Loop-erased random walks, spanning trees and Hamiltonian cycles.
Loop-free Markov chains as determinantal point processes
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.
L'opérateur carré du champ : un contre-exemple
Lower deviation probabilities for supercritical Galton–Watson processes