Loop-free Markov chains as determinantal point processes
Alexei Borodin (2008)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
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.