A Strong Averaging Principle for Lévy Diffusions in Foliated Spaces with Unbounded Leaves

DOI10.1007/978-3-319-96755-4_16zbMath1416.35028arXiv1802.01456OpenAlexW2786947539MaRDI QIDQ5223402

Paulo Henrique P. da Costa, Paulo R. Ruffino, Michael A. Högele

Publication date: 18 July 2019

Published in: Understanding Complex Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01456

zbMATH Keywords

Gronwall-Bihari type estimatetransversal Lévy type perturbation

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An averaging principle for diffusions in foliated spaces
• Averaging along foliated Lévy diffusions
• Foliations, the ergodic theorem and Brownian motion
• An averaging principle for stochastic dynamical systems with Lévy noise
• The imbedding problem for Riemannian manifolds
• Exponential ergodicity of the solutions to SDE's with a jump noise
• The speed of convergence in the ergodic theorem
• Foliations on Riemannian manifolds
• On the speed of convergence in the ergodic theorem
• Inequalities for differential and integral equations
• Stratonovich stochastic differential equations driven by general semimartingales
• Strong averaging along foliated Lévy diffusions with heavy tails on compact leaves
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Rigorous stochastic averaging at a center with additive noise
• On averaging principle for diffusion processes with null-recurrent fast component.
• Fast oscillating random perturbations of dynamical systems with conservation laws
• A Khasminskii type averaging principle for stochastic reaction-diffusion equations
• Stochastic averaging with a flattened Hamiltonian: A Markov process on a stratified space (a whiskered sphere)
• Lévy Processes and Stochastic Calculus
• An averaging principle for a completely integrable stochastic Hamiltonian system
• Averaging methods in nonlinear dynamical systems
• Lectures on symplectic geometry

This page was built for publication: A Strong Averaging Principle for Lévy Diffusions in Foliated Spaces with Unbounded Leaves