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Change of measure in the lookdown particle system
Doob h-transform Fleming Viot process Wright Fisher diffusion Superprocesses Lookdown particle system
2012/4/18
We perform various changes of measure in the lookdown particle system of Donnelly and Kurtz. The first example is a product type h-transform related to conditioning a Generalized Fleming Viot process ...
Comment on "Response calculations with an independent particle system with an exact one-particle density matrix''
calculations independent particle system one-particle density matrix
2010/11/16
We point out an error in the argument [PRL 105, 013002 (2010)] that the time independence of the occupation numbers in the adiabatic approximation follows from the invariance of the ground-state inter...
Some Limit Theorems for a Particle System of Single Point Catalytic Branching Random Walks
Renewal equation branching particle system scaling limit
2007/12/10
We study the scaling limit for a catalytic branching particle system whose particles perform random walks on ${\Bbb Z}$ and can branch at 0 only. Varying the initial (finite) number of particles, we g...