22 citations · 44 across the 9 of their papers we have counts for
5 papers · 1 filter
Perfect t-embeddings of doubly periodic Aztec diamonds
Tomas Berggren, Matthew Nicoletti, Marianna Russkikh
We study the large-scale geometry of t-surfaces -- pairs of perfect t-embeddings and their associated origami maps -- arising from dimer models on Aztec diamonds with periodic edge…
Perfect t-embeddings and Lozenge Tilings
Tomas Berggren, Matthew Nicoletti, Marianna Russkikh
We construct perfect t-embeddings for regular hexagons of the hexagonal lattice, providing the first example, and hence proving existence, for graphs with an outer face of degree g…
Bipartite dimer model: perfect t-embeddings and Lorentz-minimal surfaces
Dmitry Chelkak, Benoît Laslier, Marianna Russkikh
This is the second paper in the series devoted to the study of the dimer model on t-embeddings of planar bipartite graphs. We introduce the notion of perfect t-embeddings and assum…
Lozenge tilings and the Gaussian free field on a cylinder
Andrew Ahn, Marianna Russkikh, Roger Van Peski
We use the periodic Schur process, introduced in arXiv:math/0601019v1, to study the random height function of lozenge tilings (equivalently, dimers) on an infinite cylinder distrib…
Dimer model and holomorphic functions on t-embeddings of planar graphs
Dmitry Chelkak, Benoît Laslier, Marianna Russkikh
We introduce the framework of discrete holomorphic functions on t-embeddings of weighted bipartite planar graphs; t-embeddings also appeared under the name Coulomb gauges in a rece…