In full concentration…







…about my favorite subject of reflexion: the theory and applications of Markov processes:

  • quantitative speed of convergence to equilibrium for reversible and non-reversible processes, strong stationary times, intertwining relations
  • spectral analysis of Markov operators and generators, nodal domains of eigenfunctions, higher order Cheeger’s inequalities
  • functional analysis: Poincaré or (modified) logarithmic Sobolev inequalities, hyperbounded semi-groups
  • stochastic algorithms: simulated annealing, genetic algorithms and mean-field particle approximations, algorithms finding Fréchet means on manifold
  • modeling via higher order Markov processes: kinetic evolution equations, financial bubbles dynamics etc.

But my office is open (except in the situation inaugurating this page) to anyone who wants to discuss about the last exotic Markovian model (s)he is fond of…


As co-director with Fabrice Gamboa of the statistics and probability team of the Institut de Mathématiques de Toulouse, I’m also listening to all the complains about the way it is run, but think twice before coming, as the proposed solution may not be the one you had hoped for…


Email: Laurent.Miclo’at’math.univ-toulouse.fr

Phone: +33 5 61 55 67 24

Location: bâtiment 1R1, bureau 222

Address: Institut de Mathématiques de Toulouse
Université Paul Sabatier
118, route de Narbonne
F-31062 Toulouse Cedex 9

Pour vous aider : Prise en main

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