3 papers
math.AG2025
Tropical KP Theory on Banana Curves
Simonetta Abenda, Türkü Özlüm Çelik, Claudia Fevola +1
The Kadomtsev-Petviashvili (KP) equation is the cornerstone of integrable systems, whose solutions reflect deep connections in algebraic geometry. Banana curves are reducible ratio…
math.AG2021
Numerical reconstruction of curves from their Jacobians
Daniele Agostini, Türkü Özlüm Çelik, Demir Eken
We approach the Torelli problem of recostructing a curve from its Jacobian from a computational point of view. Following Dubrovin, we design a machinery to solve this problem effec…
math.OC2020
Wasserstein Distance to Independence Models
Türkü Özlüm Çelik, Asgar Jamneshan, Guido Montúfar +2
An independence model for discrete random variables is a Segre-Veronese variety in a probability simplex. Any metric on the set of joint states of the random variables induces a Wa…