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math.PR2024
The structure of entrance and exit at infinity for time-changed Lévy processes
Samuel Baguley, Leif Döring, Quan Shi
Studying the behaviour of Markov processes at boundary points of the state space has a long history, dating back all the way to William Feller. With different motivations in mind e…
math.PR2024
Uniqueness of locally stable Gibbs point processes via spatial birth-death dynamics
Samuel Baguley, Andreas Göbel, Marcus Pappik
We prove that for every locally stable and tempered pair potential with bounded range, there exists a unique infinite-volume Gibbs point process on for every act…
math.PR2020★ 1 cited
General path integrals and stable SDEs
Sam Baguley, Leif Doering, Andreas Kyprianou
The theory of one-dimensional stochastic differential equations driven by Brownian motion is classical and has been largely understood for several decades. For stochastic different…