Titlebook: In and Out of Equilibrium; Probability with a P Vladas Sidoravicius Book 2002 Birkh?user Boston 2002 Maxima.Probability theory.Theoretical

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Thermodynamical Aspects of Classical Lattice Systems, obtained for a large class of random fields, called asymptotically decoupled measures. The connection between the existence of a large deviations principle for empirical measures and the notions of equilibrium measures and Gibbs measures is explained. As a consequence of the large deviations princi

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Approach to Fixation for Zero-Temperature Stochastic Ising Models on the Hexagonal Lattice,tate space consists of assignments of -1 or +1 to each site of ?, and the processes are zero-temperature limits of stochastic Ising ferromagnets with Glauber dynamics and a random (i.i.d. Bernoulli) spin configuration at time O. We study the speed of convergence of the configuration. .at time t to its limit. .and related issues.

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Directed Percolation and Random Walk, attainable from.and y along directed open paths. Secondly, it is proved in the supercritical case that a random walk on an infinite directed cluster is transient, almost surely, when.And finally, the block arguments of the paper may be adapted to systems with infinite range, subject to certain conditions on the edge probabilities.

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The Distribution of the Maximum of a Gaussian Process: Rice Method Revisited,stribution and becomes more efficient than other numerical methods, namely simulation of the paths or standard bounds on the tails of the distribution..We have included some relevant numerical examples to illustrate the power of the method.

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,Randomly Coalescing Random Walk in Dimension ≥3,ertain variance bound, which is needed to estimate the error terms in an approximate differential equation for .. We do this by making more refined use of coupling methods and (correlation) inequalities.