INTRINSIC BRANCHING STRUCTURE WITHIN (L-1) RANDOM WALK IN RANDOM ENVIRONMENT AND ITS APPLICATIONS

DOI10.1142/S0219025713500069zbMath1274.60256arXiv1003.3731MaRDI QIDQ2854014

Wenming Hong, Hua Ming Wang

Publication date: 17 October 2013

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3731

zbMATH Keywords

densitybranching processrandom environmentrandom walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (9)

A note on multitype branching process with bounded immigration in random environment ⋮ Branching Structures Within Random Walks and Their Applications ⋮ Law of large numbers for random walk with unbounded jumps and birth and death process with bounded jumps in random environment ⋮ Scaling limit of local time of Sinai's random walk ⋮ On total progeny of multitype Galton-Watson process and the first passage time of random walk on lattice ⋮ Light-tailed behavior of stationary distribution for state-dependent random walks on a strip ⋮ Scaling limit of the local time of the reflected \((1, 2)\)-random walk ⋮ M-estimator and its weak consistency for a (2, 1) random walk in a parametric random environment ⋮ Branching particle systems in spectrally one-sided Lévy processes

Cites Work

• Recurrence and transience criteria for random walk in a random environment
• Linear and sub-linear growth and the CLT for hitting times of a random walk in random environment on a strip
• Limiting distributions and regeneration times for multitype branching processes with immigration in a random environment
• On some random walks on \(\mathbb{Z}\) in random medium
• Transient random walks on a strip in a random environment
• Simple transient random walks in one-dimensional random environment: the central limit theorem
• BRANCHING STRUCTURE FOR THE TRANSIENT (1, R)-RANDOM WALK IN RANDOM ENVIRONMENT AND ITS APPLICATIONS
• The method of averaging and walks in inhomogeneous environments
• Recurrence and transience of random walks in random environments on a strip

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