English

A Markov property for set-indexed processes

Probability 2007-05-23 v1

Abstract

We consider a type of Markov property for set-indexed processes which is satisfied by all processes with independent increments and which allows us to introduce a transition system theory leading to the construction of the process. A set-indexed generator is defined such that it completely characterizes the distribution of the process.

Keywords

Cite

@article{arxiv.math/0412350,
  title  = {A Markov property for set-indexed processes},
  author = {Raluca Balan and Gail Ivanoff},
  journal= {arXiv preprint arXiv:math/0412350},
  year   = {2007}
}

Comments

34 pages, 1 figure