9 citations
3 papers
math.AC2022★ 9 cited
On Łojasiewicz Inequalities and the Effective Putinar's Positivstellensatz
Lorenzo Baldi, Bernard Mourrain, Adam Parusinski
The representation of positive polynomials on a semi-algebraic set in terms of sums of squares is a central question in real algebraic geometry, which the Positivstellensatz answer…
q-bio.TO2022★ 1 cited
Influence of lung physical properties on its flow--volume curves using a detailed multi-scale mathematical model of the lung
Riccardo Di Dio, Michaël Brunengo, Benjamin Mauroy
We develop a mathematical model of the lung that can estimate independently the air flows and pressures in the upper bronchi. It accounts for the lung multi-scale properties and fo…
math.AG2022★ 2 cited
Orbit spaces of Weyl groups acting on compact tori: a unified and explicit polynomial description
Evelyne Hubert, Tobias Metzlaff, Cordian Riener
The Weyl group of a crystallographic root system has a nonlinear action on the compact torus. The orbit space of this action is a compact basic semi-algebraic set. We present a pol…