LA Probability Forum

Series: Caltech/UCLA Joint Probability Seminar Series

Uniqueness and CLT for the Ground State of the Disordered Monomer-Dimer Model on Z^d

Gourab Ray, Mathematics & Statistics, University of Victoria,

UCLA, Math Sciences Bldg., Rm 6627

We prove that the disordered monomer-dimer model does not admit infinite volume incongruent ground states in Z^d which can be obtained as a limit of finite volume ground states. As an application, we obtain a CLT for the ground state weight for a growing sequence of tori. Our motivation stems from a similar and long standing open questions for the short range Edwards-Anderson spin glass model.

Joint work with Kesav Krishnan.

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