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math.CO2020
Isotopy graphs of Latin tableaux
R. Karpman, É. Roldán
Latin tableaux are a generalization of Latin squares, which first appeared in the early 2000's in a paper of Chow, Fan, Goemans, and Vondrák. Here, we extend the notion of isotopy,…
math.PR2020
Topology and local geometry of the Eden model
Fedor Manin, Erika Roldan, Benjamin Schweinhart
The Eden cell growth model is a simple discrete stochastic process which produces a "blob" in : start with one cube in the regular grid, and at each time step add a n…
math.CO2020
Topology of random 2-dimensional cubical complexes
Matthew Kahle, Elliot Paquette, Érika Roldán
We study a natural model of random 2-dimensional cubical complex which is a subcomplex of an n-dimensional cube, and where every possible square -face is included independently…