YoVDO

Geometry of the Doubly Periodic Aztec Dimer Model

Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube

Tags

Statistical Mechanics Courses Mathematical Physics Courses Dimer Model Courses Discrete Geometry Courses Gibbs Measures Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the geometry of the doubly periodic Aztec dimer model in this 50-minute conference talk presented by Tomas Berggren from the Massachusetts Institute of Technology at IPAM's Statistical Mechanics and Discrete Geometry Workshop. Delve into the complexities of the growing doubly periodic Aztec diamond dimer model, examining its arbitrary periodicity and edge weight conditions. Discover the three macroscopic regions - rough, smooth, and frozen - and learn how arctic curves, which form the boundaries between these regions, can be described using associated amoebas and action functions. Gain insights into the number of frozen and smooth regions, as well as the number of cusps on arctic curves. Investigate the convergence of local fluctuations to translation-invariant Gibbs measures in this joint work with Alexei Borodin, recorded on March 25, 2024, at the Institute for Pure & Applied Mathematics (IPAM) at UCLA.

Syllabus

Tomas Berggren - Geometry of the doubly periodic Aztec dimer model - IPAM at UCLA


Taught by

Institute for Pure & Applied Mathematics (IPAM)

Related Courses

The Discrete Charm of Geometry by Alexander Bobenko
International Centre for Theoretical Sciences via YouTube
Convex Sunflower Theorems and Neural Codes
Applied Algebraic Topology Network via YouTube
Rips Complexes, Projective Codes, and Zeros of Odd Maps
Applied Algebraic Topology Network via YouTube
Topological Methods in Discrete Geometry - New Developments
Applied Algebraic Topology Network via YouTube
Discrete Minimizers of Energy Integrals
Hausdorff Center for Mathematics via YouTube