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arxiv: 1405.0295 · v1 · pith:MFUYCWEKnew · submitted 2014-05-01 · 🧮 math.PR

Martin boundary for some symmetric L\'evy processes

classification 🧮 math.PR
keywords boundarymartinpointmathbbopenprocessessymmetricassociated
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In this paper we study the Martin boundary of open sets with respect to a large class of purely discontinuous symmetric L\'evy processes in ${\mathbb R}^d$. We show that, if $D\subset {\mathbb R}^d$ is an open set which is $\kappa$-fat at a boundary point $Q\in \partial D$, then there is exactly one Martin boundary point associated with $Q$ and this Martin boundary point is minimal.

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