Quantitative ergodicity for the symmetric exclusion process with stationary initial data

Autor: Nicoletta Cancrini, Gustavo Posta, Lorenzo Bertini

We consider the symmetric exclusion process on the d-dimensional lattice with initial data invariant with respect to space shifts and ergodic. It is then known that as t diverges the distribution of the process at time t converges to a Bernoulli prod

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb5fb77903d8a70636d31a7d5be60be5

Ensemble Dependence of Fluctuations: Canonical Microcanonical Equivalence of Ensembles: Ensemble dependence of fluctuations

Autor: Stefano Olla, Nicoletta Cancrini

Publikováno v: Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2017, 168 (4), pp.707-730. ⟨10.1007/s10955-017-1830-y⟩

International audience; We study the equivalence of microcanonical and canonical ensembles in continuous systems, in the sense of the convergence of the corresponding Gibbs measures and the first order corrections. We are particularly interested in e

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56a52e1f5124b14e092e88dd2ca6c8c7
https://doi.org/10.1007/s10955-017-1830-y

Mixing time of a kinetically constrained spin model on trees: power law scaling at criticality

Autor: Cyril Roberto, Nicoletta Cancrini, Cristina Toninelli, Fabio Martinelli

Publikováno v: Probability Theory and Related Fields
Probability Theory and Related Fields, 2015, 161 (1-2), pp.247-266. ⟨10.1007/s00440-014-0548-x⟩
Probability Theory and Related Fields, Springer Verlag, 2015, 161 (1-2), pp.247-266. ⟨10.1007/s00440-014-0548-x⟩
Probability Theory and Related Fields, Springer Verlag, 2015, 161 (1-2), pp.247-266

On the rooted \(k\)-ary tree we consider a \(0\)-\(1\) kinetically constrained spin model in which the occupancy variable at each node is re-sampled with rate one from the Bernoulli(p) measure iff all its children are vacant. For this process the fol

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acd8b7da39e690edb4a9e181856e39ce
https://doi.org/10.1007/s00440-014-0548-x

The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited

Autor: Cyril Roberto, Fabio Martinelli, Nicoletta Cancrini

Publikováno v: Annales de l'Institut Henri Poincare (B) Probability and Statistics. 38:385-436

We consider a conservative stochastic spin exchange dynamics reversible with respect to the canonical Gibbs measure of a lattice gas model. We assume that the corresponding grand canonical measure satisfies a suitable strong mixing condition. Followi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e5ef0cd293a899be61616e43dd1d983
https://doi.org/10.1016/s0246-0203(01)01096-2

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Autor: Nicoletta Cancrini, Filippo Cesi, Fabio Martinelli

Publikováno v: Journal of Statistical Physics. 95:215-271

In this paper we analyze the convergence to equilibrium of Kawasaki dynamics for the Ising model in the phase coexistence region. First we show, in strict analogy with the nonconservative case, that in any lattice dimension, for any boundary conditio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::626cc4fc65da869850d0a20c9ecab204
https://doi.org/10.1023/a:1004581512343