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Modelling of LANDslides and generated earthQUAKES for detection and understanding of gravitational instabilities – LANDQUAKES
Gravitational instabilities such as debris flows and landslides play a key role in erosion processes on the Earth's surface and represent one of the major natural hazards threatening life and property in mountainous, volcanic, seismic and coastal areas. Despite the large amount of work devoted to th
Stochastic systems in mathematics and mathematical physics – STOSYMAP
The aim of this project is to unite efforts of three French teams working on mathematical aspects of turbulence in various physical media. Past successes to tackle turbulence mathematically have been scarce and analytic comprehension has been notoriously difficult. Going further requires new results
Optimal Transport and Image Multiphysics – TOMMI
Interpolating between two images is an old problem from image analysis, which finds applications for example to recover lost or damaged data in experiments films. It is also used in order to determine in which state the studied system could have been at some time when no observations were made. Imag
Facets of Discrete Groups. – DiscGroup
We propose to investigate the deep connections revealed by Sela that exist between the first-order logic of a group and its geometry by considering other notions of model theory (definable sets, forking, independence...), and by enlarging the classes of groups studied (relatively hyperbolic groups,
Surfaces and interfaces in manifolds: geometric and analytic aspects – INTERFACE
The main goal of the proposal is to characterize the global geometry of minimal and constant mean curvature surfaces in general manifolds. We wish to understand embedded minimal and CMC surfaces in all homogeneous manifolds (we expect a unified and global theory in all this spaces) and more generall
Multifractal Analysis and Applications in Image and Signal processing – AMATIS
Multifractal analysis has always been an interdisciplinary topic. A key purpose of the project is to develop a collaboration mixing mathematicians, physicists and researchers on signal and image processing in order to solve a few major scientific and technological challenges; the goal is to solve se
Ageing and Maintenance in reliability : Modelling and Statistical Inference – AMMSI
The aim of this project is to provide innovative methods and mathematical tools for the management of the ageing of industrial systems. This project lies at the interface between mathematics and industry. The type of research is both basic and industrial. The core of our programme is basic research
Actions and representations of mapping class groups – ModGroup
Study the mapping class group representations arising in quantum topology, their actions on various moduli spaces of geometric structures and the associated quantizations. There were several results obtained so far eg Witten's conjecture for many hyperbolic manifolds (Marche and coll) and the stu
Non selfadjoint operators, semi-classical analysis and evolution problems – NOSEVOL
We propose the 3 following main tasks: 1 - Eigenvalue problems, geometry and dynamics 2 - Scattering and resonances 3 - Modeling, pseudospectrum and evolution problems numerous articles have already been published by members of the project. One workshop (sept 2012) and a summer school (July
Geometric Structures and Triangulations – SGT
Unify the theory of spherical CR-structures and the theory of hyperbolic structures on 3-manifolds Preliminary results Theoretical understanding, List, in a systematic way, the solutions for a number of examples of 3-manifolds. None The central motivation for our project is to unify the theory of s
Estimation and MAnipulation at Quantum Scale – EMAQS
Manipulating the evolution of atoms and molecules at the quantum level has been a goal from the very beginnings of the laser technology. However, designing laser pulses based on intuition alone did not succeed until the researchers understood that this problem should be attacked with the tools of co
Statistical Calibration – Calibration
Recent advances of statistics have allowed for developments of powerful methodologies to analyze data from both the theoretical and the methodological point of view. However, the issue of calibrating the parameters involved in modern statistical procedures remains most of the time an open question,
Interactions between operator space theory and quantum probability with applications to quantum information – OSQPI
The interplay between operator spaces and quantum probability has started to emerge in the last years and shown to be more than fruitful. But applications of these theories to quantum information began to appear only very recently. Noncommutative Lp-spaces are at the intersection of these areas and
Geometry of convex and discrete measures – GeMeCoD
Computer scientists use more and more classical tools from functional analysis, convex geometry, harmonic analysis and probabilities in which we are experts. The historical prototype of such interactions is the hypercontractivity/log-Sobolev inequality, valid both in the Gaussian and the discrete fr
Multiscale Electroporation Modeling Validated by Experiments – MEMOVE
MEMOVE is an ambitious proposal that aims at developing new mathematical models, numerical tools as well as new experimental protocols to provide a complete understanding of the electropermeabilization from the cell to the tissue scale. The consortium is composed of four partners with complementary
Mathematical General Relativity. Analysis and geometry of spacetimes with low regularity – GR-Analysis-Geometry
This Research Project is devoted to several mathematical aspects of general relativity. Relying on a close collaboration between analysts and geometers, it is aimed at advancing our knowledge of the analytic and geometric properties of Einstein spacetimes, especially when the metrics under considera
Algebraic Homotopy, Operads and Grothendieck-Teichmüller groups – HOGT
The general purpose of this proposal is to explore new connections between operads, Grothendieck-Teichmüller groups and the theory of associators in view towards applications in algebra and in topology. Our first objective is the definition of suitable generalizations of the Grothendieck-Teichmülle
Mathematical And Numerical Issues in First-principle molecular simulation – MANIF
Molecular simulation based on electronic structure calculation (which is the principal component of computational quantum physics) aims at numerically investigating the physical properties of matter, and has a huge number of applications in the fields of chemistry, condensed matter physics, material
p-adic Hodge theory and beyond – ThéHopaD
This project lies in the area of arithmetic and algebraic geometry. It aims at advancing both arithmetic and geometric aspects of $p$-adic Hodge theory by focusing on two of the deepest and most challenging questions : the $p$-adic Langlands programme for the arithmetic side and the $p$-adic Simpso
Geometry and Dynamics of the Moduli Space – GeoDyM
The project “Geometry and Dynamics of the Moduli space” is a project in Mathematics. Having a core in dynamics, this project is located at the frontier between dynamics, geometry, algebraic geometry, topology, combinatorics, and representation theory. Certain classical problems of one-dimensional dy
Singularities of Trajectories of Analytic and Algebraic Vector Fields – STAAVF
This project focuses on the geometric behavior of trajectories of analytic vector fields, that is the solutions of ordinary differential equations with analytic coefficients. Ordinary differential equations arise in many different areas of science and much study has been devoted to understand