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The Ricci curvature plays an important role in Geometry and has lately been linked with the Optimal transportation theory. First by G.~Perelman's proof of the Poincaré conjecture using the Ricci-flow and citing Bakry and Emery's work on ``Diffusions hypercontractives''. Secondly by a serie of pa

The goal of this project is to bring together mathematicians with different backgrounds: symplectic geometry for V. Humilière and E. Opshtein, topological dynamical systems for F. Le Roux. The goal is to study some problems where these two subjects interact. In particular we are interested in two pr

The aim of our project was to develop the four following research directions: - Multifractales and Diophantine approximation. - Large intersection properties, - Links with Dynamical Systems, - Development of new multifractal models J. Barral supervise a PhD student since 2011 on multifractal a

There is a long history of interaction between descriptive set theory and model theory, via the study of closed subgroups of S8, the permutation group of the integers. Recently, Kechris and Rosendal used model-theoretic techniques to classsify subgroups of S8 with ample generics. Similarly, Kechris

From the financial point of view, the purpose of this proposal is to take into consideration liquidity market frictions and risk management constraints in hedging and optimal allocation problems. From the mathematical point of view, this requires new researches on statistics for random processes, th

Advance in studying conservation laws (see the scientific document), strengthen the local collaboration and further develop exterior collaborations New results were obtained for the following problems: error and structural stability estimates for fractional conservation laws with hyperbolic degene

The project is centered on the study of Gaussian Multiplicative Chaos. This theory, initiated by J.P. Kahane in 1985, has recently found numerous applications in fundamental mathematics (Quantum gravity in dimension 2, conformal invariance), in the physics of Turbulence and Finance. This project, at

The study of these two groups has long been conducted separately, guided by varying interests and approaches. However, many recent results, both in algebraic geometry, group theory and holomorphic dynamics reveal a profound analogy between the two subjects both at the levels of known results essenti

We investigate various models for cell polarisation in various experimental contexts. The models mainly concern the budding yeast Saccharomyces cerevisiae and to a less extent the fission yeast Schizosaccharomyces pombe. Interestingly, the budding yeast may be subject to spontaneous polarisation (We

The project VasKho articulates around the two major theories which revolutionized knot theory over the past twenty years, namely the notions of finite-type invariants and categorification. On one hand, the theory of finite-type invariants, initiated by Goussarov and Vassiliev, provides a unified fra

This project aims to use Fourier Analysis in order to study nonlinear PDEs. Mainly we are interested in two different kind of problems: - Bilinear time-frequency analysis (boundedness of bilinear operators) and applications for nonlinear dispersive PDEs. - Study of PDEs coming from fluids mech

The goals of the first six months were 1- find a postdoctoral teamate 2- set-up the code infrastructure (data management, visualisation, etc.) GMSH seems the most appropriate one especially because the principal investigator of this project (Rao Garimella, Los Alamos National Laboratory) is willin