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math.PR2015
A supersymmetric approach to martingales related to the vertex-reinforced jump process
Margherita Disertori, Franz Merkl, Silke W. W. Rolles
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 supersymmetri…
math.PR2015
A comparison of the nonlinear sigma model with general pinning and pinning at one point
Margherita Disertori, Franz Merkl, Silke W. W. Rolles
We study the nonlinear supersymmetric hyperbolic sigma model introduced by Zirnbauer in 1991. This model can be related to the mixing measure of a vertex- reinforced jump process.…