Central limit theorems and moderate deviations for stochastic reaction-diffusion lattice systems

Central limit and other weak theorems (60F05) Brownian motion (60J65) Applications of stochastic analysis (to PDEs, etc.) (60H30) Large deviations (60F10) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Cites Work

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Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
Asymptotic behaviour of a logistic lattice system
Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise
Delta method in large deviations and moderate deviations for estimators
Random attractors for stochastic lattice dynamical systems in weighted spaces
Moderate deviation principles for stochastic differential equations with jumps
Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise
Large deviations for the Langevin equation with strong damping
Large deviations for stochastic tamed 3D Navier-Stokes equations
Large deviations for stochastic evolution equations with small multiplicative noise
Some threshold results for models of myelinated nerves
Traveling waves in lattice dynamical systems
Moderate deviations for randomly perturbed dynamical systems
Large deviations for a Burgers'-type SPDE
Large deviations for the two-dimensional stochastic Navier-Stokes equation with vanishing noise correlation
Moderate deviations for the Langevin equation with strong damping
Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term.
A discrete convolution model for phase transitions
Central limit theorem and moderate deviation principle for McKean-Vlasov SDEs
Limiting behavior of invariant measures of stochastic delay lattice systems
Dynamics of stochastic reaction-diffusion lattice systems driven by nonlinear noise
Attractors of non-autonomous stochastic lattice systems in weighted spaces
Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise
Moderate Deviations in Channel Coding
Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
Traveling Waves of Bistable Dynamics on a Lattice
Moderate deviations for stochastic models of two-dimensional second grade fluids
Edge of Chaos and Local Activity Domain of FitzHugh-Nagumo Equation
Moderate deviations for stochastic tidal dynamics equations with multiplicative Gaussian noise
Moderate deviation principle for the 2D stochastic convective Brinkman–Forchheimer equations
Upper semi-continuous convergence of attractors for a Hopfield-type lattice model
Asymptotic behavior of stochastic Schrödinger lattice systems driven by nonlinear noise
Moderate deviations-based importance sampling for stochastic recursive equations
Traveling waves for a lattice dynamical system arising in a diffusive endemic model
Stochastic Equations in Infinite Dimensions
Large and moderate deviation principles for McKean-Vlasov SDEs with jumps
Large deviations of fractional stochastic equations with non-Lipschitz drift and multiplicative noise on unbounded domains
Central limit type theorem and large deviation principle for multi-scale McKean-Vlasov SDEs
Asymptotic behavior of stochastic complex lattice systems driven by superlinear noise
Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems

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