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Nonlocal regional operators and the corresponding stochastic processes

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FDE2 - Fractional differential equations

We investigate regional nonlocal operators on an open set $D$ obtained by restricting the jumping kernel $k(x,y)$ of an integro-differential operator to $D\times D$ and introduce two corresponding stochastic processes – the censored and resurrected process. Using the theory of Dirichlet forms we analyze the pathwise properties of these processes and their behavior near the boundary $\partial D$.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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