On subadditive theorems for group actions and homogenization

DOI10.1016/J.BULSCI.2019.102821zbMath1431.28018OpenAlexW2985120657WikidataQ126864799 ScholiaQ126864799MaRDI QIDQ2287839

Jean-Philippe Mandallena, Omar Anza Hafsa

Publication date: 21 January 2020

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2019.102821

zbMATH Keywords

homogenizationamenable groupCheeger-Sobolev spacesubadditive theorem

Mathematics Subject Classification ID

Homogeneous spaces (22F30) General groups of measure-preserving transformations (28D15) General groups of measure-preserving transformations and dynamical systems (37A15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global-local subadditive ergodic theorems and application to homogenization in elasticity.
• Ergodic theorems. With a supplement by Antoine Brunel
• Nonlinear stochastic homogenization
• Entropy and isomorphism theorems for actions of amenable groups
• Subadditive ergodic theory
• Multiparameter subadditive processes
• Quasiconformal maps in metric spaces with controlled geometry
• Differentiability of Lipschitz functions on metric measure spaces
• An introduction to \(\Gamma\)-convergence
• Axiomatic theory of Sobolev spaces
• Pointwise theorems for amenable groups.
• A differentiable structure for metric measure spaces
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Randomized multivariate central limit theorems for ergodic homogeneous random fields
• Sub-additive ergodic theorems for countable amenable groups
• \( \Gamma \)-convergence and homogenisation for a class of degenerate functionals
• \(\Gamma\)-convergence of nonconvex integrals in Cheeger-Sobolev spaces and homogenization
• Stochastic homogenization of nonconvex unbounded integral functionals with convex growth
• Nonsmooth calculus
• Ergodic theorems for superadditive processes.
• Ergodic theorems for spatial processes
• Ergodic theorems for subadditive spatial processes
• Liouville theorems for harmonic sections and applications
• Proof of the Ergodic Theorem
• Proof of the Quasi-Ergodic Hypothesis
• Pointwise theorems for amenable groups
• Stochastic homogenization of nonconvex integral functionals
• Sobolev Spaces on Metric Measure Spaces
• Local entropy theory of a random dynamical system
• A general ergodic theorem

This page was built for publication: On subadditive theorems for group actions and homogenization