• Digital World and Robotics

The Paul Painlevé Laboratory (LPP)

Research unit - UMR 8524

Description

Our research covers virtually the entire spectrum of fundamental and applied mathematics. Our main topics include geometric analysis, functional analysis, numerical analysis, theory of partial differential equations, geometry, topology, arithmetic, mathematical physics, random matrix theory, probability and statistics in the broad sense, and statistical learning. Our laboratory is structured in five teams: Analysis (Ana), Numerical Analysis and Partial Differential Equations (AN-EDP), Arithmetic and Algebraic Geometry (AGA), Geometry and Topology (GT) and Probability and Statistics (PS). We also have three joint project teams with Inria, Modal, Paradyse and Rapsodi.

Contacts

  • Benoît Fresse
    Director
  • Nicolas Wicker

Informations

Bâtiment M2, Avenue Carl Gauss
Campus Cité scientifique
59655 VILLENEUVE D’ASCQ

https://math.univ-lille.fr

The Paul Painlevé Laboratory

Effectif

Effectif total : 223

Personnel de recherche : 165

Personnel d'appui à la recherche : 13

Expertises

Skills

• Algebraic geometry
• Topology
• Singular complex spaces in geometry
• Statistics
• Functional analysis
• Numerical analysis
• Complex analysis
• Random matrices in probability
• Dynamical systems
• Representation theory
• Nonlinear dynamics
• Quantum chaos
• Nonlinear optics
• Probabilistic modeling
• Statistical modeling

Example(s) of projects

• Numerical Simulation of Corrosion 🡭
• Functional Data Classification, application to dysfunction detection 🡭

Example(s) of publications

• Exposant de Lyapunov sur les feuilletages génériques de CP2 (Nguyen Viêt Anh, Invent. Math. 212, 2018).
• Estimées de Sogge de la croissance des fonctions propres du laplacien (G. Rivière et H. Hezari, Adv. Math. 290, 2016).
• Construction de l’intégrale motivique en caractéristique mixte (R. Cluckers et F. Loeser, J. Reine Angew. Math. 701, 2015).
• Déformations par bandelettes de surfaces hyperboliques (F. Guéritaud, F. Kassel et G. Danciger, Invent. Math. 204).
• Inégalités de transport entropie en probabilités libres (M. Maïda et E. Maurel-Segala, Probab. Theory and Related Fields 159, 2014).

Discover the full list of publications here.

Collaborations/Partners/Scientific clients

Fields Institute (Canada), University of Bristol (UK), University of Aberdeen (UK), University of Leuven (Belgium), University of Louvain-la-Neuve (Belgium), Max-Planck Institute (Germany), SISSA (Italy)

Services offers

Applications sectors

  • Biotechnology
  • Energy
  • Health / wellness
  • Automotive industry
  • Transportation / Logistics
  • Electronic / photonics
  • Agriculture
  • Education / Training
  • Trade / Retail
  • Science / Research
  • Bank / Insurance / Finance

Services provided

• Development of statistical models for data analysis and prediction
• Predictive models for large and biased data.
• Supervised and unsupervised classification in the presence of time-varying descriptors
• Treatment of missing data
• Spatial statistics
• Artificial intelligence for video games
• Optimization
• PDE analysis, application to fluid mechanics, inverse problems
• Numerical analysis
• Numerical methods and scientific computing

Consulting services

We provide consulting services related to all our areas of expertise.

Equipments

We have a research library in mathematics (B2RM) and computer equipment (calculation, networks, data, virtualization).

Ecosystem

Affiliated institutions / organisations

University of Lille
CNRS

Partner institution(s)

INRIA

Groups/Networks/Federations

FR 2037 FMHF - Fédération de Recherche Mathématique des Hauts-de-France
Réseau CIME - Centre d’Interactions Mathématiques – Entreprises

