Loop-free Markov chains as determinantal point processes

Details Loop-free Markov chains as determinantal point processes Loop-free Markov chains as determinantal point processes

2006-05-06

arxiv.org/abs/math/0605168v2

Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiques 2008, Vol. 44, No. 1, 19-28

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/07-AIHP115 the Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiqu

Scientific paper

10.1214/07-AIHP115

We show that any loop-free Markov chain on a discrete space can be viewed as
a determinantal point process. As an application, we prove central limit
theorems for the number of particles in a window for renewal processes and
Markov renewal processes with Bernoulli noise.

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