A Markov property for set-indexed processes

Details A Markov property for set-indexed processes A Markov property for set-indexed processes

2004-12-17

arxiv.org/abs/math/0412350v1

Journal of Theoretical Probability 15 (2002), 553-588

Mathematics

Probability

34 pages, 1 figure

Scientific paper

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.

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