Homogenization of dissipative Hamiltonian systems under Lévy fluctuations
DOI10.1007/s00332-022-09872-zOpenAlexW3163629276MaRDI QIDQ2105226
Li Lv, Zi-bo Wang, Jin-qiao Duan
Publication date: 8 December 2022
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.07349
homogenizationHamiltonian systemsnon-Gaussian Lévy noiseeffective reductionnoise-induced driftsmall mass limit
Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Hamilton's equations (70H05) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10)
Cites Work
- Small mass limit of a Langevin equation on a manifold
- Some remarks on the Smoluchowski-Kramers approximation
- Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients
- Weak limit theorems for stochastic integrals and stochastic differential equations
- Homogenization of dissipative, noisy, Hamiltonian dynamics
- Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems.
- The Smoluchowski-Kramers limit of stochastic differential equations with arbitrary state-dependent friction
- Homogenization for generalized Langevin equations with applications to anomalous diffusion
- Hamiltonian systems with Lévy noise: symplecticity, Hamilton's principle and averaging principle
- On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom
- Linear response theory for nonlinear stochastic differential equations with \(\alpha\)-stable Lévy noises
- A Homogenization Theorem for Langevin Systems with an Application to Hamiltonian Dynamics
- Lévy Processes and Stochastic Calculus
- Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes
- Multiscale Methods
- Brownian motion in a field of force and the diffusion model of chemical reactions
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