Margherita Disertori, Franz Merkl, Silke W. W. Rolles
Published 2015-11-23Version 1
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.
Restrictions of some reinforced processes to subgraphs
Transience of vertex-reinforced jump processes with long-range jumps
$\mathbb{H}^{2|2}$-model and Vertex-Reinforced Jump Process the Regular Trees: Infinite-Order Transition and an Intermediate Phase
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