TY - BOOK AU - Lucarini,Valerio AU - Faranda,Davide TI - Extremes and recurrence in dynamical systems T2 - Pure and applied mathematics: a Wiley series of texts, monographs, and tracts SN - 9781118632192 U1 - 515.39 23 PY - 2016/// CY - New Jersey : PB - John Wiley & Sons, Inc., KW - Chaotic behavior in systems KW - Stochastic processes KW - Probabilities KW - Extreme value theory KW - Dynamics N1 - Includes bibliographical references and index; 1. Introduction -- 2. A framework for rare events in stochastic processes and dynamical systems -- 3. Classical extreme value theory -- 4. Emergence of extreme value laws for dynamical systems -- 5. Hitting and return time statistics -- 6. Extreme value theory for selected dynamical systems -- 7. Extreme value theory for randomly perturbed dynamical systems -- 8. A statistical mechanical point of view -- 9. Extremes as dynamical and geometrical indicators -- 10. Extremes as physical probes -- 11. Conclusions -- Appendix A: Codes N2 - Written by a team of international experts, Extremes and Recurrence in Dynamical Systems presents a unique point of view on the mathematical theory of extremes and on its applications in the natural and social sciences ER -