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We examine two analytical characterisation of the metastable behavior of a Markov chain. The first one expressed in terms of its transition probabilities, and the second one in terms of its large deviations rate functional. Consider a sequence of con
Externí odkaz:
http://arxiv.org/abs/2207.02588
Publikováno v:
Electron. Commun. Probab. 26, 53 (2021)
We consider the symmetric exclusion process on the $d$-dimensional lattice with translational invariant and ergodic initial data. It is then known that as $t$ diverges the distribution of the process at time $t$ converges to a Bernoulli product measu
Externí odkaz:
http://arxiv.org/abs/2101.02487
Publikováno v:
In International Journal of Fatigue March 2023 168
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We consider an irreducible continuous time Markov chain on a finite state space and with time periodic jump rates and prove the joint large deviation principle for the empirical measure and flow and the joint large deviation principle for the empiric
Externí odkaz:
http://arxiv.org/abs/1710.08001
Publikováno v:
In Procedia Structural Integrity 2022 38:447-456
Publikováno v:
J. Stat. Mech. Theory Exp. 2015, no. 10, P10018, 19 pp
In the context of driven diffusive systems, for thermodynamic transformations over a large but finite time window, we derive an expansion of the energy balance. In particular, we characterize the transformations which minimize the energy dissipation
Externí odkaz:
http://arxiv.org/abs/1506.05691
We consider a continuous time Markov chain on a countable state space. We prove a joint large deviation principle (LDP) of the empirical measure and current in the limit of large time interval. The proof is based on results on the joint large deviati
Externí odkaz:
http://arxiv.org/abs/1408.5477
Publikováno v:
In Procedia Structural Integrity 2020 28:2157-2167
Publikováno v:
Braz. J. Probab. Stat. 29 (2015), 336-371
We consider the Cahn-Hilliard equation in one space dimension, perturbed by the derivative of a space and time white noise of intensity $\epsilon^{\frac 12}$, and we investigate the effect of the noise, as $\epsilon \to 0$, on the solutions when the
Externí odkaz:
http://arxiv.org/abs/1403.1708