3 papers
math.DS2026
Disguised complex balance via positive algebraic geometry
Stefan Müller, Abhishek Deshpande, Georg Regensburger
We study dynamical systems arising from reaction networks under mass-action kinetics. For certain choices of the rate constants (parameters), such systems are complex-balanced (ver…
math.DS2026
Decomposable and essentially univariate mass-action systems: Extensions of the deficiency one theorem
Abhishek Deshpande, Stefan Müller
The classical and extended deficiency one theorems by Feinberg apply to reaction networks with mass-action kinetics that have independent linkage classes or subnetworks, each with…
math.AG2026
Existence of a unique, nondegenerate solution to parametrized systems of generalized polynomial equations
Abhishek Deshpande, Stefan Müller
We consider parametrized systems of generalized polynomial equations (with real exponents) in positive variables, involving monomials with positive parameters; that is, $x\…