22 citations · 106 across the 24 of their papers we have counts for
4 papers · 1 filter
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…
Laminations of a graph on a pair of pants
Sanjay Ramassamy
A lamination of a graph embedded on a surface is a collection of pairwise disjoint non-contractible simple closed curves drawn on the graph. In the case when the surface is a spher…
Extensions of partial cyclic orders and consecutive coordinate polytopes
Arvind Ayyer, Matthieu Josuat-Vergès, Sanjay Ramassamy
We introduce several classes of polytopes contained in and cut out by inequalities involving sums of consecutive coordinates. We show that the normalized volumes of these…
A first integrability result for Miquel dynamics
Alexey Glutsyuk, Sanjay Ramassamy
Miquel dynamics is a discrete-time dynamical system on the space of square-grid circle patterns. For biperiodic circle patterns with both periods equal to two, we show that the dyn…