Titlebook: Probability and Phase Transition; Geoffrey Grimmett Book 1994 Springer Science+Business Media Dordrecht 1994 Markov chain.Probability theo

处理

Shocks in one-Dimensional Processes with Drift,e the asymmetric simple exclusion, the zero range and the ‘misanthropes’ processes. The microscopic shock is identified by asecond class particle’ initially located at the origin. Second class particles also describe the behavior of the characteristics of the macroscopic equation related to the corr

spondylosis

foliage

Ambulatory

Long Time Tails in Physics and Mathematics,sity, momentum, energy) in a system of interacting particles. This paper discusses long time tails for the velocity autocorrelation function of a tagged particle. After an expository introduction we describe various theories from physics and mathematics explaining this phenomenon.

Palpate

Multiscale Analysis in Disordered Systems: Percolation and contact process in a Random Environment,ticle we illustrate the use of a multiscale analysis by applying it to a very simple model: percolation in a random environment. We also describe the application of this technique to continuous time percolation and contact processes in random environments.

诱骗

Random Walks, Harmonic Measure, and Laplacian Growth Models, random walks. The more difficult problems involve understanding the nature of harmonic measure at points on fractal-like sets. We will describe a number of these problems in this paper — intersectionprobabilities of random walks; random walks grown using harmonic measure (loop-erased or Laplacian r

仇恨

Survival and Coexistence in Interacting Particle Systems,r contact like processes. Comparison techniques are described which can be combined with these survival results to determine exactly which threshold voter models coexist. The paper ends with a bibliography of most of the papers written about interacting particle systems since the author’s book on th

生气地

Constructive Methods in Markov Chain Theory,parameter, of the stationary probabilities of families of such chains. All criteria are closely connected with the well known criterion of Foster for the ergodicity of Markov chains and are given in terms of semimartingales. A complete classification is obtained for the random walks in ℤ.. The zero

ULCER

Disordered Ising Systems and Random Cluster Representations,be ferromagnetic. In the ferromagnetic case, the close connections between FK percolation and Ising spontaneous magnetization and the availability of comparison inequalities to independent percolation have been applied to certain disordered systems, such as dilute Ising ferromagnets and quantum Isin

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