Branching processes in correlated random environment

DOI10.1214/19-ECP268zbMath1457.60131arXiv1903.11338OpenAlexW2983943528MaRDI QIDQ2279086

Nadine Guillotin-Plantard, Xinxin Chen

Publication date: 12 December 2019

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11338

zbMATH Keywords

branching processrandom walkpositive association

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Maximal \(\phi\)-inequalities for demimartingales
• A necessary and sufficient condition for a branching process in a random environment to grow like the product of its means
• Persistence probabilities for stationary increment processes
• A law of the iterated logarithm for stable processes in random scenery
• Random walks and branching processes in correlated Gaussian environment
• Stochastic-Process Limits
• Weak convergence to fractional brownian motion and to the rosenblatt process
• The Survival Probability of a Critical Branching Process in a Random Environment
• On the maximum of a critical branching process in a random environment
• Association of Random Variables, with Applications
• On Branching Processes in Random Environments
• On Branching Processes with Random Environments: I: Extinction Probabilities
• Branching Processes with Random Environments, II: Limit Theorems

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