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Renormalisation and limit theorems in ergodic theory (VALET=Vershik's automorphisms, limits in ergodic theory) – VALET
The project ``Renormalisation and limit theorem in ergodic theory'' is a project in Mathematics. Having a core in dynamics, this project is located at the frontier between dynamics, geometry, algebraic geometry, combinatorics, and representation theory. Consider an ergodic measure-preserving flo
Mathematical models for evolutionary biology – MODEVOL
Theoretical models have always played an important role in evolutionary biology, since experimental results are often difficult to obtain. Thanks to the rapid evolution of experimental methods as well as new areas of interest emerging from medical, societal or ecological applications, increasingly c
Contact spectral invariants – cospin
In 1985, Gromov discovered that a ball in Euclidean space cannot be symplectically embedded into a thin cylinder. This non-squeezing theorem has been the first result showing a clear difference between volume-preserving transformations and symplectic ones, and is often indicated as the starting poin
Geometrical approach for Porous media flows: theory and numerics – GEOPOR
The GeoPor project proposal aims to gather experienced and promising researchers from different fields of mathematics, more precisely optimal transportation for the analysis of partial differential equations (PDEs) and numerical analysis, for studying the equations governing multi-phase flows in po
Inverse Problems – iproblems
Inverse problems is a field in full expansion as shown by the numerous resident programs hosted in the different research institutes throughout the world, the several striking breakthroughs achieved in the past recent years and the flow of PhD students attracted by the subject. Strong groups and sch
Geometric aspects of game theory – GAGA
Game theory is the mathematical language for studying strategic interactions between agents, be they humans, firms, bacteria, or even computers. This is a rapidly developing subject, with growing applications in economics, social sciences, computer sciences, evolutionary biology and engineering.
Numerical Schemes using Lattice Basis Reduction – NS-LBR
We will focus on the setting where at least one of the operators involved in the PDE is anisotropic, in the sense that it involves position dependent, non axis- aligned, privileged directions. Grid discretizations are natural in medical image or volume processing, and numerous fundamental isotropic
Mixture-based procedures for statistical analysis of RNA-seq data – MixStatSeq
In recent years, significant advances in next generation sequencing technologies have made RNA sequencing (RNA-seq) a popular choice for studies of gene expression. Although microarrays and RNA-seq both aim to characterize transcriptional activity, the statistical tools developed for the analysis of
Iso-Galoisian deformations of holomorphic foliations – Iso-Galois
This proposal in pure mathematics is dedicated to a subfield of holomorphic dynamics and differential geometry, namely holomorphic foliations. Already in the nineteenth century, P. Painlevé, studying the properties of solutions of holomorphic differential equations in the complex field, saw the nece
Mathematical methods for the many-body problem in statistical and quantum mechanics – MaThoStaQ
The goal of this project is to elaborate mathematical methods applicable to various physical situations in which a large number of interacting particles are involved. The main difficulty in the study of the many-body problem is the possibility that particles be correlated in a complicated manner in