Random Walks, Brownian Motion, and Interacting Particle Systems

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.- Spitzer’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 corrélés.