Branching processes with lattice spatial dynamics and a finite set of particle generation centers

DOI10.1134/S1064562412040278zbMath1270.60092MaRDI QIDQ1930824

Stanislav Alekseevich Molchanov, E. B. Yarovaya

Publication date: 14 January 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

potentialphase transitionbranching random walkhomopolymer

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (15)

First hitting time of a high level by a catalytic branching walk ⋮ A weakly supercritical mode in a branching random walk ⋮ Spread of a catalytic branching random walk on a multidimensional lattice ⋮ Spectral Asymptotics of a Supercritical Branching Random Walk ⋮ The structure of the positive discrete spectrum of the evolution operator arising in branching random walks ⋮ Branching random walk in a random time-independent environment ⋮ Positive discrete spectrum of the evolutionary operator of supercritical branching walks with heavy tails ⋮ Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation ⋮ On the maximal displacement of catalytic branching random walk ⋮ Large deviations for a symmetric branching random walk on a multidimensional lattice ⋮ Maximum of catalytic branching random walk with regularly varying tails ⋮ Stability and instability of steady states for a branching random walk ⋮ Operator equations of branching random walks ⋮ Fluctuations of the Propagation Front of a Catalytic Branching Walk ⋮ Maximum of a catalytic branching random walk

Cites Work

• Parabolic problems for the Anderson model. I: Intermittency and related topics
• Continuous model for homopolymers
• Spectral properties of evolutionary operators in branching random walk models
• Geometric characterization of intermittency in the parabolic Anderson model
• Criteria of Exponential Growth for the Numbers of Particles in Models of Branching Random Walks

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