5 papers · 1 filter
Quantitative infinite mixing for non-compact skew products
Paolo Giulietti, Andy Hammerlindl, Davide Ravotti
We consider skew products over subshifts of finite type in which the fibers are copies of the real line, and we study their mixing properties with respect to any infinite invariant…
Extreme Value theory and Poisson statistics for discrete time samplings of stochastic differential equations
F. Flandoli, S. Galatolo, P. Giulietti +1
We investigate the distribution and multiple occurrences of extreme events stochastic processes constructed by sampling the solution of a Stochastic Differential Equation on $\math…
Anosov Flows and Dynamical Zeta Functions (Errata)
Paolo Giulietti, Mark Pollicott, Carlangelo Liverani
This errata fixes a mistake in the part of Giulietti, P.; Liverani, C.; Pollicott, M. Anosov flows and dynamical zeta functions. Ann. of Math. (2) {\bf 178} (2013), no. 2, 687--773…
Random-like properties of chaotic forcing
Paolo Giulietti, Stefano Marmi, Matteo Tanzi
We prove that skew systems with a sufficiently expanding base have approximate exponential decay of correlations, meaning that the exponential rate is observed modulo an error. The…
Global-local mixing for the Boole map
Claudio Bonanno, Paolo Giulietti, Marco Lenci
In the context of 'infinite-volume mixing' we prove global-local mixing for the Boole map, a.k.a. Boole transformation, which is the prototype of a non-uniformly expanding map with…