Relaxation in infinite spin systems

Hermann Rost

Displaying similar documents to “Relaxation in infinite spin systems”

Characterization of equilibrium measures for critical reversible Nearest Particle Systems

Thomas Mountford, Li Wu (2008)

Open Mathematics

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We show that for critical reversible attractive Nearest Particle Systems all equilibrium measures are convex combinations of the upper invariant equilibrium measure and the point mass at all zeros, provided the underlying renewal sequence possesses moments of order strictly greater than $\frac{7 + \sqrt{41}}{2}$ and obeys some natural regularity conditions.

A criterium for the strict positivity of the density of the law of a Poisson process.

Léandre, Rémi (2011)

Advances in Difference Equations [electronic only]

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On the existence of a dual semigroup

Sergei E. Kuznetsov (1992)

Séminaire de probabilités de Strasbourg

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Two footnotes to a theorem of Ray

John B. Walsh (1971)

Séminaire de probabilités de Strasbourg

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On invariant measures of nonlinear Markov processes.

Ahmed, N.U., Ding, Xinhong (1993)

Journal of Applied Mathematics and Stochastic Analysis

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Branching and interacting particle systems. Approximations of Feynman-Kac formulae with applications to non-linear filtering

Pierre Del Moral, Laurent Miclo (2000)

Séminaire de probabilités de Strasbourg

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State classification for a class of interacting superprocesses with location dependent branching.

Wang, Hao (2002)

Electronic Communications in Probability [electronic only]

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Quasi stationary distributions and Fleming-Viot processes in countable spaces.

Ferrari, Pablo A., Marić, Nevena (2007)

Electronic Journal of Probability [electronic only]

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Particle approximations of Lyapunov exponents connected to Schrödinger operators and Feynman–Kac semigroups

Pierre Del Moral, L. Miclo (2003)

ESAIM: Probability and Statistics

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We present an interacting particle system methodology for the numerical solving of the Lyapunov exponent of Feynman–Kac semigroups and for estimating the principal eigenvalue of Schrödinger generators. The continuous or discrete time models studied in this work consists of $N$ interacting particles evolving in an environment with soft obstacles related to a potential function $V$ . These models are related to genetic algorithms and Moran type particle schemes. Their choice is not unique....

Infinite system of Brownian balls with interaction: the non-reversible case

Myriam Fradon, Sylvie Rœlly (2007)

ESAIM: Probability and Statistics

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We consider an infinite system of hard balls in $^{d}$ undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite-dimensional stochastic differential equation with an infinite-dimensional local time term. Existence and uniqueness of a strong solution is proven for such an equation with fixed deterministic initial condition. We also show that Gibbs measures are reversible measures.