Minima of independent time-inhomogeneous random walks

DOI10.1142/S0219025720500216zbMath1461.60069OpenAlexW3107971011MaRDI QIDQ5150262

Wanting Hou, Wenming Hong

Publication date: 10 February 2021

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

Full work available at URL: https://doi.org/10.1142/s0219025720500216

zbMATH Keywords

large deviationsbranching random walklimit behaviorasymptotically criticalthe minimal positiontime-inhomogeneous random walks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Convergence in law of the minimum of a branching random walk
• Branching random walks in time inhomogeneous environments
• Criteria for the recurrence or transience of stochastic process. I
• On the number of cutpoints of the transient nearest neighbor random walk on the line
• Transient nearest neighbor random walk on the line
• Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees
• Large deviations techniques and applications.
• Transient nearest neighbor random walk and Bessel process
• Maxima of branching random walks vs. independent random walks
• Postulates for subadditive processes
• The first birth problem for an age-dependent branching process
• Minimal positions in a branching random walk
• Cutoff phenomenon for nearest Lamperti's random walk
• Minima in branching random walks
• Criteria for stochastic processes. II: Passage-time moments
• On Deviations of the Sample Mean
• The first- and last-birth problems for a multitype age-dependent branching process
• Minimal displacement of branching random walk

This page was built for publication: Minima of independent time-inhomogeneous random walks