Séminaire de Probabilités XLI

Spectral gap inequality for a colored disordered lattice gas.- On large deviations for the spectral measure of discrete Coulomb gas.- Estimates for moments of random matrices with Gaussian elements.- Geometric interpretation of the cumulants for random matrices previously defined as convolutions on the symmetric group.- Fluctuations of spectrally negative Markov additive processes.- On Continuity Properties of the Law of Integrals of Lévy Processes.- A Law of the Iterated Logarithm for Fractional Brownian Motions.- A simple theory for the study of SDEs driven by a fractional Brownian motion, in dimension one.- Proof of a Tanaka-like formula stated by J. Rosen in Séminaire XXXVIII.- Une preuve simple d'un résultat de Dufresne.- Creation or deletion of a drift on a Brownian trajectory.- Extending Chacon-Walsh: Minimality and Generalised Starting Distributions.- Transformations browniennes et compléments indépendants: résultats et problèmes ouverts.- Hyperbolic random walks.- The Hypergroup Property and Representation of Markov Kernels.- A new look at 'Markovian' Wiener-Hopf theory.- Separability and completeness for the Wasserstein distance.- A probabilistic interpretation to the symmetries of a discrete heat equation.- On the tail distributions of the supremum and the quadratic variation of a càdlàg local martingale.- The Burkholder-Davis-Gundy Inequality for Enhanced Martingales.- On Martingale Selectors of Cone-Valued Processes.- No asymptotic free lunch reviewed in the light of Orlicz spaces.- New methods in the arbitrage theory of financial markets with transaction costs.