On the moments and the interface of the symbiotic branching model
DOI10.1214/10-AOP543zbMath1219.60082arXiv1012.1759OpenAlexW4297832958WikidataQ60500163 ScholiaQ60500163MaRDI QIDQ624662
Leif Döring, Jochen Blath, Alison M. Etheridge
Publication date: 9 February 2011
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.1759
self-dualityparabolic Anderson modelmoment dualitymutually catalytic branchingstepping stone modelsymbiotic branching modelexit distributionpropagation of interface
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (5)
Cites Work
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- Infinite rate mutually catalytic branching in infinitely many colonies: the longtime behavior
- Parabolic problems for the Anderson model. I: Intermittency and related topics
- A Trotter-type approach to infinite rate mutually catalytic branching
- An interacting system in population genetics. I
- Uniqueness for a mutually catalytic branching model
- Long-time behavior and coexistence in a mutually catalytic branching model
- Finite width for a random stationary interface
- Large time behavior of interface solutions to the heat equation with Fisher-Wright white noise
- Infinite rate mutually catalytic branching in infinitely many colonies: construction, characterization and convergence
- Recurrence and ergodicity of interacting particle systems
- Ergodic theorems and exponential decay of sample paths for certain interacting diffusion systems
- Phase transitions for the long-time behavior of interacting diffusions
- Strong uniqueness for cyclically symbiotic branching diffusions
- Compact interface property for symbiotic branching
- Some Theorems Concerning 2-Dimensional Brownian Motion
- On the support of solutions to the heat equation with noise
- Parabolic Anderson problem and intermittency
- Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations
- Mutually catalytic super branching random walks: large finite systems and renormalization analysis
- Brownian Motion
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