Superprocess: Stochastic Process, Lévy Process, Generating Set, Brownian Motion, Differential Equation, Probability Theory - Tapa blanda

Sinopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. An (¿,d,ß)-superprocess, X(t,dx), is a stochastic process on \mathbb{R} \times \mathbb{R}^d that is usually constructed as a special limit of branching diffusion where the branching mechanism is given by its factorial moment generating function: \Phi(s) = \frac{1}{1+\beta}(1-s)^{1+\beta}+s and the spatial motion of individual particles is given by the ¿-symmetric stable process with infinitesimal generator ¿¿.The ¿ = 2 case corresponds to standard Brownian motion and the (2,d,1)-superprocess is called the Dawson-Watanabe superprocess or super-Brownian motion.

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