Research projects

Research interests :

  • Probability, isoperimetry, concentration of measure, superconcentration phenomenon.
  • Functional inequalities (Logarithmic Sobolev, Poincaré,…).
  • Analysis, heat kernels, functional inequalities, geometry of Markov semigroups.
  • Statistical mechanics, spin glasses, Gibbs measures.
  • Gaussian measures and processes, probability in Banach spaces, convexity.
  • Branching random walk, Gaussian Free Field.
  • Stein method.
  • Optimal transport and Information inequalities.
  • Generic chaining and study supremum of processes.