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A continuous random operator associated with the H^{2|2} model

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SSDW01 - Self-interacting processes

Thanks to a suitable change of variable, one can reduce the study of the H^{2|2} model to the study of some beta potential on a graph. This beta potential is strongly related to some random operators on the graph which are called H_{beta} and G_{beta}. Moreover, these operators are central in the analysis of the Vertex Reinforced Jump Process. (VRJP) In this talk, I will explain how to construct a scaling limit of G_{beta} on the continuous circle. This talk is based on a joint work with Christophe Sabot. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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