English

Compound Poisson Processes: Potentials, Green Measures and Random Times

Probability 2022-07-26 v1 Functional Analysis

Abstract

In this paper we study the existence of Green measures for Markov processes with a nonlocal jump generator. The jump generator has no second moment and satisfies a suitable condition on its Fourier transform. We also study the same problem for certain classes of random time changes Markov processes with jump generator.

Keywords

Cite

@article{arxiv.2207.12223,
  title  = {Compound Poisson Processes: Potentials, Green Measures and Random Times},
  author = {Yuri Kondratiev and José Luís da Silva},
  journal= {arXiv preprint arXiv:2207.12223},
  year   = {2022}
}

Comments

20 pages

R2 v1 2026-06-25T01:12:24.766Z