25 citations · 225 across the 54 of their papers we have counts for
4 papers · 1 filter
The dimer model and dynamical incidence geometry
Anton Izosimov, Pavlo Pylyavskyy
We propose a geometric counterpart of the dimer model on bipartite graphs. A state of our model consists of a choice of a point for each white vertex and hyperplane for each black…
Kirillov-Reshetikhin Dual Equivalence Graphs
Joseph McDonough, Pavlo Pylyavskyy, Shiyun Wang
Let be a tensor product of highest weight modules of corresponding to multiples of fundamental weights (i.e. rectangles). We consider three ways to stratify $…
Correlations in random cluster model at
Son Nguyen, Pavlo Pylyavskyy
Let be a measure that samples a subset of a finite ground set, and let be the event that element is sampled. The measure is negatively correlated if for…
Incidences, tilings, and fields
P. Pylyavskyy, M. Skopenkov
The master theorem, introduced by Richter-Gebert and generalized by Fomin and the first author, provides a method for proving incidence theorems of projective geometry using triang…