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

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Editorial Reviews

A festschrift in honor of Frank Spitzer, whose contributions have been seminal on the basic properties of Brownian motion, fluctuation theory, random walks and interacting particle systems. Five of Spitzer's papers are reprinted along with contributions from colleagues and students. About one-third of the contributed papers are on treating problems of statistical mechanics with rigorous probabilistic tools, a hot area generating fruitful interaction between statistical physicists and probabilists. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780817635091
  • Publisher: Birkhauser Verlag
  • Publication date: 1/26/2011
  • Series: Progress in Probability Series, #28
  • Edition description: 1991
  • Edition number: 1
  • Pages: 472
  • Product dimensions: 1.00 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

About the Cover
Frank Spitzer's Students
Reprints of Frank Spitzer
A combinatorial lemma and its application to probability theory 3
Some theorems concerning 2-dimensional Brownian motion 21
Recurrent random walk and logarithmic potential 33
Electrostatic capacity, heat flow and Brownian motion 53
Interaction of Markov processes 66
Papers Dedicated to Frank Spitzer
A Useful Renormalization Argument 113
Capture Problems for Coupled Random Walks 153
Nonlinear Voter Models 189
On the Long Term Behavior of Finite Particle Systems: A Critical Dimensional Example 203
Large Deviation Lower Bounds for General Sequences of Random Variables 215
Asymptotic Laplace-Transforms 223
Higher Order Hydrodynamic Equations for a System of Independent Random Walks 231
Making Money From Fair Games 255
Additive Functionals of Superdiffusion Processes 269
Interactive Systems, Stirrings, and Flows 283
The One-Dimensional Stochastic X-Y Model 295
Relations Between Solutions to a Discrete and Continuous Dirichlet Problem 309
On the Connected Components of the Complement of a Two-Dimensional Brownian Path 336
The periodic Threshold Contact Process 339
Bounds on the Critical Exponent of Self-Avoiding Polygons 359
Spitzer's Formula Involving Capacity 373
An Integral Test for Subordinators 389
Microcanonical Distribution, Gibbs States, and the Equivalence of Ensembles 399
Power Counting Theorem in Euclidean Space 425
Etude asymptotique des nombres de tours de plusieurs mouvements browniens complexes correles 441
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