12 editions published between 2010 and 2012 in English and held by 232 WorldCat member libraries worldwide
"This textbook offers a broad and deep exposition of Brownian motion. Extensively class tested, it leads the reader from the basics to the latest research in the area." "Starting with the construction of Brownian motion, the book then proceeds to sample path properties such as continuity and nowhere differentiability. Notions of fractal dimension are introduced early and are used throughout the book to describe fine properties of Brownian paths. The relation of Brownian motion and random walk is explored from several viewpoints, including a development of the theory of Brownian local times from random walk embeddings. Stochastic integration is introduced as a tool, and an accessible treatment of the potential theory of Brownian motion clears the path for an extensive treatment of intersections of Brownian paths. An investigation of exceptional points on the Brownian path and an appendix on SLE processes, by Oded Schramm and Wendelin Werner, lead directly to recent research themes."Jacket
12 editions published between 2010 and 2012 in English and held by 232 WorldCat member libraries worldwide
"This textbook offers a broad and deep exposition of Brownian motion. Extensively class tested, it leads the reader from the basics to the latest research in the area." "Starting with the construction of Brownian motion, the book then proceeds to sample path properties such as continuity and nowhere differentiability. Notions of fractal dimension are introduced early and are used throughout the book to describe fine properties of Brownian paths. The relation of Brownian motion and random walk is explored from several viewpoints, including a development of the theory of Brownian local times from random walk embeddings. Stochastic integration is introduced as a tool, and an accessible treatment of the potential theory of Brownian motion clears the path for an extensive treatment of intersections of Brownian paths. An investigation of exceptional points on the Brownian path and an appendix on SLE processes, by Oded Schramm and Wendelin Werner, lead directly to recent research themes."Jacket
A power law of order 1/4 for critical mean field SwendsenWang dynamics by
Yun Long(
Book
)
5 editions published in 2014 in English and held by 88 WorldCat member libraries worldwide
The SwendsenWang dynamics is a Markov chain widely used by physicists to sample from the BoltzmannGibbs distribution of the Ising model. Cooper, Dyer, Frieze and Rue proved that on the complete graph Kn the mixing time of the chain is at most O(nv) for all noncritical temperatures. In this paper we show that the mixing time is [Theta](1) in high temperatures, [Theta](logn) in low temperatures and [Theta](n1/4) at criticality. We also provide an upper bound of O(logn) for SwendsenWang dynamics for the qstate ferromagnetic Potts model on any tree of n vertices
5 editions published in 2014 in English and held by 88 WorldCat member libraries worldwide
The SwendsenWang dynamics is a Markov chain widely used by physicists to sample from the BoltzmannGibbs distribution of the Ising model. Cooper, Dyer, Frieze and Rue proved that on the complete graph Kn the mixing time of the chain is at most O(nv) for all noncritical temperatures. In this paper we show that the mixing time is [Theta](1) in high temperatures, [Theta](logn) in low temperatures and [Theta](n1/4) at criticality. We also provide an upper bound of O(logn) for SwendsenWang dynamics for the qstate ferromagnetic Potts model on any tree of n vertices
Zeros of Gaussian analytic functions and determinantal point processes(
Book
)
1 edition published in 2009 in English and held by 8 WorldCat member libraries worldwide
"The book examines in some depth two important classes of point processes, determinantal processes and "Gaussian zeros", i.e., zeros of random analytic functions with Gaussian coefficients. These processes share a property of "pointrepulsion", where distinct points are less likely to fall close to each other than in processes, such as the Poisson process, that arise from independent sampling. Nevertheless, the treatment in the book emphasizes the use of independence: for random power series, the independence of coefficients is key; for determinantal processes, the number of points in a domain is a sum of independent indicators, and this yields a satisfying explanation of the central limit theorem (CLT) for this point count. Another unifying theme of the book is invariance of considered point processes under natural transformation groups. The book strives for balance between general theory and concrete examples. On the one hand, it presents a primer on modern techniques on the interface of probability and analysis. On the other hand, a wealth of determinantal processes of intrinsic interest are analyzed; these arise from random spanning trees and eigenvalues of random matrices, as well as from special power series with determinantal zeros. The material in the book formed the basis of a graduate course given at the IASPark City Summer School in 2007; the only background knowledge assumed can be acquired in firstyear graduate courses in analysis and probability."Publisher's website
