Title | Random Walks, Brownian Motion, and Interacting Particle Systems [electronic resource] : A Festschrift in Honor of Frank Spitzer / edited by Rick Durrett, Harry Kesten |
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Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1991 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-0459-6 |
Descript | XII, 455 p. online resource |
Reprints of Frank Spitzer -- A combinatorial lemma and its application to probability theory -- Some theorems concerning 2-dimensional Brownian motion -- Recurrent random walk and logarithmic potential -- Electrostatic capacity, heat flow and Brownian motion -- Interaction of Markov processes -- Papers Dedicated to Frank Spitzer -- A Useful Renormalization Argument -- Capture Problems for Coupled Random Walks -- Nonlinear Voter Models -- On the Long Term Behavior of Finite Particle Systems: A Critical Dimensional Example -- Large Deviation Lower Bounds for General Sequences of Random Variables -- Asymptotic Laplace-Transforms -- Higher Order Hydrodynamic Equations for a System of Independent Random Walks -- Making Money From Fair Games -- Additive Functionals of Superdiffusion Processes -- Interacting Systems, Stirrings, and Flows -- The One-Dimensional Stochastic X-Y Model -- Relations Between Solutions to a Discrete and Continuous Dirichlet Problem -- On the Connected Components of the Complement of a Two-Dimensional Brownian Path -- The periodic Threshold Contact Process -- Bounds on the Critical Exponent of Self-Avoiding Polygons -- Spitzerโ{128}{153}s Formula Involving Capacity -- An Integral Test for Subordinators -- Microcanonical Distribution, Gibbs States, and the Equivalence of Ensembles -- Power Counting Theorem in Euclidean Space -- Etude asymptotique des nombres de tours de plusieurs mouvements browniens complexes corrรฉlรฉs