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Critical Multitype Branching Systems: Extinction Results
Critical branching particle system Extinction Markov renewal process
2011/8/22
Abstract: We consider a critical branching particle system in $\R^d$, composed of individuals of a finite number of types $i\in\{1,...,K\}$. Each individual of type $i$ moves independently according t...
Behaviour near extinction for the Fast Diffusion Equation on bounded domains
Nonlinear evolution singular parabolic fast diusion Harnack asymptotics
2011/1/18
We consider the Fast Diusion Equation ut = um posed in a bounded smooth domain
Rd with homogeneous Dirichlet conditions; the exponent range is ms = (d 2)+=(d + 2) < m < 1.It is known...