2 papers
math.PR2017
Intertwining, Excursion Theory and Krein Theory of Strings for Non-self-adjoint Markov Semigroups
Pierre Patie, Mladen Savov, Yixuan Zhao
In this paper, we start by showing that the intertwining relationship between two minimal Markov semigroups acting on Hilbert spaces implies that any recurrent extensions, in the s…
math.PR2016
Spectral decomposition of fractional operators and a reflected stable semigroup
Pierre Patie, Yixuan Zhao
In this paper, we provide the spectral decomposition in Hilbert space of the -semigroup and its adjoint $\hatP$ having as generator, respectively, the Caputo and…