GEOSTAT Research team

Geometry and Statistics in acquisition data

Team presentation

GeoStat projecting makes fundamental and applied research on new non linear methods for the analysis of complex signals and systems, using paradigms and tools coming from the notions of scale invariance, predictibility, and the development of new formalisms such as the Multiscale Microcanonical Formalism.

Research themes

GeoStat's research thematics are centered on the following theoretical developments :
  • Multiscale methods developped in Physics for the analysis of complex systems (computation of singularity exponents, Lyapunov exponents and large deviations, various definitions of entropy etc.),
  • Predictibility in complex systems,
  • Optimal wavelet decomposition,
  • Analysis, classification, detection,
and the following applied objectives:
  • Analysis of complex and turbulent signals in earth observation and remote sensing,
  • Digital implementation of adaptative optics in astronomy,
  • Speech analysis.

International and industrial relations

GeoStat is working in close collaboration with the following teams:
  • LATT (Laboratory for Astrophysics of Toulouse-Tarbes), UMR CNRS 5572, Toulouse, France .
  • ICM-CSIC, Department of physical oceanography, Barcelona, Spain.
  • LEGOS Laboratory, UMR CNRS 5566, Toulouse, France.
  • Laboratory of theoretical physics and condensed matter University Paris 6, CNRS UMR 7600, Paris, France.
  • IRIT, UMR CNRS 5505, Toulouse, France.

Keywords: Signal processing Non-linear methods Comple systems Turbulence Multiscale methods Complexity Scale invariance Complex signals Speech processing Adaptative optics Remote sensing Earth observ