Séminaire de Probabilités LI This volume presents a selection of texts that reflects the current research streams in probability with an interest toward topics such as filtrations Markov processes and Markov chains as well as large deviations Stochastic Partial Differential equations rough paths theory quantum probabilities and percolation on graphs. The featured contributors are R. L. Karandikar and B. V. Rao C. Leuridan M. Vidmar L. Miclo and P. Patie A. Bernou M. E. Caballero and A. Rouault J. Dedecker F. Merlevède and E. Rio F. Brosset T. Klein A. Lagnoux and P. Petit C. Marinelli and L. Scarpa C. Castaing N. Marie and P. Raynaud de Fitte S. Attal J. Deschamps and C. Pellegrini and N. Eisenbaum. .