Kesten, Harry 1931
Overview
Works:  74 works in 206 publications in 3 languages and 2,535 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Correspondent, Dedicatee, Creator 
Classifications:  QC174.85.P45, 519.2 
Publication Timeline
.
Most widely held works by
Harry Kesten
Percolation theory for mathematicians by
Harry Kesten(
Book
)
19 editions published between 1980 and 1986 in 3 languages and held by 362 WorldCat member libraries worldwide
Quite apart from the fact that percolation theory had its orlgln in an honest applied problem (see Hammersley and Welsh (1980)), it is a source of fascinating problems of the best kind a mathematician can wish for: problems which are easy to state with a minimum of preparation, but whose solutions are (apparently) difficult and require new methods. At the same time many of the problems are of interest to or proposed by statistical physicists and not dreamt up merely to demons~te ingenuity. Progress in the field has been slow. Relatively few results have been established rigorously, despite the rapidly growing literature with variations and extensions of the basic model, conjectures, plausibility arguments and results of simulations. It is my aim to treat here some basic results with rigorous proofs. This is in the first place a research monograph, but there are few prerequisites; one term of any standard graduate course in probability should be more than enough. Much of the material is quite recent or new, and many of the proofs are still clumsy. Especially the attempt to give proofs valid for as many graphs as possible led to more complications than expected. I hope that the Applications and Examples provide justifi cation for going to this level of generality
19 editions published between 1980 and 1986 in 3 languages and held by 362 WorldCat member libraries worldwide
Quite apart from the fact that percolation theory had its orlgln in an honest applied problem (see Hammersley and Welsh (1980)), it is a source of fascinating problems of the best kind a mathematician can wish for: problems which are easy to state with a minimum of preparation, but whose solutions are (apparently) difficult and require new methods. At the same time many of the problems are of interest to or proposed by statistical physicists and not dreamt up merely to demons~te ingenuity. Progress in the field has been slow. Relatively few results have been established rigorously, despite the rapidly growing literature with variations and extensions of the basic model, conjectures, plausibility arguments and results of simulations. It is my aim to treat here some basic results with rigorous proofs. This is in the first place a research monograph, but there are few prerequisites; one term of any standard graduate course in probability should be more than enough. Much of the material is quite recent or new, and many of the proofs are still clumsy. Especially the attempt to give proofs valid for as many graphs as possible led to more complications than expected. I hope that the Applications and Examples provide justifi cation for going to this level of generality
Probability on discrete structures by
Harry Kesten(
Book
)
16 editions published between 2003 and 2011 in English and held by 290 WorldCat member libraries worldwide
Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cutoff phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability
16 editions published between 2003 and 2011 in English and held by 290 WorldCat member libraries worldwide
Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cutoff phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability
Random matrices and their applications : proceedings of the AMSIMSSIAM Joint Summer Research Conference held June 1723,
1984, with support from the National Science Foundation by AMSIMSSIAM Joint Summer Research Conference(
Book
)
12 editions published between 1986 and 1988 in English and held by 272 WorldCat member libraries worldwide
12 editions published between 1986 and 1988 in English and held by 272 WorldCat member libraries worldwide
École d'été de probabilités de Saint Flour XIV1984 by
R Carmona(
Book
)
12 editions published in 1986 in 3 languages and held by 259 WorldCat member libraries worldwide
12 editions published in 1986 in 3 languages and held by 259 WorldCat member libraries worldwide
Random walks, Brownian motion, and interacting particle systems : a festschrift in honor of Frank Spitzer by
Richard Durrett(
Book
)
13 editions published in 1991 in English and held by 258 WorldCat member libraries worldwide
This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come. Frank has always liked new phenomena, clean formulations and elegant proofs. He has created or opened up several research areas and it is not surprising that many people are still working out the consequences of his inventions. By way of introduction we have reprinted some of Frank's seminal articles so that the reader can easily see for himself the point of origin for much of the research presented here. These articles of Frank's deal with properties of Brownian motion, fluctuation theory and potential theory for random walks, and, of course, interacting particle systems. The last area was started by Frank as part of the general resurgence of treating problems of statistical mechanics with rigorous probabilistic tools
13 editions published in 1991 in English and held by 258 WorldCat member libraries worldwide
This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come. Frank has always liked new phenomena, clean formulations and elegant proofs. He has created or opened up several research areas and it is not surprising that many people are still working out the consequences of his inventions. By way of introduction we have reprinted some of Frank's seminal articles so that the reader can easily see for himself the point of origin for much of the research presented here. These articles of Frank's deal with properties of Brownian motion, fluctuation theory and potential theory for random walks, and, of course, interacting particle systems. The last area was started by Frank as part of the general resurgence of treating problems of statistical mechanics with rigorous probabilistic tools
