2 papers
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…