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In this paper we consider heavy tailed Markov renewal processes and we prove that, suitably renormalised, they converge in law towards the -stable regenerative set. We then apply these results to the strip wetting model which is a random walk constrained above a wall and rewarded or penalized when it hits the strip where is a given positive number. The convergence result that we establish allows to characterize the scaling limit of this process at criticality.
We shall consider the Schrödinger operators on with the magnetic field given by a nonnegative constant field plus random magnetic fields of the Anderson type or of the Poisson-Anderson type. We shall investigate the spectrum of these operators by the method of the admissible potentials by Kirsch-Martinelli. Moreover, we shall prove the lower Landau levels are infinitely degenerated eigenvalues when the constant field is sufficiently large, by estimating the growth order of the eigenfunctions...
We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
The purpose of the present article is to compare different phase-space
sampling methods,
such as purely stochastic methods (Rejection method, Metropolized
independence sampler, Importance Sampling),
stochastically perturbed Molecular Dynamics methods
(Hybrid Monte Carlo, Langevin Dynamics, Biased Random Walk), and purely
deterministic methods (Nosé-Hoover chains, Nosé-Poincaré and Recursive
Multiple Thermostats (RMT) methods). After recalling
some theoretical convergence properties for
the...
A computer-aided method for accurately carrying out the Chapman-Enskog expansion of the Boltzmann equation, including its inelastic variant, is presented and employed to derive a hydrodynamic description of a dilute binary mixture of smooth inelastic spheres. Constitutive relations, formally valid for all physical values of the coefficients of restitution, are calculated by carrying out the pertinent Chapman-Enskog expansion to sufficient high orders in the Sonine polynomials to ensure numerical...
We review the appearance of the braid group in statistical physics. In particular, we explain its relevance to the anyon model of fractional statistics and conformal field theory.
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