Mutually catalytic branching in the plane: Finite measure states
From MaRDI portal
Publication:1872307
DOI10.1214/aop/1039548370zbMath1017.60098OpenAlexW2112938688WikidataQ101580187 ScholiaQ101580187MaRDI QIDQ1872307
Klaus Fleischmann, Jie Xiong, Alison M. Etheridge, Edwin A. Perkins, Donald A. Dawson, Leonid Mytnik
Publication date: 6 May 2003
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/122772
martingale problemcatalytic super-Brownian motioncollision local timedual processsegregation of types
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items
The scaling limit of the interface of the continuous-space symbiotic branching model, Compact interface property for symbiotic branching, Skew convolution semigroups and affine Markov processes, Mutually interacting superprocesses with migration
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Superprocesses in random environments
- A continuous super-Brownian motion in a super-Brownian medium
- An \(\infty\)-dimensional inhomogeneous Langevin's equation
- On the Skorokhod topology
- Stochastic partial differential equations for some measure-valued diffusions
- One dimensional stochastic partial differential equations and the branching measure diffusion
- Infinite dimensional stochastic differential equations and their applications
- Uniqueness for a mutually catalytic branching model
- Smooth density field of catalytic super-Brownian motion
- Long-time behavior and coexistence in a mutually catalytic branching model
- Super-Brownian motions in higher dimensions with absolutely continuous measure states
- On the filtration of historical Brownian motion
- Persistence of a two-dimensional super-Brownian motion in a catalytic medium
- \(K\)-matrices for 2D conformal field theories
- Particle representations for measure-valued population models
- Uniqueness for a class of one-dimensional stochastic PDEs using moment duality.
- A cyclically catalytic super-Brownian motion
- The biodiversity of catalytic super-Brownian motion.
- Resolvent estimates for Fleming-Viot operators and uniqueness of solutions to related martingale problems
- Longtime behavior of a branching process controlled by branching catalysts
- Super-mouvement brownien avec catalyse
- Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains
- Collision Local Times and Measure-Valued Processes
- Measure-Valued Branching Diffusions with Singular Interactions
- Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations
- On the martingale problem for interactive measure-valued branching diffusions
- On the hot spots of a catalytic super-Brownian motion
