Geometry, Universality and Beltrami Complex Structure for Scaling Limits of Random Dimer Coverings
The Analysis and Geometry of Random Spaces March 28, 2022  April 01, 2022
Location: SLMath: Eisenbud Auditorium, Online/Virtual
34D35  Stability of manifolds of solutions to ordinary differential equations
57K50  Lowdimensional manifolds of specific dimension 5 or higher
Geometry, Universality And Beltrami Complex Structure For Scaling Limits Of Random Dimer Coverings
Under suitable boundary conditions, scaling limits of random tilings present surprising geometric features: one observes definite deterministic and disordered (or frozen and liquid) limit configurations with interesting geometric properties.
In this talk we will show how with properties of the Beltrami equation it is possible to understand, for all dimer models and even beyond, the geometry of the boundary between the frozen/deterministic and liquid/random phase. It turns out that in this class the geometry frozen boundaries is universal, i.e. independent of the specific model.
The talk is based on a joint work with E. Duse, I. Prause and X. Zhong.
Geometry, Universality and Beltrami Complex Structure for Scaling Limits of Random Dimer Coverings

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Geometry, Universality And Beltrami Complex Structure For Scaling Limits Of Random Dimer Coverings
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