Complete Classification of Catalytic Branching Processes

DOI10.1137/S0040585X97T987314zbMath1376.60074arXiv1502.04242MaRDI QIDQ3462252

Ekaterina Vladimirovna Bulinskaya

Publication date: 5 January 2016

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04242

zbMATH Keywords

classificationmoment analysiscatalytic branching processhitting times under taboomultitype Bellman-Harris process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (11)

Catalytic branching random walk with semi-exponential increments ⋮ First hitting time of a high level by a catalytic branching walk ⋮ Spread of a catalytic branching random walk on a multidimensional lattice ⋮ The spread speed of multiple catalytic branching random walks ⋮ On the maximal displacement of catalytic branching random walk ⋮ Maximum of catalytic branching random walk with regularly varying tails ⋮ On the variance of the particle number of a supercritical branching random walk on periodic graphs ⋮ Fluctuations of the Propagation Front of a Catalytic Branching Walk ⋮ Maximum of a catalytic branching random walk ⋮ Heavy-tailed branching random walks on multidimensional lattices. A moment approach ⋮ Galton-Watson processes in varying environment and accessibility percolation

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