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Mixing time of random walk on dynamical random cluster

Mixing time of random walk on dynamical random cluster

Abstract We study the mixing time of a random walker who moves inside a dynamical random cluster model on the d -dimensional torus of side-length n . In this model, edges switch at rate $$\mu $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>μ</mml:mi> </mml:math> between open and closed , following a Glauber dynamics for …