1 citations · 2 across the 6 of their papers we have counts for
7 papers
Numerical Elimination: Computing Complements of Real Hypersurfaces Using Pseudo-Witness Sets
Paul Breiding, John Cobb, Aviva K. Englander +6
Many hypersurfaces in algebraic geometry, such as discriminants, arise as the projection of another variety. The real complement of such a hypersurface decomposes into connected co…
A flux-based approach for analyzing the disguised toric locus of reaction networks
Balázs Boros, Gheorghe Craciun, Oskar Henriksson +2
Dynamical systems with polynomial right-hand sides are very important in various applications, e.g., in biochemistry and population dynamics. The mathematical study of these dynami…
The generic geometry of steady state varieties
Elisenda Feliu, Oskar Henriksson, Beatriz Pascual-Escudero
We answer several fundamental geometric questions about reaction networks with power-law kinetics, on topics such as generic finiteness of the number of steady states, robustness,…
Toric invariance of vertically parametrized systems
Elisenda Feliu, Oskar Henriksson
We consider the problem of deciding whether the solution sets of a parametrized polynomial system are toric in the sense that they admit a monomial parametrization. We focus on ver…
Maximum likelihood estimation of log-affine models using detailed-balanced reaction networks
Oskar Henriksson, Carlos Améndola, Jose Israel Rodriguez +1
A fundamental question in the field of molecular computation is what computational tasks a biochemical system can carry out. In this work, we focus on the problem of finding the ma…
A tropical method for solving parametrized polynomial systems
Paul Alexander Helminck, Oskar Henriksson, Yue Ren
We give a framework for constructing generically optimal homotopies for parametrized polynomial systems from tropical data. Here, generically optimal means that the number of paths…
Generic consistency and nondegeneracy of vertically parametrized systems
Elisenda Feliu, Oskar Henriksson, Beatriz Pascual-Escudero
We determine the generic consistency, dimension and nondegeneracy of the zero locus over , and of vertically parametrized systems: pa…