Amol Aggarwal

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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- $N$ hexagon mix in time $N^{2 + o (1)}$ . This was predicted to hold on fairly general d…

math.PR2024

Colored Line Ensembles for Stochastic Vertex Models

Amol Aggarwal, Alexei Borodin

In this paper we assign a family of $n$ coupled line ensembles to any $U_{q} (sl_{n + 1})$ colored stochastic fused vertex model, which satisfies two properties. F…