Applied Mathematics and Systems (MAS) - EA 4037

Research Themes

Founded in the early 2000’s, MAS is the research laboratory in Mathematics and Computer Science at École Centrale Paris. Research at MAS is concerned with analyzing, modelling, simulating and optimizing complex systems, whether they come from an industrial environment, biosciences, financial markets, information technology or networks.

• Plant Growth Modelling
  Modelling and estimating the plant dynamical system in its environment; formal grammar and symbolic methods; optimal control of culture and genetic improvement; multi-physic and multi-scale landscape simulation.
• Partial Differential Equations and Scientific Computing
  Non-smooth fluid-structure interactions; dynamics of ecosystems; interface dynamics; massively parallel computing; GPU; asymptotic-preserving numerical schemes; nonlinear wave equations.
• Formal methods in computer science and knowledge modelling
  Formal design of complex systems; ontologies, decisional and fuzzy logic for image interpretation; unified semantics for structured and unstructured data.
• Business Intelligence (SAP Research Chair)
  Business intelligence; visual analytics.
• Quantitative Finance (BNP-Parisbas Research Chair)
  Financial market modelling; market microstructure; high frequency data; econophysics; derivatives.
• Probabilistic Modelling and Uncertainties (including INRIA project Regularity)
  Local regularity of stochastic processes; processes with prescribed regularity; set-indexed processes; ergodic theory; statistical properties of graphs; structured data.
• Bio-Mathematics
  Mathematical modelling of in vivo cellular behaviour; DNA chips; epidemiology.

Applications

• Industrial systems (aerospace, construction, energy, transportation); environment (plants, hydrology, landscapes, acoustics); life sciences (molecular biology, genetics, epidemiology); markets and companies (finance, capital markets, business intelligence); information technology and networks (internet, multimedia, knowledge management); art and architecture (colorimetrics, virtual reality).