Lyapunov exponents and synchronisation by noise for systems of SPDEs
DOI10.1214/24-AOP1690MaRDI QIDQ6618734
Pavlos Tsatsoulis, Benjamn Gess
Publication date: 15 October 2024
Published in: The Annals of Probability (Search for Journal in Brave)
Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Stability theory for random and stochastic dynamical systems (37H30)
Cites Work
- Title not available (Why is that?)
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- Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers law and beyond
- An Eyring-Kramers law for the stochastic Allen-Cahn equation in dimension two
- Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations
- Weak synchronization for isotropic flows
- Small random perturbations of finite- and infinite-dimensional dynamical systems: Unpredictability of exit times
- Asymptotic analysis of Gaussian integrals. II: Manifold of minimum points
- Invariant measure of duplicated diffusions and application to Richardson-Romberg extrapolation
- Compact sets in the space \(L^ p(0,T;B)\)
- Small random perturbations of dynamical systems: Exponential loss of memory of the initial condition
- Characteristic exponents and invariant manifolds in Hilbert space
- Additive noise destroys a pitchfork bifurcation
- Hausdorff dimension of a random invariant set
- Monotone random systems theory and applications
- Regularization by noise for stochastic Hamilton-Jacobi equations
- Time dependent critical fluctuations of a one dimensional local mean field model
- Random attractors for degenerate stochastic partial differential equations
- Langevin dynamic for the 2D Yang-Mills measure
- Large \(N\) limit of the \(O(N)\) linear sigma model via stochastic quantization
- Synchronisation of almost all trajectories of a random dynamical system
- Exponential loss of memory for the 2-dimensional Allen-Cahn equation with small noise
- Couplings via comparison principle and exponential ergodicity of SPDEs in the hypoelliptic setting
- On the approaching time towards the attractor of differential equations perturbed by small noise
- Synchronization by noise
- Synchronization by noise for order-preserving random dynamical systems
- Collapse of attractors for ODEs under small random perturbations
- Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations
- Modulation equations: Stochastic bifurcation in large domains
- Random attractors for singular stochastic evolution equations
- Minimal submanifolds from the abelian Higgs model
- Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes
- Constructive quantum field theory
- Additive noise destroys the random attractor close to bifurcation
- Convergence of the Two-Dimensional Dynamic Ising-Kac Model to Φ24
- On the structure of attractors and invariant measures for a class of monotone random systems
- Necessary and sufficient conditions for stable synchronization in random dynamical systems
- Flows of stochastic dynamical systems: ergodic theory
- The effect of noise on the Chafee-Infante equation: A nonlinear case study
- Stabilization of Linear Systems by Noise
- Asymptotic Analysis of Gaussian Integrals. I. Isolated Minimum Points
- Large fluctuations for a nonlinear heat equation with noise
- Order-preserving random dynamical systems: equilibria, attractors, applications
- Noise dependent synchronization of a degenerate SDE
- Dynamical Fluctuations at the Critical Point: Convergence to a Nonlinear Stochastic PDE
- Small random perturbation of dynamical systems: recursive multiscale analysis
- Ergodicity for Infinite Dimensional Systems
- Synchronization for KPZ
- Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3
- Expansion of the global error for numerical schemes solving stochastic differential equations
- On the pitchfork bifurcation for the Chafee-Infante equation with additive noise
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