22 citations · 44 across the 9 of their papers we have counts for
7 papers · 1 filter
T-embeddings as stationary measures on T-graphs
Mikhail Basok, Benoit Laslier, Marianna Russkikh
In this paper, we investigate the relation between t-embeddings and T-graphs associated with the same weighted planar bipartite graph. We prove that, given such a T-graph, the corr…
Harmonic functions on Tutte embeddings and linearized Monge-Ampère equation
Mikhail Basok, Dmitry Chelkak, Benoît Laslier +1
We prove convergence of solutions of Dirichlet problems and Green's functions on Tutte harmonic embeddings to those of the linearized Monge--Ampère equation . Mor…
Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond
Tomas Berggren, Marianna Russkikh
This paper explores the connection between perfect t-embeddings and the octahedron equation in the setting of the two-periodic Aztec diamond. In particular, we show that the positi…
Perfect t-embeddings of uniformly weighted Aztec diamonds and tower graphs
Tomas Berggren, Matthew Nicoletti, Marianna Russkikh
In this work we study a sequence of perfect t-embeddings of uniformly weighted Aztec diamonds. We show that these perfect t-embeddings can be used to prove convergence of gradients…
Dimers and Circle patterns
Richard Kenyon, Wai Yeung Lam, Sanjay Ramassamy +1
We establish a correspondence between the dimer model on a bipartite graph and a circle pattern with the combinatorics of that graph, which holds for graphs that are either planar…
Dominos in hedgehog domains
Marianna Russkikh
We introduce a new class of discrete approximations of planar domains that we call "hedgehog domains". In particular, this class of approximations contains two-step Aztec diamonds…
Dimers in piecewise Temperleyan domains
Marianna Russkikh
We study the large-scale behavior of the height function in the dimer model on the square lattice. Richard Kenyon has shown that the fluctuations of the height function on Temperle…