The limit theorems for random walk with state space \(\mathbb R\) in a space-time random environment

DOI10.1007/S10114-007-6332-4zbMath1147.60019OpenAlexW2057800285MaRDI QIDQ943507

Dihe Hu, Zhenlong Gao, Wei Gang Wang

Publication date: 9 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-6332-4

zbMATH Keywords

invariance principleCLTspace-time random environmentthe law of large numbersiterated law

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Processes in random environments (60K37) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (1)

Harmonic moments of branching processes in random environments

Cites Work

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• Markov chains in random environments: The case of Markovian environments
• Markov chains with stochastically stationary transition probabilities
• The classification and period of states for Markov chain in random environment
• The central limit theorem for Markov chains started at a point
• Random walks in quenched i.i.d. space-time random environment are always a.s. diffusive
• The decomposition of state space for Markov chain in random environment
• The ergodic theory of Markov chains in random environments
• Limit theorems for random transformations and processes in random environments
• The almost sure central limit theorem for one-dimensional nearest-neighbour random walks in a space-time random environment

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