دانلود کتاب An introduction to superprocesses

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Content: Superprocesses as Diffusion Approximations --
The Dawson-Watanabe superprocess --
Branching Brownian motion --
A martingale characterisation --
The Feller diffusion --
Rescaling and tightness --
The Dawson-Watanabe martingale problem --
The method of duality --
A more general class of superprocesses --
Infinite initial measures --
Historical superprocesses --
The Fleming-Viot superprocess --
The stepwise mutation model --
The Fleming-Viot martingale problem --
A dual process for Fleming-Viot --
Qualitative Behaviour I --
The Dawson-Watanabe superprocess via its dual --
A series solution to the evolution equation --
Moments of the Dawson-Watanabe superprocess --
The density in one dimension --
The spde viewpoint --
Occupation times --
Continuity and discontinuity --
The extinction/persistence dichotomy --
The Fleming-Viot superprocess: first properties --
Moments --
The density in one dimension --
The Le Gall Representation --
The branching process in random walk --
The Feller rescaling (again) --
The Evans Immortal Particle --
Other skeletons --
Le Jan\'s construction --
The Brownian Snake --
The infinite variance snake --
Superprocesses and subordination --
The Relationship Between Our Two Classes of Superprocess --
Approximating particle systems revisited --
Generators revisited --
The generator in polar coordinates --
Consequences of the polar form of the generator --
A Countable Representation --
A second look at the moment equations for Fleming-Viot --
The lookdown process --
The modified Donnelly-Kurtz construction.