Uniform pointwise ergodic theorems for classes of averaging sets and multiparameter subadditive processes

DOI10.1016/0304-4149(87)90182-7zbMath0642.60020OpenAlexW2009282614MaRDI QIDQ1101767

Ronald Pyke, Ulrich Krengel

Publication date: 1987

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(87)90182-7

zbMATH Keywords

strong law of large numbersergodic theorymultiparameter subadditive processes

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (14)

Multidimensional random subshifts of finite type and their large deviations ⋮ Local limit theorems for the random conductance model and applications to the Ginzburg-Landau \(\nabla \phi\) interface model ⋮ Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights ⋮ Aperiodic fractional obstacle problems ⋮ Size of a minimal cutset in supercritical first passage percolation ⋮ Asymptotic behavior of the Dirichlet energy on Poisson point clouds ⋮ Lower large deviations and laws of large numbers for maximal flows through a box in first passage percolation ⋮ Existence and continuity of the flow constant in first passage percolation ⋮ Homogenization of random convolution energies ⋮ Uniform Strong Law of Large Numbers for Random Signed Measures ⋮ Homogenization of ferromagnetic energies on Poisson random sets in the plane ⋮ Quenched local central limit theorem for random walks in a time-dependent balanced random environment ⋮ Homogenization of Random Fractional Obstacle Problems via Γ-Convergence ⋮ Ergodic theorems for some classical problems in combinatorial optimization

Cites Work

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• A strong law of large numbers for partial-sum processes indexed by sets
• Subadditive ergodic theory
• Multiparameter subadditive processes
• The law of large numbers for partial sum processes indexed by sets
• On one-parameter proofs of almost sure convergence of multiparameter processes
• Ergodic theorems for superadditive processes.
• Subadditive mean ergodic theorems
• Ergodic theorems for spatial processes

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