1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
Colored Line Ensembles for Stochastic Vertex Models
Amol Aggarwal, Alexei Borodin
In this paper we assign a family of coupled line ensembles to any colored stochastic fused vertex model, which satisfies two properties. F…
Coloured corner processes from asymptotics of LLT polynomials
Amol Aggarwal, Alexei Borodin, Michael Wheeler
We consider probability measures arising from the Cauchy summation identity for the LLT (Lascoux--Leclerc--Thibon) symmetric polynomials of rank . We study the asymptotic…