Equipex/EquipEx+/ESR

Doctoral schools

Regional strategic areas of activity

  • Digital World and Robotics

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Thematics

Current thematics

  • Digital World and Robotics
Title

Current content

The Paul Painlevé Laboratory
Type

Current content

Research unit
Description

Current content

Our research covers virtually the entire spectrum of fundamental and applied mathematics. Our main topics include geometric analysis, functional analysis, numerical analysis, theory of partial differential equations, geometry, topology, arithmetic, mathematical physics, random matrix theory, probability and statistics in the broad sense, and statistical learning. Our laboratory is structured in five teams: Analysis (Ana), Numerical Analysis and Partial Differential Equations (AN-EDP), Arithmetic and Algebraic Geometry (AGA), Geometry and Topology (GT) and Probability and Statistics (PS). We also have three joint project teams with Inria, Modal, Paradyse and Rapsodi.
Contact informations
Contact

Current content

Contact name Email phone number
FRESSE Benoît direction-painleve@univ-lille.fr (+33) 3 20 43 45 71
WICKER Nicolas nicolas.wicker@univ-lille.fr (+33) 3 20 43 42 26
URL

Current content

https://math.univ-lille.fr

Address

Current content

Bâtiment M2, Avenue Carl Gauss
Campus Cité scientifique
59655 VILLENEUVE D’ASCQ
Keywords

Current content

mathematical analysis, numerical analysis, partial differential equations, arithmetic, algebraic geometry, topology geometry, probability, statistics
Our search domains
Skills

Current content

• Algebraic geometry • Topology • Singular complex spaces in geometry • Statistics • Functional analysis • Numerical analysis • Complex analysis • Random matrices in probability • Dynamical systems • Representation theory • Nonlinear dynamics • Quantum chaos • Nonlinear optics • Probabilistic modeling • Statistical modeling
Workforce

Current content

Nombre de chercheurs : 165
Nombre de doctorants :
Nombre de personnel d'appui à la recherche : 13
Effectif total : 223
Example(s) of projects

Current content

• Numerical Simulation of Corrosion 🡭 • Functional Data Classification, application to dysfunction detection 🡭
Example(s) of publications

Current content

• Exposant de Lyapunov sur les feuilletages génériques de CP2 (Nguyen Viêt Anh, Invent. Math. 212, 2018). • Estimées de Sogge de la croissance des fonctions propres du laplacien (G. Rivière et H. Hezari, Adv. Math. 290, 2016). • Construction de l’intégrale motivique en caractéristique mixte (R. Cluckers et F. Loeser, J. Reine Angew. Math. 701, 2015). • Déformations par bandelettes de surfaces hyperboliques (F. Guéritaud, F. Kassel et G. Danciger, Invent. Math. 204). • Inégalités de transport entropie en probabilités libres (M. Maïda et E. Maurel-Segala, Probab. Theory and Related Fields 159, 2014). Discover the full list of publications here.
Collaborations/Partners/Scientific clients

Current content

Fields Institute (Canada), University of Bristol (UK), University of Aberdeen (UK), University of Leuven (Belgium), University of Louvain-la-Neuve (Belgium), Max-Planck Institute (Germany), SISSA (Italy)
Collaborations/Partners/Private Clients

Current content

Services offers
Training offers

Current content

Services offers

Current content

• Development of statistical models for data analysis and prediction • Predictive models for large and biased data. • Supervised and unsupervised classification in the presence of time-varying descriptors • Treatment of missing data • Spatial statistics • Artificial intelligence for video games • Optimization • PDE analysis, application to fluid mechanics, inverse problems • Numerical analysis • Numerical methods and scientific computing
Consulting services

Current content

We provide consulting services related to all our areas of expertise.
Equipments
Equipements spécifiques

Current content

  • Computing machines (x3)
    3 CPUs Intel Xeon E5-2680 v4 (x2) et 4 CPUs Intel Xeon E5-2680 v3/ Intel Xeon
Ecosystem
Affiliated institutions / organisations

Current content

  • University of Lille
  • CNRS
Établissement(s) partenaire(s)

Current content

INRIA
Unit(s) of attachment

Current content

Groups/Networks/Federations

Current content

FR 2037 FMHF - Fédération de Recherche Mathématique des Hauts-de-France Réseau CIME - Centre d’Interactions Mathématiques – Entreprises
Doctoral schools

Current content

Equipex/EquipEx+/ESR

Current content

Competitive cluster

Current content

Regional strategic areas of activity

Current content

  • Digital World and Robotics
Personal informations
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