52 citations · 59 across the 9 of their papers we have counts for
14 papers
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…
On measures in sub-Riemannian geometry
Roberta Ghezzi, Frédéric Jean
In \cite{gjha} we give a detailed analysis of spherical Hausdorff measures on sub-Riemannian manifolds in a general framework, that is, without the assumption of equiregularity. Th…
Hausdorff volume in non equiregular sub-Riemannian manifolds
Roberta Ghezzi, Frédéric Jean
In this paper we study the Hausdorff volume in a non equiregular sub-Riemannian manifold and we compare it with a smooth volume. We first give the Lebesgue decomposition of the Hau…
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…
BV functions and sets of finite perimeter in sub-Riemannian manifolds
Luigi Ambrosio, Roberta Ghezzi, Valentino Magnani
We give a notion of BV function on an oriented manifold where a volume form and a family of lower semicontinuous quadratic forms are given. When we consi…
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…
Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds
Roberta Ghezzi, Frédéric Jean
This paper is a starting point towards computing the Hausdorff dimension of submanifolds and the Hausdorff volume of small balls in a sub-Riemannian manifold with singular points.…
On Almost-Riemannian Surfaces
Roberta Ghezzi
An almost-Riemannian structure on a surface is a generalized Riemannian structure whose local orthonormal frames are given by Lie bracket generating pairs of vector fields that can…
A new class of -rectifiable subsets of metric spaces
Roberta Ghezzi, Frédéric Jean
The main motivation of this paper arises from the study of Carnot-Carathéodory spaces, where the class of 1-rectifiable sets does not contain smooth non-horizontal curves; therefor…
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…
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…
On a class of vector fields with discontinuity of divide-by-zero type and its applications
Roberta Ghezzi, Alexey Remizov
We study phase portraits and singular points of vector fields of a special type, that is, vector fields whose components are fractions with a common denominator vanishing on a smoo…
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…
Two-Dimensional Almost-Riemannian Structures with Tangency Points
Andrei Agrachev, Ugo Boscain, Grégoire Charlot +2
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…