Zobrazeno 1 - 10
of 160
pro vyhledávání: '"Amini, Omid"'
A level graph is the data of a pair $(G,\pi)$ consisting of a finite graph $G$ and an ordered partition $\pi$ on the set of vertices of $G$. To each level graph on $n$ vertices we associate a polytope in $\mathbb R^n$ called its residue polytope. We
Externí odkaz:
http://arxiv.org/abs/2410.13554
We describe the limits of canonical series along families of curves degenerating to a nodal curve which is general for its topology, in the weak sense that the branches over nodes on each of its components are in general position. We define a fan str
Externí odkaz:
http://arxiv.org/abs/2410.13543
Autor:
Amini, Omid, Piquerez, Matthieu
We say that a tropical fan is homologically smooth if each of its open subsets verify tropical Poincare duality. A tropical homology manifold is a tropical variety that is locally modelled by open subsets of homologically smooth tropical fans. We sho
Externí odkaz:
http://arxiv.org/abs/2405.05718
Autor:
Amini, Omid, Piquerez, Matthieu
We prove that the Chow ring of any simplicial fan is isomorphic to the middle degree part of the tropical cohomology ring of its canonical compactification. Using this result, we prove a tropical analogue of Kleiman's criterion of ampleness for fans.
Externí odkaz:
http://arxiv.org/abs/2405.05014
Autor:
Amini, Omid, Esteves, Eduardo
We show that tropicalization of linear series on curves gives rise to two-parameter families of tilings by polymatroids, with one parameter arising from the theory of divisors on tropical curves and the other from the reduction of linear series of ra
Externí odkaz:
http://arxiv.org/abs/2405.04306
Autor:
Amini, Omid, Gierczak, Lucas
We introduce combinatorial objects named matricubes that provide a generalization of the theory of matroids. As matroids provide a combinatorial axiomatization of hyperplane arrangements, matricubes provide a combinatorial axiomatization of arrangeme
Externí odkaz:
http://arxiv.org/abs/2404.01971
Soccer Simulation 2D (SS2D) is a simulation of a real soccer game in two dimensions. In soccer, passing behavior is an essential action for keeping the ball in possession of our team and creating goal opportunities. Similarly, for SS2D, predicting th
Externí odkaz:
http://arxiv.org/abs/2401.03410
Autor:
Zare, Nader, Amini, Omid, Sayareh, Aref, Sarvmaili, Mahtab, Firouzkouhi, Arad, Matwin, Stan, Soares, Amilcar
The RoboCup competition was started in 1997, and is known as the oldest RoboCup league. The RoboCup 2D Soccer Simulation League is a stochastic, partially observable soccer environment in which 24 autonomous agents play on two opposing teams. In this
Externí odkaz:
http://arxiv.org/abs/2401.03406
Autor:
Amini, Omid, Piquerez, Matthieu
This paper is the first in a series devoted to the development of a Hodge theory for tropical varieties. We introduce a notion of T-stability for tropical fans and prove that various geometric properties of tropical fans are T-stable. As a consequenc
Externí odkaz:
http://arxiv.org/abs/2310.15367
Autor:
Amini, Omid, Nicolussi, Noema
We introduce higher rank inner products on real and complex vector spaces and study their corresponding Voronoi tilings. We use the framework to describe metric degenerations of polarized tori and Hausdorff limits of Voronoi tilings of discrete sets.
Externí odkaz:
http://arxiv.org/abs/2310.06523