Catalytic Branching Processes via Spine Techniques and Renewal Theory

DOI10.1007/978-3-319-00321-4_12zbMath1411.60121arXiv1106.5428OpenAlexW1525160637MaRDI QIDQ2865112

Leif Döring, Matthew I. Roberts

Publication date: 28 November 2013

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5428

zbMATH Keywords

branching processes in catalytic media

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)

Related Items (7)

Strong and weak convergence of the population size in a supercritical catalytic branching process ⋮ Spread of a catalytic branching random walk on a multidimensional lattice ⋮ Moment formulas for multitype continuous state and continuous time branching process with immigration ⋮ Complete Classification of Catalytic Branching Processes ⋮ The spread speed of multiple catalytic branching random walks ⋮ Finiteness of hitting times under taboo ⋮ Branching Brownian motion with catalytic branching at the origin

Cites Work

• Limit distributions arising in branching random walks on integer lattices
• The many-to-few lemma and multiple spines
• An application of renewal theorems to exponential moments of local times
• Use of spectral methods to study branching processes with diffusion in a noncompact phase space
• Annealed asymptotics for the parabolic Anderson model with a moving catalyst
• A renewal theorem in the infinite mean case
• Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
• Branching random walk in a catalytic medium. I: Basic equations
• The monotonicity of the probability of return into the source in models of branching random walks
• The Strong Law of Large Numbers When the Mean is Undefined
• Asymptotics of branching symmetric random walk on the lattice with a single source
• Branching Random Walk in ${\bfZ}^{4}$ with Branching at the Origin Only
• Limit Theorem for Critical Catalytic Branching Random Walks
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Catalytic Branching Processes via Spine Techniques and Renewal Theory