caa a22 4500 445391634 CHVBK 20180317143048.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s10955-010-0096-4 doi (NATIONALLICENCE)springer-10.1007/s10955-010-0096-4 Extreme Value Laws in Dynamical Systems forNon-smooth Observations [Elektronische Daten] [Ana Freitas, Jorge Freitas, Mike Todd] We prove the equivalence between the existence of a non-trivial hitting time statistics law and Extreme Value Laws in the case of dynamical systems with measures which are not absolutely continuous with respect to Lebesgue. This is a counterpart to the result of the authors in the absolutely continuous case. Moreover, we prove an equivalent result for returns to dynamically defined cylinders. This allows us to show that we have Extreme Value Laws for various dynamical systems with equilibrium states with good mixing properties. In order to achieve these goals we tailor our observables to the form of the measure at hand. Springer Science+Business Media, LLC, 2010 Return time statistics nationallicence Extreme Value Theory nationallicence Non-uniform hyperbolicity nationallicence Stationary stochastic processes nationallicence Freitas Ana Centro de Matemática & Faculdade de Economia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-464, Porto, Portugal aut Freitas Jorge Centro de Matemática, Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal aut Todd Mike Department of Mathematics and Statistics, Boston University, 111 Cummington Street, 02215, Boston, MA, USA aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/1(2011-01-01), 108-126 0022-4715 142:1<108 2011 142 10955 https://doi.org/10.1007/s10955-010-0096-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-010-0096-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Freitas Ana Centro de Matemática & Faculdade de Economia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-464, Porto, Portugal aut NATIONALLICENCE 700 1- Freitas Jorge Centro de Matemática, Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal aut NATIONALLICENCE 700 1- Todd Mike Department of Mathematics and Statistics, Boston University, 111 Cummington Street, 02215, Boston, MA, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/1(2011-01-01), 108-126 0022-4715 142:1<108 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer