A Symmetry Property for a Class of Random Walks in Stationary Random Environments on Z

A Symmetry Property for a Class of Random Walks in Stationary Random Environments on Z

A correspondence formula between the laws of dual Markov chains on Z with two transition jumps is established. This formula contributes to the study of random walks in stationary random environments. Counterexamples with more than two jumps are exhibited.

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Veröffentlicht in:Journal of applied probability 2012-06, Vol.49 (2), p.338-350
Hauptverfasser: Derrien, Jean-Marc, Plantevin, Frédérique
Format: Artikel
Sprache:eng
Schlagworte:
60J10
60K37
conductance and resistance
Coordinate systems
Counterexamples
duality
Environmental regulation
Integers
Laws
Markov analysis
Markov chain
Markov chains
Mathematical duality
Mathematical theorems
Property titles
Random variables
Random walk
Random walk theory
stationary random environment
Studies
Symmetry
Transition probabilities
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Beschreibung
Zusammenfassung:A correspondence formula between the laws of dual Markov chains on Z with two transition jumps is established. This formula contributes to the study of random walks in stationary random environments. Counterexamples with more than two jumps are exhibited.
ISSN:0021-9002
1475-6072
DOI:10.1239/jap/1339878790