Branching-coalescing particle systems

Keywords

Particle system, Ergodic theory, Mathematics, Invariant measure, Statistical physics

References

• Stochastic Interacting Systems: Contact, Voter and Exclusion ProcessesThomas M. Liggett — 1999
• Large space-time scale behavior of linearly interacting diffusionsJan M. Swart — 1999
• Diffusion processes in population geneticsTokuzo Shiga — 1981
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• Stochastic p.d.e.'s arising from the long range contact and long range voter processesClaus Müller, Rodge Tribe — 1995
• COALESCENCE IN A RANDOM BACKGROUNDNick Barton, Alison Etheridge, Anja Sturm — 2004
• The ergodicity of a class of reversible reaction-diffusion processesThomas Mountford — 1992
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• An ergodic theorem for Schlögl models with small migrationClaudia Neuhauser — 1990
• Uniqueness of solutions of stochastic differential equationsA. M. Davie — 2007
• Hierarchically Interacting Fleming-Viot Processes With Selection and Mutation: Multiple Space Time Scale Analysis and Quasi-EquilibriaDonald A. Dawson, Andreas Greven — 1999
• Trimmed trees and embedded particle systemsKlaus Fleischmann, Jan M. Swart — 2004
• Ancestral Processes with SelectionStephen M. Krone, Claudia Neuhauser — 1997
• Ergodic theorems for coupled random walks and other systems with locally interacting componentsThomas M. Liggett, Frank Spitzer — 1981
• Extinction versus exponential growth in a supercritical super-Wright-Fisher diffusionKlaus Fleischmann, Jan M. Swart — 2003
• Clustering of linearly interacting diffusions and universality of their long-time limit distributionJan M. Swart — 2000
• Stationary states and their stability of the stepping stone model involving mutation and selectionTokuzo Shiga, Kōhei Uchiyama — 1986
• Genealogical processes for Fleming-Viot models with selection and recombinationPeter Donnelly, Thomas G. Kurtz — 1999

Cited by

• Stability on 0, 1, 2, …S: Birth-Death Chains and Particle SystemsThomas M. Liggett, Alexander Vandenberg‐Rodes — 2010
• Branching Brownian motion with selectionPascal Maillard — 2012
• Extinction versus unbounded growth; Habilitation Thesis of the University Erlangen-NürnbergJan M. Swart — 2007
• Duals and thinnings of some relatives of the contact processJan M. Swart — 2006
• The fixation time of a strongly beneficial allele in a structured populationAndreas Greven, Peter Pfaffelhuber, Cornelia Pokalyuk — 2014
• Duality, ancestral and diffusion processes in models with selection.Shuhei Mano — 2008
• Stochastic Spatial Model of Producer-Consumer Systems on the LatticeNicolas Lanchier — 2013
• Coalescing-branching random walks on graphsChinmoy Dutta, Gopal Pandurangan, Rajmohan Rajaraman — 2013
• Graphical representation of certain moment dualities and application to population models with balancing selectionSabine Jansen, Noemi Kurt — 2012
• GRAPHICAL REPRESENTATION OF SOME DUALI- TY RELATIONS IN STOCHASTIC POPULATION MO- DELSRoland Alkemper, Martin Hutzenthaler — 2007
• A coalescent dual process in a Moran model with genic selection, and the lambda coalescent limit.Alison Etheridge, Robert Griffiths, Jesse E. Taylor — 2010
• Duality and Asymptotics for a Class of Nonneutral Discrete Moran ModelsThierry Huillet, Martin Möhle — 2009
• A particle system with cooperative branching and coalescenceAnja Sturm, Jan M. Swart — 2013
• Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution.U. Lenz, Sandra Kluth, Ellen Baake — 2014
• Ergodic behavior of locally regulated branching populationsM. Hutzenthaler, A. Wakolbinger — 2005
• A modified lookdown construction for the Xi-Fleming-Viot process with mutation and populations with recurrent bottlenecksMatthias Birkner, Jochen Blath, Moehle, Martin — 2008
• Systems of branching, annihilating, and coalescing particlesSiva Athreya, Jan M. Swart — 2012
• Correction to: Branching-coalescing particle systemsSiva Athreya, Jan M. Swart — 2009
• The Contact Process Seen from a Typical Infected SiteJan M. Swart — 2005
• The Brownian netRongfeng Sun, Jan M. Swart — 2006

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