Large deviations and mixing for dissipative PDE's with unbounded random kicks

• Main Authors: Jaksic, Vojkan, Nersesyan, Vahagn, Pillet, Claude-Alain, Shirikyan, Armen
• Format: Journal Article
• Language: English
• Published: 22.10.2014
• Subjects: Mathematics - Analysis of PDEs; Mathematics - Mathematical Physics; Mathematics - Probability; Physics - Mathematical Physics

We study the problem of exponential mixing and large deviations for discrete-time Markov processes associated with a class of random dynamical systems. Under some dissipativity and regularisation hypotheses for the underlying deterministic dynamics and a non-degeneracy condition for the driving rand...