A supersymmetric approach to martingales related to the vertex-reinforced jump process

Disertori, Margherita; Merkl, Franz and Rolles, Silke W. W. (2017): A supersymmetric approach to martingales related to the vertex-reinforced jump process. In: Alea-Latin American Journal of Probability and Mathematical Statistics, Vol. 14, No. 1: pp. 529-555

Abstract

Sabot and Zeng, have discovered two martingales, one of which played a key role in their investigation of the vertex-reinforced jump process. Starting from the related supersymmetric hyperbolic sigma model, we give an alternative derivation of these two martingales. They turn out to be the first two instances in an infinite hierarchy of martingales, derived from a generating function.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1980-0436
• Language: English