Loop-erased random walks, spanning trees and Hamiltonian cycles.
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Marchal, Philippe (2000)
Electronic Communications in Probability [electronic only]
Alexei Borodin (2008)
Annales de l'I.H.P. Probabilités et statistiques
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.
Gabriel Mokobodzki (1989)
Séminaire de probabilités de Strasbourg
Klaus Fleischmann, Vitali Wachtel (2007)
Annales de l'I.H.P. Probabilités et statistiques
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