1 edition published in 2009 in English and held by 8 WorldCat member libraries worldwide
"The book examines in some depth two important classes of point processes, determinantal processes and "Gaussian zeros", i.e., zeros of random analytic functions with Gaussian coefficients. These processes share a property of "pointrepulsion", where distinct points are less likely to fall close to each other than in processes, such as the Poisson process, that arise from independent sampling. Nevertheless, the treatment in the book emphasizes the use of independence: for random power series, the independence of coefficients is key; for determinantal processes, the number of points in a domain is a sum of independent indicators, and this yields a satisfying explanation of the central limit theorem (CLT) for this point count. Another unifying theme of the book is invariance of considered point processes under natural transformation groups. The book strives for balance between general theory and concrete examples. On the one hand, it presents a primer on modern techniques on the interface of probability and analysis. On the other hand, a wealth of determinantal processes of intrinsic interest are analyzed; these arise from random spanning trees and eigenvalues of random matrices, as well as from special power series with determinantal zeros. The material in the book formed the basis of a graduate course given at the IASPark City Summer School in 2007; the only background knowledge assumed can be acquired in firstyear graduate courses in analysis and probability."Publisher's website
Dapim bodedim mefitisim or ʻal ḳorot hayishuv beE.Y. bameʼah hashishit (501597) by
Isaac Rivkind(
Book
)
3 editions published in 1928 in Hebrew and held by 5 WorldCat member libraries worldwide
3 editions published in 1928 in Hebrew and held by 5 WorldCat member libraries worldwide
The number of infinite clusters in dynamical percolation by
Y Peres(
Book
)
3 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
Dynamical percolation by
Olle Häggström(
Book
)
3 editions published in 1995 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1995 in English and held by 4 WorldCat member libraries worldwide
Probability on trees and networks by
Russell Lyons(
Book
)
2 editions published between 2000 and 2016 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 2000 and 2016 in English and held by 3 WorldCat member libraries worldwide
Brownian motion : fluctuations, dynamics, and applications by
Robert M Mazo(
Book
)
1 edition published in 2010 in English and held by 3 WorldCat member libraries worldwide
Brownian motion is the incessant motion of small particles immersed in an ambient medium. It is due to fluctuations in the motion of the medium particles on the molecular scale. The name has been carried over to other fluctuation phenomena. This book treats the physical theory of Brownian motion. The extensive mathematical theory, which treats the subject as a subfield of the general theory of random processes, is touched on but not presented in any detail. Random or stochastic process theory and statistical mechanics are the primary tools. The first eight chapters treat the stochastic theory and some applications. The next six present the statistical mechanical point of view. Then follows chapters on applications to diffusion, noise, and polymers, followed by a treatment of the motion of interacting Brownian particles. The book ends with a final chapter treating simulation, fractals, and chaos
1 edition published in 2010 in English and held by 3 WorldCat member libraries worldwide
Brownian motion is the incessant motion of small particles immersed in an ambient medium. It is due to fluctuations in the motion of the medium particles on the molecular scale. The name has been carried over to other fluctuation phenomena. This book treats the physical theory of Brownian motion. The extensive mathematical theory, which treats the subject as a subfield of the general theory of random processes, is touched on but not presented in any detail. Random or stochastic process theory and statistical mechanics are the primary tools. The first eight chapters treat the stochastic theory and some applications. The next six present the statistical mechanical point of view. Then follows chapters on applications to diffusion, noise, and polymers, followed by a treatment of the motion of interacting Brownian particles. The book ends with a final chapter treating simulation, fractals, and chaos
Martin capacity for Markov chains and random walks in varying dimensions by
Itai Benjamini(
Book
)
2 editions published between 1993 and 1994 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1993 and 1994 in English and held by 3 WorldCat member libraries worldwide
Yerushalayim haYehudit lifene sheloshmeʼot shanah by
David Yellin(
Book
)
1 edition published in 1928 in Hebrew and held by 2 WorldCat member libraries worldwide
1 edition published in 1928 in Hebrew and held by 2 WorldCat member libraries worldwide
When does a branching process grow like its mean? Conceptual proofs of L log L criteria by
University of Minnesota(
Book
)
2 editions published between 1993 and 1994 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1993 and 1994 in English and held by 2 WorldCat member libraries worldwide
