From the 1 of 5.5k papers with an AI index.
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15 papers · 2 filters
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 the gap between deterministic and probabilistic Lyapunov exponents for continuous-time linear systems
Yacine Chitour, Guilherme Mazanti, Pierre Monmarché +1
Consider a non-autonomous continuous-time linear system in which the time-dependent matrix determining the dynamics is piecewise constant and takes finitely many values $A_1, \dots…
Stability, Delays and Multiple Characteristic Roots in Dynamical Systems: A Guided Tour
Silviu-Iulian Niculescu, Islam Boussaada, Xu-Guang Li +2
This paper presents a guided tour of some specific problems encountered in the stability analysis of linear dynamical systems including delays in their systems' representation. Mor…
Consensus Formation in First-Order Graphon Models with Time-Varying Topologies
Benoît Bonnet, Nastassia Pouradier Duteil, Mario Sigalotti
In this article, we investigate the asymptotic formation of consensus for several classes of time-dependent cooperative graphon dynamics. After motivating the use of this type of m…
Nonsmooth mean field games with state constraints
Saeed Sadeghi Arjmand, Guilherme Mazanti
In this paper, we consider a mean field game model inspired by crowd motion where agents aim to reach a closed set, called target set, in minimal time. Congestion phenomena are mod…
On the characterization of equilibria of nonsmooth minimal-time mean field games with state constraints
Saeed Sadeghi Arjmand, Guilherme Mazanti
In this paper, we consider a first-order deterministic mean field game model inspired by crowd motion in which agents moving in a given domain aim to reach a given target set in mi…