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.

State-of-the-art research in probability Contains some recent trends in the theory of probability Presents a good sample of the mainstream of current research on probability and stochastic processes

Inhalt

• 1. Stochastic Integrals and Two Filtrations. - 2. Filtrations Associated to Some Two-to-One Transformations. - 3. Exit Problems for Positive Self-Similar Markov Processes with One-Sided Jumps. - 4. On Intertwining Relations Between Ehrenfest, Yule and Ornstein-Uhlenbeck Processes. - 5. On Subexponential Convergence to Equilibrium of Markov Processes. - 6. Invariance Principles for Clocks. - 7. Criteria for Borel-Cantelli Lemmas with Applications to Markov Chains and Dynamical Systems. - 8. Large Deviations at the Transition for Sums of Weibull-Like Random Variables. - 9. Well-Posedness of Monotone Semilinear SPDEs with Semimartingale Noise. - 10. Sweeping Processes Perturbed by Rough Signals. - 11. Classical Noises Emerging from Quantum Environments. - 12. Percolation of Repulsive Particles on Graphs.