Khelifi, Abdessatar

In this paper we consider solutions to the perturbed Maxwell's equations in R d , for d = 2, 3. For such solutions we provide a complete asymptotic expansions of the (geometric) perturbations resulting from the presence of diametrically small heterogeneity with parameters different from the background medium. Our derivation is rigorous and is based...

Ahmed, Mohamed Salem Broze, Laurence Dabo-Niang, Sophie Gharbi, Zied

International audience

Dabo-Niang, Sophie Ternynck, Camille Thiam, Baba Yao, Jingjing

International audience

Graczyk, Piotr Sawyer, P

In this article, we consider flat and curved Riemannian symmetric spaces in the complex case and we study their basic integral kernels, in potential and spherical analysis: heat, Newton, Poisson kernels and spherical functions, i.e. the kernel of the spherical Fourier transform. We introduce and exploit a simple new method of construction of these ...

Doncel, Josu Gast, Nicolas Gaujal, Bruno

In this paper, we analyze a mean-field game model of SIR dynamics (Susceptible, Infected, Recovered) where players can vaccinate. This game admits a unique mean-field equilibrium: The equilibrium strategy of each player is to vaccinate until the proportion of susceptible players drops below some threshold and stop vaccinating thereafter. We also sh...

Chenavaz, Régis Paraschiv, Corina Turinici, Gabriel

Dynamic pricing of new products has been extensively studied in monopolistic and oligopolistic markets. But, the optimal control and differential game tools used to investigate the pricing behavior on markets with a finite number of firms are not well-suited to model competitive markets with an infinity of firms. Using a mean-field games approach, ...

Ciarletta, Pasquale Destrade, Michel Gower, Artur L. Taffetani, Matteo

Many interesting shapes appearing in the biological world are formed by the onset of mechanical instability. In this work we consider how the build-up of residual stress can cause a solid to buckle. In all past studies a fictitious (virtual) stress-free state was required to calculate the residual stress. In contrast, we use a model which is simple...

Gandolfo, Daniel Maes, Christian Ruiz, Jean Shlosman, Senya

We consider the ferromagnetic Ising model on the Cayley tree and we investigate the decomposition of the free state into extremal states below the spin glass temperature. We show that this decomposition has uncountably many components. The tail observable showing that the free state is not extremal is related to the Edwards-Anderson parameter, meas...

Paul, Thierry

Repetition, Seriality, Temporality are among concepts that undoubtedly refer, in mathematics, to the famous questioning on realism. Repetition highlights identity and non-identity, seriality questions the possibility of decomposition of sequences into identical ones, and temporality addresses the phenomenon of successive actions. The three of them ...

Milio, Enea Robert, Damien

We describe an evaluation/interpolation approach to compute modular polynomials on a Hilbert surface, which parametrizes abelian surfaces with maximal real multiplication. Under some heuristics we obtain a quasi-linear algorithm. The corresponding modular polynomials are much smaller than the ones on the Siegel threefold. We explain how to compute ...