4 papers
Multiple cluster algebra structures for TCD maps I: theoretical framework
Niklas Affolter, Terrence George, Max Glick +1
We introduce triple crossing diagram (TCD) maps, which encode projective configurations of points and lines, as a unified framework for constructions arising in various areas of ge…
Freezing in the Infinite-Bin Model
Bastien Mallein, Sanjay Ramassamy, Arvind Singh
The infinite-bin model is a one-dimensional particle system on introduced by Foss and Konstantopoulos in relation with last passage percolation on complete directed ac…
Integrable dynamics in projective geometry via dimers and triple crossing diagram maps on the cylinder
Niklas Christoph Affolter, Terrence George, Sanjay Ramassamy
We introduce twisted triple crossing diagram maps, collections of points in projective space associated to bipartite graphs on the cylinder, and use them to provide geometric reali…
Wall-crossing phenomenon for the liquid bin model
Sanjay Ramassamy, Benjamin Terlat
We introduce the liquid bin model as a continuous-time deterministic dynamics, arising as the hydrodynamic limit of a discrete-time stochastic interacting particle system called th…