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• W2984592017 abstract "Taking account of recent developments in the representation of $d$-dimensional isotropic stable Levy processes as self-similar Markov processes, we consider a number of new ways to condition its path. Suppose that $Omega$ is a region of the unit sphere $mathbb{S}^{d-1} = {xin mathbb{R}^d: |x| =1}$. We construct the aforesaid stable Levy process conditioned to approach $mathsf{S}$ continuously from either inside or outside of the sphere. Additionally, we show that %this these processes are in duality with the stable process conditioned to remain inside the sphere and absorb continuously at the origin and to remain outside of the sphere, respectively. Our results extend the recent contributions of Doring and Weissman (2018),, where similar conditioning is considered, albeit in one dimension. As is the case there, we appeal to recent fluctuation identities related to the deep factorisation of stable processes." @default.
• W2984592017 created "2019-11-22" @default.
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• W2984592017 creator A5044358331 @default.
• W2984592017 creator A5063274982 @default.
• W2984592017 date "2019-11-14" @default.
• W2984592017 modified "2023-10-01" @default.
• W2984592017 title "Attraction to and repulsion from a subset of the unit sphere for isotropic stable L'evy processes" @default.
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