Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3
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Publication:5133919
DOI10.1142/S0219493720400067zbMath1454.60093arXiv1910.07769OpenAlexW3088933567MaRDI QIDQ5133919
Pavlos Tsatsoulis, Benjamin Gess
Publication date: 11 November 2020
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.07769
stochastic Allen-Cahn equationcoming down from infinitystochastic quantization equationsynchronization by noise
Reaction-diffusion equations (35K57) Ergodicity, mixing, rates of mixing (37A25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (2)
On the pitchfork bifurcation for the Chafee-Infante equation with additive noise ⋮ Bifurcation Theory for SPDEs: Finite-time Lyapunov Exponents and Amplitude Equations
Cites Work
- Unnamed Item
- A theory of regularity structures
- Weak synchronization for isotropic flows
- Small random perturbations of dynamical systems: Exponential loss of memory of the initial condition
- Strong solutions to the stochastic quantization equations.
- Monotone random systems theory and applications
- Spectral gap for the stochastic quantization equation on the 2-dimensional torus
- The dynamic \({\Phi^4_3}\) model comes down from infinity
- Quasilinear SPDEs via rough paths
- Random attractors for degenerate stochastic partial differential equations
- Synchronization in minimal iterated function systems on compact manifolds
- Exponential loss of memory for the 2-dimensional Allen-Cahn equation with small noise
- Synchronization by noise
- Synchronization by noise for order-preserving random dynamical systems
- Collapse of attractors for ODEs under small random perturbations
- Random attractors for singular stochastic evolution equations
- Random minimality and continuity of invariant graphs in random dynamical systems
- Fourier Analysis and Nonlinear Partial Differential Equations
- 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
- The effect of noise on the Chafee-Infante equation: A nonlinear case study
- Synchronization of a Stochastic Reaction‐Diffusion System on a Thin Two‐Layer Domain
- Stabilization of Linear Systems by Noise
- Order-preserving random dynamical systems: equilibria, attractors, applications
- Small random perturbation of dynamical systems: recursive multiscale analysis
- Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise
- Master-slave synchronization and invariant manifolds for coupled stochastic systems
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