Limit distributions arising in branching random walks on integer lattices

DOI10.1007/S10986-011-9128-2zbMath1286.60022OpenAlexW2025608201MaRDI QIDQ392766

Ekaterina Vladimirovna Bulinskaya

Publication date: 15 January 2014

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-011-9128-2

zbMATH Keywords

conditional limit theoremscritical branching random walktwo-dimensional Bellman-Harris process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

Hitting times with taboo for a random walk ⋮ Subcritical catalytic branching random walk with finite or infinite variance of offspring number ⋮ Critical Bellman-Harris branching processes with long-living particles ⋮ Local particles numbers in critical branching random walk ⋮ Limit theorems for local particle numbers in branching random walk ⋮ Operators Satisfying the Schur Condition and their Applications to the Branching Random Walks ⋮ Catalytic Branching Processes via Spine Techniques and Renewal Theory

Cites Work

• The monotonicity of the probability of return into the source in models of branching random walks
• Critical branching random walks on low-dimensional lattices
• Branching Random Walk in ${\bfZ}^{4}$ with Branching at the Origin Only
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