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math.PR2010
Poincaré inequality for Markov random fields via disagreement percolation
J. -R. Chazottes, F. Redig, F. Völlering
We consider Markov random fields of discrete spins on the lattice $\Zd$. We use a technique of coupling of conditional distributions. If under the coupling the disagreement cluster…
math.PR2010
Concentration of Additive Functionals for Markov Processes and Applications to Interacting Particle Systems
Frank Redig, Florian Völlering
We consider additive functionals of Markov processes in continuous time with general (metric) state spaces. We derive concentration bounds for their exponential moments and moments…