Propositions de sujet de thèse

Stochastic homogenization of water waves

Mots clés : stochastic homogenization, hyperbolic equations, random differential operator, Anderson localization

Laboratoire : Laboratoire Jacques-Louis Lions

Nom du contact : Antoine Gloria

Site Web : https://www.ljll.math.upmc.fr/~gloria/index.html

Frame flows and holonomy in negative curvature

Mots clés : Dynamical systems, frame flows, holonomy, microlocal analysis, algebraic topology

Laboratoire : Institut de Mathématiques de Jussieu-Paris Rive Gauche

Nom du contact : Thibault Lefeuvre

Site Web : https://thibaultlefeuvre.blog/

Generalized Langevin diffusion for sampling and effective dynamics

Mots clés : stochastic differential equation, Markov Chain Monte Carlo, coarse-grained models, molecular dynamics

Laboratoire : Laboratoire Jacques-Louis Lions

Nom du contact : Pierre Monmarché

Site Web : https://www.ljll.math.upmc.fr/~monmarche/

Computational methods for multiscale problems

Mots clés : Highly oscillatory PDEs, Homogenization, Galerkin methods

Laboratoire : INRIA Paris, Equipe MATHERIALS , (CERMICS, Ecole Nationale des Ponts et Chaussées)

Nom du contact : Frederic Legoll and Claude Le Bris

Site Web : http://cermics.enpc.fr/~legoll/home_eng.html

Homogenization problems for various PDEs in the presence of defects

Mots clés : highly oscillatory PDEs, homogenization, Hamilton-Jacobi equations, defects

Laboratoire : laboratoire Jacques-Louis Lions

Nom du contact : Yves Achdou, Xavier Blanc, Claude Le Bris

Site Web :

PhD proposals at the Research Institute on the Foundations of Computer Science (IRIF)

Mots clés : Algorithms, their design and analysis, automata theory and applications, combinatorics, complex systems, complexity, computational formalisms, distributed computation, foundations of programming languages, interactive proof assistants, graph theory.

Laboratoire : IRIF

Nom du contact : See list in the web page below.

Site Web : https://www.irif.fr/postes/these

Crohn-AI : Leveraging integrated medical records (clinical, histological, molecular parameters) as explainable Artificial Intelligence to identify Crohn Disease patients with high risk of severe disease and treatment failure.

Mots clés : Crohn's disease, computational histopathology, whole slide image analysis, molecular parameters, deep learning, explainable artificial intelligence, risk factors, big data analytics.

Laboratoire : Inria - Aramis Lab, Institut du Cerveau, Paris

Nom du contact : Daniel Racoceanu

Site Web : https://www.aramislab.fr/

Ergodicity breaking in systems of coupled piecewise expanding maps

Mots clés : Dynamical Systems, Network dynamics, Collective dynamics

Laboratoire : LPSM

Nom du contact : Bastien Fernandez

Site Web : http://bastienfernandez.perso.math.cnrs.fr/Home.html

Control design for a hybrid quantum device: mechanical oscillator coupled to superconducting circuit

Mots clés : quantum control

Laboratoire : Inria-Paris QUANTIC teams

Nom du contact : Alain Sarlette

Site Web : https://quantic.phys.ens.fr

Model-order reduction for parametric Stochastic Differential Equationss

Mots clés : Model reduction, stochastic differential equations

Laboratoire : MATHERIALS team-project, INRIA Paris & CERMICS, Ecole des Ponts ParisTech

Nom du contact : Virginie Ehrlacher

Site Web : https://team.inria.fr/matherials/

Optimal transport for quantum chemistry

Mots clés : Optimal transport, quantum chemistry

Laboratoire : MATHERIALS team-project, INRIA Paris & CERMICS, Ecole des Ponts ParisTech

Nom du contact : Virginie Ehrlacher

Site Web : https://team.inria.fr/matherials/

Dynamic Games with long duration

Mots clés : Discrete-time Stochastic Games; Differential Games; Hamilton-Jacobi equations

Laboratoire : CEREMADE, Paris Dauphine University

Nom du contact : BRUNO ZILIOTTO

Site Web : https://sites.google.com/site/ziliottobruno/