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Branching diffusion in the super-critical regime
Branching diffusion the super-critical regime Probability
2012/7/11
We investigate the long-time evolution of branching diffusion processes (starting with a single particle) in inhomogeneous media. The qualitative behavior of the processes depends on the intensity of ...
A branching diffusion model of selection: from the neutral Wright-Fisher case to the one including mutations
Diffusions Doob transform killing, branching quasi-stationarity Wright-Fisher model neutral or with mutation selection
2011/10/8
Abstract: We consider diffusion processes x_{t} on the unit interval. Doob-transformation techniques consist of a selection of x_{t}-paths procedure. The law of the transformed process is the one of a...
Branching diffusion in inhomogeneous media
Branching diffusion inhomogeneous media Probability
2011/8/26
Abstract: We investigate the long-time evolution of branching diffusion processes (starting with a finite number of particles) in inhomogeneous media. The qualitative behavior of the processes depends...
Predictability of extreme events in a branching diffusion model
extreme events branching diffusion model
2010/4/6
We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- hierarchical structure, spatial dynamics, and external driving -- are combined in ...