Percolation theory and ergodic theory of infinite particle systems by
Harry Kesten(
Book
)
15 editions published in 1987 in English and Undetermined and held by 253 WorldCat member libraries worldwide
This is the eighth volume (out of a projected ten) with papers which appeared during the "Stochastic Equations and Their Applications" year (19851986) at the Institute for Mathematics and its Applications at the University of Minnesota. This volume, which is directed towards researchers in applied mathematics, engineering, and physics, contains contributions by: M. Aizeman, R. Holley, M. Bramson, D. Griffeath, D.C. Brydges, J.T. Chayes, L. Chayes, J.T. Cox, R. Durrett, R.H. Schonmann, S. Goldstein, L. Gray, J.W. Halley, R. Holley, H. Kesten, T.M. Leggett, C.M. Newman, H.E. Stanley, D. Stauffer, and J.C. Wierman
15 editions published in 1987 in English and Undetermined and held by 253 WorldCat member libraries worldwide
This is the eighth volume (out of a projected ten) with papers which appeared during the "Stochastic Equations and Their Applications" year (19851986) at the Institute for Mathematics and its Applications at the University of Minnesota. This volume, which is directed towards researchers in applied mathematics, engineering, and physics, contains contributions by: M. Aizeman, R. Holley, M. Bramson, D. Griffeath, D.C. Brydges, J.T. Chayes, L. Chayes, J.T. Cox, R. Durrett, R.H. Schonmann, S. Goldstein, L. Gray, J.W. Halley, R. Holley, H. Kesten, T.M. Leggett, C.M. Newman, H.E. Stanley, D. Stauffer, and J.C. Wierman
Perplexing problems in probability : festschrift in honor of Harry Kesten by
Maury Bramson(
Book
)
5 editions published in 1999 in English and held by 182 WorldCat member libraries worldwide
5 editions published in 1999 in English and held by 182 WorldCat member libraries worldwide
Hitting probabilities of single points for processes with stationary independent increments by
Harry Kesten(
Book
)
13 editions published in 1969 in English and held by 179 WorldCat member libraries worldwide
13 editions published in 1969 in English and held by 179 WorldCat member libraries worldwide
Percolation theory at SaintFlour by
Geoffrey Grimmett(
Book
)
8 editions published in 2012 in English and held by 36 WorldCat member libraries worldwide
8 editions published in 2012 in English and held by 36 WorldCat member libraries worldwide
Probability theory by
I︠U︡. V Prokhorov(
Book
)
4 editions published in 2004 in English and held by 6 WorldCat member libraries worldwide
4 editions published in 2004 in English and held by 6 WorldCat member libraries worldwide
Probability theory(
Book
)
3 editions published in 2004 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 2004 in English and held by 5 WorldCat member libraries worldwide
Randomly coalescing random walk in dimension [is greater than or equal to] 3 by
J.L. van den Berg(
Book
)
4 editions published in 2001 in English and held by 5 WorldCat member libraries worldwide
4 editions published in 2001 in English and held by 5 WorldCat member libraries worldwide
Random matrices and their applications : proceedings of the AMSIMSSIAM joint summer research conference; (Brunswick  Me.,
June 1723, 1984) by J. E Cohen(
Book
)
4 editions published between 1984 and 1986 in English and held by 5 WorldCat member libraries worldwide
4 editions published between 1984 and 1986 in English and held by 5 WorldCat member libraries worldwide
Asymptotic density in a coalescing random walk model by
Harry Kesten(
Book
)
2 editions published in 1998 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 4 WorldCat member libraries worldwide
A class of slippage tests : prepublication by R Doornbos(
Book
)
3 editions published in 1956 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1956 in English and held by 4 WorldCat member libraries worldwide
Symmetric random walks on groups by
Harry Kesten(
)
2 editions published in 1958 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1958 in English and held by 3 WorldCat member libraries worldwide
Making money from fair games by
Richard Durrett(
Book
)
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
Random walk on the infinite cluster of the percolation model by
G. R Grimmett(
Book
)
2 editions published in 1992 in English and held by 1 WorldCat member library worldwide
2 editions published in 1992 in English and held by 1 WorldCat member library worldwide
Percolation of arbitrary words in (01) by
Itai Benjamini(
Book
)
2 editions published in 1993 in English and held by 1 WorldCat member library worldwide
2 editions published in 1993 in English and held by 1 WorldCat member library worldwide
Probability on Discrete Structures by
AlainSol Sznitman(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Durrett, Richard 1951 Other Author Editor
 Carmona, R. (René) Author
 Hennequin, P. L. (Paul Louis) 1930 Editor
 Walsh, John B.
 Cohen, Joel E. Other Editor
 Institute of Mathematical Statistics Other
 Society for Industrial and Applied Mathematics
 American Mathematical Society
 Newman, Charles M. (Charles Michael) 1946
 Spitzer, Frank 1926
Useful Links
Associated Subjects
Brownian motion processes Combinatorial probabilities Distribution (Probability theory) Ergodic theory Group theory Markov processes Mathematical statistics Mathematics Percolation (Statistical physics) Probabilities Random graphs Random matrices Random walks (Mathematics) Schrödinger operator Spitzer, Frank, Statistical decision Statistical physics Stochastic matrices Stochastic partial differential equations Stochastic processes
Alternative Names
Harry Kesten American mathematician
Harry Kesten Amerikaans wiskundige
Harry Kesten amerikansk matematikar
Harry Kesten amerikansk matematiker
Harry Kesten matematico statunitense
Harry Kesten USamerikanischer Mathematiker
Kesten, Ch.
Kesten, H.
Kesten, H. 1931
Kesten, H. (Harry), 1931
Kesten, Harry
Languages
Covers