GaltonWatson trees with the same mean have the same polar sets by
University of Minnesota(
Book
)
2 editions published between 1993 and 1994 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1993 and 1994 in English and held by 2 WorldCat member libraries worldwide
Leviḳoret igrot Yerushalmiyot min hameʼah ha15 ṿeha16 by Y Praṿer(
Book
)
1 edition published in 1948 in Hebrew and held by 2 WorldCat member libraries worldwide
1 edition published in 1948 in Hebrew and held by 2 WorldCat member libraries worldwide
Percolation on transitive graphs as a coalescent process : relentless merging followed by simultaneous uniqueness by
Olle Häggström(
Book
)
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
Letoldot yisud bethasefer "Lemel" biYerushalayim by
N. M Gelber(
Book
)
1 edition published in 1948 in Hebrew and held by 2 WorldCat member libraries worldwide
1 edition published in 1948 in Hebrew and held by 2 WorldCat member libraries worldwide
Hitting times for random walks with restarts by
Svante Janson(
Book
)
2 editions published in 2010 in English and held by 1 WorldCat member library worldwide
2 editions published in 2010 in English and held by 1 WorldCat member library worldwide
Lectures on probability theory and statistics : Ecole d'Eté de Probabilités de SaintFlour XXXII2002 by
Boris Tsirelson(
)
1 edition published in 1999 in English and held by 0 WorldCat member libraries worldwide
Part I, Bertoin, J.: Subordinators: Examples and Applications: Foreword. Elements on subordinators. Regenerative property. Asymptotic behaviour of last passage times. Rates of growth of local time. Geometric properties of regenerative sets. Burgers equation with Brownian initial velocity. Random covering. Lévy processes. Occupation times of a linear Brownian motion. Part II, Martinelli, F.: Lectures on Glauber Dynamics for Discrete Spin Models: Introduction. Gibbs Measures of Lattice Spin Models. The Glauber Dynamics. One Phase Region. Boundary Phase Transitions. Phase Coexistence. Glauber Dynamics for the Dilute Ising Model. Part III, Peres, Yu.: Probability on Trees: An Introductory Climb: Preface. Basic Definitions and a Few Highlights. GaltonWatson Trees. General percolation on a connected graph. The firstMoment method. Quasiindependent Percolation. The second Moment Method. Electrical Networks. Infinite Networks. The Method of Random Paths. Transience of Percolation Clusters. Subperiodic Trees. The Random Walks RW (lambda) . Capacity.. IntersectionEquivalence. Reconstruction for the Ising Model on a Tree,  Unpredictable Paths in Z and EIT in Z3. TreeIndexed Processes. Recurrence for TreeIndexed Markov Chains. Dynamical Pecsolation. Stochastic Domination Between Trees
1 edition published in 1999 in English and held by 0 WorldCat member libraries worldwide
Part I, Bertoin, J.: Subordinators: Examples and Applications: Foreword. Elements on subordinators. Regenerative property. Asymptotic behaviour of last passage times. Rates of growth of local time. Geometric properties of regenerative sets. Burgers equation with Brownian initial velocity. Random covering. Lévy processes. Occupation times of a linear Brownian motion. Part II, Martinelli, F.: Lectures on Glauber Dynamics for Discrete Spin Models: Introduction. Gibbs Measures of Lattice Spin Models. The Glauber Dynamics. One Phase Region. Boundary Phase Transitions. Phase Coexistence. Glauber Dynamics for the Dilute Ising Model. Part III, Peres, Yu.: Probability on Trees: An Introductory Climb: Preface. Basic Definitions and a Few Highlights. GaltonWatson Trees. General percolation on a connected graph. The firstMoment method. Quasiindependent Percolation. The second Moment Method. Electrical Networks. Infinite Networks. The Method of Random Paths. Transience of Percolation Clusters. Subperiodic Trees. The Random Walks RW (lambda) . Capacity.. IntersectionEquivalence. Reconstruction for the Ising Model on a Tree,  Unpredictable Paths in Z and EIT in Z3. TreeIndexed Processes. Recurrence for TreeIndexed Markov Chains. Dynamical Pecsolation. Stochastic Domination Between Trees
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Related Identities
 Bertoin, Jean Other Author Creator
 Bernard, P. (Pierre) 1944 Editor
 Levin, David Asher 1971 Author
 Wilmer, Elizabeth L. (Elizabeth Lee) 1970
 Martinelli, F. (Fabio)
 Mörters, Peter Author
 Werner, Wendelin 1968
 Schramm, Oded
 Nachmias, Asaf
 Long, Yun 1982 Author
Useful Links
Associated Subjects
Analytic functions Brownian motion processes Differential equations, Partial Dissertations, Academic Distribution (Probability theory) Finance Gaussian processes GeneticsMathematics Global analysis (Mathematics) Global differential geometry Ising model Jews Lattice theory Lévy processes Luncz, Abraham Moses, Markov processes Mathematical physics Mathematical statistics Mathematics Middle EastJerusalem Middle EastPalestine Physics Point processes Polynomials Population geneticsMathematical models Population geneticsStatistical methods Potential theory (Mathematics) Probabilities Random walks (Mathematics) Rotational motion Science Spin wavesMathematical models Statistical physics Statistics Stochastic processes Trees (Graph theory)