Random Walks, Brownian Motion, and Interacting Particle Systems: A Festschrift in Honor of Frank Spitzer / Edition 1

Random Walks, Brownian Motion, and Interacting Particle Systems: A Festschrift in Honor of Frank Spitzer / Edition 1

by H. Kesten, Harry Kesten
     
 

ISBN-10: 0817635092

ISBN-13: 9780817635091

Pub. Date: 01/26/2011

Publisher: Birkhauser Verlag

Product Details

ISBN-13:
9780817635091
Publisher:
Birkhauser Verlag
Publication date:
01/26/2011
Series:
Progress in Probability Series, #28
Edition description:
1991
Pages:
455
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

About the Cover
Frank Spitzer's Students
Preface
Contents
Bibliography
Reprints of Frank Spitzer
A combinatorial lemma and its application to probability theory3
Some theorems concerning 2-dimensional Brownian motion21
Recurrent random walk and logarithmic potential33
Electrostatic capacity, heat flow and Brownian motion53
Interaction of Markov processes66
Papers Dedicated to Frank Spitzer
A Useful Renormalization Argument113
Capture Problems for Coupled Random Walks153
Nonlinear Voter Models189
On the Long Term Behavior of Finite Particle Systems: A Critical Dimensional Example203
Large Deviation Lower Bounds for General Sequences of Random Variables215
Asymptotic Laplace-Transforms223
Higher Order Hydrodynamic Equations for a System of Independent Random Walks231
Making Money From Fair Games255
Additive Functionals of Superdiffusion Processes269
Interactive Systems, Stirrings, and Flows283
The One-Dimensional Stochastic X-Y Model295
Relations Between Solutions to a Discrete and Continuous Dirichlet Problem309
On the Connected Components of the Complement of a Two-Dimensional Brownian Path336
The periodic Threshold Contact Process339
Bounds on the Critical Exponent of Self-Avoiding Polygons359
Spitzer's Formula Involving Capacity373
An Integral Test for Subordinators389
Microcanonical Distribution, Gibbs States, and the Equivalence of Ensembles399
Power Counting Theorem in Euclidean Space425
Etude asymptotique des nombres de tours de plusieurs mouvements browniens complexes correles441

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