Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit.
Rate of convergence of the Swendsen-Wang dynamics in image segmentation problems : a theoretical and experimental study
Rate of convergence of the Swendsen-Wang dynamics in image segmentation problems: a theoretical and experimental study
We study in this paper the convergence rate of the Swendsen-Wang dynamics towards its equilibrium law, when the energy belongs to a large family of energies used in image segmentation problems. We compute the exponential equivalents of the transitions which control the process at low temperature, as well as the critical constant which gives its convergence rate. We give some theoretical tools to compare this dynamics with Metropolis, and develop an experimental study in order to calibrate...
Regularity and approximability of the solutions to the chemical master equation
The chemical master equation is a fundamental equation in chemical kinetics. It underlies the classical reaction-rate equations and takes stochastic effects into account. In this paper we give a simple argument showing that the solutions of a large class of chemical master equations are bounded in weighted ℓ1-spaces and possess high-order moments. This class includes all equations in which no reactions between two or more already present molecules and further external reactants occur that add mass...
Relative entropy and waiting times for continuous-time Markov processes.