ON \(H^{2|2}\) ISOMORPHISM THEOREMS AND REINFORCED LOOP SOUP
Résumé
We show that supersymmetric (susy) hyperbolic isomorphism theorems that relate Vertex Reinforced Jump Processes and H 2|2 field, introduced in [2] and [3], are annealed version of isomorphism theorems relating Markov processes and Gaussian free field, with the help of a Bayes formula that relates susy hyperbolic field to susy free field. On the other hand, we also prove a BFS-Dynkin's isomorphism theorem for reinforced loop soup. Moreover, we provide yet another proof of BFS-Dynkin's isomorphism for VRJPà la Feynman-Kac.
Domaines
Probabilités [math.PR]
Origine : Fichiers produits par l'(les) auteur(s)