Degree two ergodic theorem for divergence-free stationary random fields

DOI10.1007/S11856-006-0012-4zbMath1124.60011OpenAlexW1979666625MaRDI QIDQ877476

Jerome Depauw

Publication date: 23 April 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-006-0012-4

zbMATH Keywords

Lorentz spacemean convergencedivergence-free stationary random fieldErgodic theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General theory of random and stochastic dynamical systems (37H05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (2)

Resistivity of an infinite three dimensional stationary random electric conductor ⋮ The Brownian cocycle of degree two as white noise on the straight lines of the space.

Cites Work

• Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
• Ergodic theory and virtual groups
• On L(p,q) spaces
• The ergodic theorem for additive cocycles of ℤ^d or ℝ^d
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
• Génération des cocycles de degré \geq 2 d'une action mesurable stationnaire de \mathbb{Z}^{d}
• Higher cohomology for Abelian groups of toral automorphisms

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