BRANCHING STRUCTURE FOR THE TRANSIENT (1, R)-RANDOM WALK IN RANDOM ENVIRONMENT AND ITS APPLICATIONS

DOI10.1142/S0219025710004188zbMath1217.60086arXiv1003.3733OpenAlexW2963682360MaRDI QIDQ3070063

Lin Zhang, Wenming Hong

Publication date: 2 February 2011

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

Full work available at URL: https://arxiv.org/abs/1003.3733

zbMATH Keywords

law of large numbersrandom environmentrandom walkmulti-type branching processWald's equality

Mathematics Subject Classification ID

Applications of branching processes (60J85) Processes in random environments (60K37)

Related Items (8)

Convergence in \(L^p\) for a supercritical multi-type branching process in a 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 ⋮ Explicit stationary distribution of the \((L,1)\)-reflecting random walk on the half line ⋮ 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 ⋮ INTRINSIC BRANCHING STRUCTURE WITHIN (L-1) RANDOM WALK IN RANDOM ENVIRONMENT AND ITS APPLICATIONS ⋮ Branching particle systems in spectrally one-sided Lévy processes

Cites Work

• Unnamed Item
• Unnamed Item
• Recurrence and transience criteria for random walk in a random environment
• One-dimensional finite range random walk in random medium and invariant measure equation
• Lingering random walks in random environment on a strip
• Limiting distributions and regeneration times for multitype branching processes with immigration in a random environment
• A zero or one law for one dimensional random walks in random environments
• Many visits to a single site by a transient random walk in random environment.
• On some random walks on \(\mathbb{Z}\) in random medium
• Transient random walks on a strip in a random environment
• Random walks in a random environment
• Recurrence and transience of random walks in random environments on a strip

This page was built for publication: BRANCHING STRUCTURE FOR THE TRANSIENT (1, R)-RANDOM WALK IN RANDOM ENVIRONMENT AND ITS APPLICATIONS