arXiv:1807.07360 Abstract | arXiv Analytics

arXiv:1807.07360 [math.PR]Abstract References Reviews Resources

Green function of a random walk in a cone

Published 2018-07-19Version 1

This paper studies the asymptotic behavior of the Green function of a multidimensional random walk killed when leaving a convex cone with smooth boundary. Our results imply uniqueness, up to a multiplicative factor, of the positive harmonic function for the killed random walk.

Categories: math.PR

Subjects: 60G50

Keywords: green function, multidimensional random walk, paper studies, positive harmonic function, results imply uniqueness

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