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math.PR2017
Further studies on square-root boundaries for Bessel processes
Larbi Alili, Hiroyuki Matsumoto
We look at decompositions of perpetuities and apply that to the study of the distributions of hitting times of Bessel processes of two types of square root boundaries. These distri…
math.PR2017
Space and time inversions of stochastic processes and Kelvin transform
Larbi Alili, Loïc Chaumont, Piotr Graczyk +1
Let be a standard Markov process. We prove that a space inversion property of implies the existence of a Kelvin transform of -harmonic, excessive and operator-harmonic f…