Large random tilings of a hexagon
 
 
Description: 

Large random tilings of a hexagon display the fascinating phenomenon of distinct asymptotic phases (frozen and rough, also referred to as solid and liquid), separated by a well-defined Arctic curve. In a weighted tiling model with periodically varying weights, a third phase (smooth, or gaseous) emerges, in which correlations between tiles decay at an exponential rate. After a general introduction, I will discuss an approach towards a rigorous analysis of a three-periodic hexagon tiling model. This involves matrix-valued orthogonal polynomials, Riemann-Hilbert problems, and steepest descent analysis on a Harnack curve. 

Date:  2025-09-15
Start Time:   15:30
Speaker:  Arno Kuijlaars (KU Leuven, Belgium)
Institution:  KU Leuven, Belgium
Place:  Online: https://www.mat.uc.pt/~pgsfop/activities.html
Organization:  at CMUC: Kenier Castillo
URL:  https://www.mat.uc.pt/~pgsfop/activities.html
See more:   <Main>   <Iberian Online Analysis Seminar>  
 
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