A
Alicia Dickenstein
Researcher at University of Buenos Aires
Publications - 139
Citations - 3414
Alicia Dickenstein is an academic researcher from University of Buenos Aires. The author has contributed to research in topics: Toric variety & Polynomial. The author has an hindex of 33, co-authored 137 publications receiving 3157 citations. Previous affiliations of Alicia Dickenstein include National Scientific and Technical Research Council & Facultad de Ciencias Exactas y Naturales.
Papers
More filters
Journal ArticleDOI
Toric dynamical systems
TL;DR: The basic theory of toric dynamical systems is developed in the context of computational algebraic geometry and it is shown that the associated moduli space is a toric variety, which has a unique point within each invariant polyhedron.
Posted Content
Toric dynamical systems
TL;DR: The toric dynamical systems are known as complex balancing mass action systems in the mathematical chemistry literature, where many of their remarkable properties have been established as mentioned in this paper, such as the steady state locus of a complex balancing system is a toric variety, which has a unique point within each invariant polyhedron.
Journal ArticleDOI
Chemical Reaction Systems with Toric Steady States
TL;DR: The main result gives sufficient conditions for a chemical reaction system to have toric steady states, and the capacity of such a system to exhibit positive steady states and multistationarity is analyzed.
Posted Content
Tropical Discriminants
TL;DR: In this article, the tropicalization of the dual variety of the projective toric variety given by an integer matrix A, is shown to coincide with the Minkowski sum of the row space of A and of the tropicalisation of the kernel of A, leading to an explicit positive formula for the extreme monomials of any A-discriminant.
Journal ArticleDOI
Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry
Stefan Müller,Elisenda Feliu,Georg Regensburger,Carsten Conradi,Anne Shiu,Alicia Dickenstein +5 more
TL;DR: In this article, the authors give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomial maps with arbitrary real exponents defined on the positive orthant.