Ultrametricity in spin glasses
Dmitry Panchenko
Department of Mathematics, University of Toronto, Toronto, Canada
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Abstract
Ultrametricity of the Gibbs measure is a fundamental feature of the Parisi solution of the Sherrington–Kirkpatrick model of spin glasses. We will start by describing one origin of ultrametricity in a way that requires no special knowledge, and after that review some background and discuss some applications.