Stability and instability of steady states for a branching random walk

DOI10.1007/s11009-020-09791-0zbMath1482.60114arXiv1903.06270OpenAlexW3021851460MaRDI QIDQ2241506

Yaqin Feng, E. B. Yarovaya, Stanislav Alekseevich Molchanov

Publication date: 9 November 2021

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06270

zbMATH Keywords

limit theoremssteady stateconvergence to equilibriumbranching random walklocal perturbation

Mathematics Subject Classification ID

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

Cites Work

• Structure of population inside propagating front
• The moment analysis of a branching random walk on a lattice with a single source
• Branching processes with lattice spatial dynamics and a finite set of particle generation centers
• Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation
• Spectral analysis of non-local Schrödinger operators
• Large deviations for a symmetric branching random walk on a multidimensional lattice
• RANDOM WALKS WITH HEAVY TAILS AND LIMIT THEOREMS FOR BRANCHING PROCESSES WITH MIGRATION AND IMMIGRATION
• CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL
• Asymptotics of branching symmetric random walk on the lattice with a single source
• A limit theorem for a supercritical branching random walk on $ \mathbb Z^d$ with a single source
• Spectral Asymptotics of a Supercritical Branching Random Walk
• Stationary distributions in Kolmogorov-Petrovski- Piskunov-type models with an infinite number of particles
• Limit theorems for the Green function of the lattice Laplacian under large deviations of the random walk
• On ground state of some non local Schrödinger operators

This page was built for publication: Stability and instability of steady states for a branching random walk