First hitting time of a high level by a catalytic branching walk

DOI10.1134/S0081543822010084OpenAlexW4225137691MaRDI QIDQ2135123

Ekaterina Vladimirovna Bulinskaya

Publication date: 4 May 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543822010084

zbMATH Keywords

first hitting timesupercriticalityalmost sure convergent limit theoremcatalytic branching random walk

Mathematics Subject Classification ID

Applications of branching processes (60J85) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Functional limit theorems; invariance principles (60F17)

Cites Work

• Unnamed Item
• Unnamed Item
• Strong and weak convergence of the population size in a supercritical catalytic branching process
• Branching random walks. École d'Été de Probabilités de Saint-Flour XLII -- 2012
• Large deviations for the maximum of a branching random walk with stretched exponential tails
• Spread of a catalytic branching random walk on a multidimensional lattice
• Branching processes with lattice spatial dynamics and a finite set of particle generation centers
• Maximum of catalytic branching random walk with regularly varying tails
• Finiteness of hitting times under taboo
• The spread of a catalytic branching random walk
• Some limit theorems for a particle system of single point catalytic branching random walks
• Asymptotic Analysis of Random Walks: Light-Tailed Distributions
• Complete Classification of Catalytic Branching Processes
• Asymptotic Analysis of Random Walks
• Asymptotics of branching symmetric random walk on the lattice with a single source
• Markov Chains
• Branching Random Walk in ${\bfZ}^{4}$ with Branching at the Origin Only
• Heavy-tailed branching random walks on multidimensional lattices. A moment approach
• Catalytic branching random walk with semi-exponential increments
• Fluctuations of the Propagation Front of a Catalytic Branching Walk
• Branching Random Walks on $Z^d$ with Periodic Branching Sources
• Branching Brownian motion with spatially homogeneous and point-catalytic branching
• Large deviation estimates for branching random walks

This page was built for publication: First hitting time of a high level by a catalytic branching walk