4 papers
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…
The integro-differential closure of a commutative differential ring
Clemens G. Raab, Georg Regensburger
An integro-differential ring is a differential ring that is closed under an integration operation satisfying the fundamental theorem of calculus. Via the Newton--Leibniz formula, a…
Parametrized systems of generalized polynomial inequalitites via linear algebra and convex geometry
Stefan Müller, Georg Regensburger
We provide fundamental results on positive solutions to parametrized systems of generalized polynomial (with real exponents and positive parameters), includ…
Parametrized systems of generalized polynomial equations: first applications to fewnomials
Stefan Müller, Georg Regensburger
We consider positive solutions to parametrized systems of generalized polynomial equations (with real exponents and positive parameters). By a fundamental result obtained in parall…