Ergodic properties of color records

DOI10.1016/0378-4371(86)90179-2zbMath0666.60037OpenAlexW2032964549MaRDI QIDQ1116532

W. Th. F. den Hollander, Michael S. Keane

Publication date: 1986

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(86)90179-2

zbMATH Keywords

random walksstrongly mixingergodic properties of the color record processstochastic coloringsstochastically black-white colored lattice

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Limit theorems in probability theory (60F99)

Related Items (16)

Scenery reconstruction in two dimensions with many colors ⋮ A condition for distinguishing sceneries on non-abelian groups ⋮ Scenery reconstruction for random walk on random scenery systems ⋮ Reconstruction of periodic sceneries seen along a random walk ⋮ Shotgun reconstruction in the hypercube ⋮ How to Read a Randomly Mixed Up Message ⋮ A long-time tail for random walk in random scenery ⋮ Unnamed Item ⋮ Reconstructing a two-color scenery by observing it along a simple random walk path ⋮ Markers for error-corrupted observations ⋮ Retrieving random media ⋮ Harry Kesten's work in probability theory ⋮ Orthogonality of Measures Induced by Random Walks with Scenery ⋮ Reconstructing a recurrent random environment from a single trajectory of a random walk in random environment with errors ⋮ Distinguishing sceneries by observing the scenery along a random walk path ⋮ Reconstruction of sceneries with correlated colors.

Cites Work

• Unnamed Item
• \(T,T^{-1}\) transformation is not loosely Bernoulli
• Ergodic theorems. With a supplement by Antoine Brunel
• Marches aléatoires sur les groupes de Lie

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