Markov loops, complex free field and Eulerian circuits

Abstract

We study the complex free field associated with a symmetric Markov chain. Applications are given to loop ensembles, second Ray Knight theorem and random Eulerian circuits.

References in corpus (5)

• Poisson ensembles of loops of one-dimensional diffusions
• Markov loops in discrete spaces
• Loop cluster on the discrete circle
• Inverting Ray-Knight identity
• Phase transition in loop percolation