Slow Mixing of Glauber Dynamics for the Six-Vertex Model in the Ferroelectric and Antiferroelectric Phases

Matthew Fahrbach
Matthew Fahrbach

arXiv: Data Structures and Algorithms, 2019.

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Abstract:

We analyze the mixing time of Glauber dynamics for the six-vertex model in the ferroelectric and antiferroelectric phases. Specifically, we show that for all Boltzmann weights in the ferroelectric phase, there exist boundary conditions such that local Markov chains require exponential time to converge to equilibrium. This is the first rig...More

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