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20232026
most citedColored Line Ensembles for Stochastic Vertex Models

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math.PR2026

Mixing times for Glauber dynamics of lozenge tilings of the hexagon

Amol Aggarwal, Fabio Toninelli

We prove that the continuous-time, single-flip Glauber dynamics for lozenge tilings of the size- hexagon mix in time . This was predicted to hold on fairly general d…

cond-mat.str-el2026

Exactly Solvable Topological Phase Transition in a Quantum Dimer Model

Laura Shou, Jeet Shah, Matthew Lerner-Brecher +3

We consider a family of generalized Rokhsar-Kivelson (RK) Hamiltonians, which are reverse-engineered to have an arbitrary edge-weighted superposition of dimer coverings as their ex…