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20092021
most citedTwo-Dimensional Almost-Riemannian Structures with Tangency Points

52 citations · 59 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.OC2021★ 3 cited

Regularity theory and geometry of unbalanced optimal transport

Thomas Gallouët, Roberta Ghezzi, François-Xavier Vialard

Using the dual formulation only, we show that the regularity of unbalanced optimal transport also called entropy-transport inherits from the regularity of standard optimal transpor…

math.OC2013★ 1 cited

Optimal control of a bioreactor for biofuel production

Roberta Ghezzi, Benedetto Piccoli

Dynamic flux balance analysis of a bioreactor is based on the coupling between a dynamic problem, which models the evolution of biomass, feeding substrates and metabolites, and a l…

math.OC2013★ 2 cited

Regularization of chattering phenomena via bounded variation control

Marco Caponigro, Roberta Ghezzi, Benedetto Piccoli +1

In control theory, the term chattering is used to refer to strong oscillations of controls, such as an infinite number of switchings over a compact interval of times. In this paper…

math.OC2010

The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry

Bernard Bonnard, Grégoire Charlot, Roberta Ghezzi +1

We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Riemannian geometry. We compute estimations of the…

math.OC2010

Normal forms and invariants for 2-dimensional almost-Riemannian structures

Ugo Boscain, Grégoire Charlot, Roberta Ghezzi

Two-dimensional almost-Riemannian structures are generalized Riemannian structures on surfaces for which a local orthonormal frame is given by a Lie bracket generating pair of vect…

math.OC2010

Lipschitz classification of almost-Riemannian distances on compact oriented surfaces

Ugo Boscain, Grégoire Charlot, Roberta Ghezzi +1

Two-dimensional almost-Riemannian structures are generalized Riemannian structures on surfaces for which a local orthonormal frame is given by a Lie bracket generating pair of vect…