4 citations · 7 across the 6 of their papers we have counts for
6 papers
Multiplicative ergodic theorem for a non-irreducible random dynamical system
Davit Martirosyan, Vahagn Nersesyan
We study the asymptotic properties of the trajectories of a discrete-time random dynamical system in an infinite-dimensional Hilbert space. Under some natural assumptions on the mo…
Large deviations for invariant measures of white-forced 2D Navier-Stokes equation
Davit Martirosyan
The paper is devoted to studying the asymptotics of the family of stationary measures of the Markov process generated by the flow of stochastic 2D Navier-Stokes e…
Mixing and large deviations for nonlinear wave equation with white noise
Davit Martirosyan
This thesis is devoted to the study of ergodicity and large deviations for the stochastic nonlinear wave (NLW) equation with smooth white noise in 3D. Under some standard growth an…
Local large deviations principle for occupation measures of the damped nonlinear wave equation perturbed by a white noise
Davit Martirosyan, Vahagn Nersesyan
We consider the damped nonlinear wave (NLW) equation driven by a spatially regular white noise. Assuming that the noise is non-degenerate in all Fourier modes, we establish a large…
Large deviations for stationary measures of stochastic nonlinear wave equation with smooth white noise
Davit Martirosyan
We prove the Freidlin-Wentzell type large deviations principle for the family of stationary measures of stochastic nonlinear wave (NLW) equation with white noise. We do not assume…
Exponential mixing for the white - forced damped nonlinear wave equation
Davit Martirosyan
The paper is devoted to studying the stochastic nonlinear wave (NLW) equation in a bounded domain D R3. We show that the Markov process associated with the flow of soluti…