Critical Slowdown for the Ising Model on the Two-Dimensional Lattice

Eyal Lubetzky Microsoft Research Redmond April 13, 2010 Intensive study throughout the last three decades has yielded a rigorous understanding of the spectral-gap of the Glauber dynamics for the Ising model on Z2 everywhere except at criticality. While the critical behavior of the Ising model has long been the focus for physicists, mathematicians have only recently developed an understanding of its critical geometry with the advent of SLE, CLE and new tools to study conformally invariant systems. A rich

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