A Trotter-type approach to infinite rate mutually catalytic branching

DOI10.1214/09-AOP488zbMath1191.60112arXiv0901.2993MaRDI QIDQ964775

Achim Klenke, Mario Oeler

Publication date: 21 April 2010

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.2993

zbMATH Keywords

stochastic differential equationspopulation dynamicsmartingale problemmutually catalytic branchingTrotter formula

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Transition functions, generators and resolvents (60J35)

Related Items (8)

The scaling limit of the interface of the continuous-space symbiotic branching model ⋮ Longtime Behavior for Mutually Catalytic Branching with Negative Correlations ⋮ Infinite rate symbiotic branching on the real line: the tired frogs model ⋮ Infinite rate mutually catalytic branching in infinitely many colonies: construction, characterization and convergence ⋮ On the moments and the interface of the symbiotic branching model ⋮ Infinite rate mutually catalytic branching in infinitely many colonies: the longtime behavior ⋮ A Trotter-type approach to infinite rate mutually catalytic branching ⋮ Infinite rate mutually catalytic branching

Cites Work

• Infinite rate mutually catalytic branching in infinitely many colonies: the longtime behavior
• A Trotter-type approach to infinite rate mutually catalytic branching
• Infinite rate mutually catalytic branching
• Stopping times and tightness
• Long-time behavior and coexistence in a mutually catalytic branching model
• Infinite rate mutually catalytic branching in infinitely many colonies: construction, characterization and convergence
• Recurrence and ergodicity of interacting particle systems
• Compact interface property for symbiotic branching
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