A Sobolev Inequality and the Individual Invariance Principle for Diffusions in a Periodic Potential

DOI10.1137/130949683zbMath1333.60169arXiv1312.4817OpenAlexW1853253666MaRDI QIDQ5254877

Moustapha Ba, Pierre Mathieu

Publication date: 10 June 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4817

zbMATH Keywords

Brownian motionhomogenizationinvariance principlediffusionsperiodic potentialSobolev inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Brownian motion (60J65) Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Functional limit theorems; invariance principles (60F17) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

Quenched invariance principle for random walks among random degenerate conductances ⋮ Off-diagonal heat kernel estimates for symmetric diffusions in a degenerate ergodic environment ⋮ Stochastic Homogenization of Nonconvex Discrete Energies with Degenerate Growth ⋮ Quenched invariance principle for a class of random conductance models with long-range jumps ⋮ Invariance principle for the random conductance model in a degenerate ergodic environment

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