12 citations · 27 across the 10 of their papers we have counts for
13 papers
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…
Quenched linear response for smooth expanding on average cocycles
Davor Dragičević, Paolo Giulietti, Julien Sedro
We establish an abstract quenched linear response result for random dynamical systems, which we then apply to the case of smooth expanding on average cocycles on the unit circle. I…
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…
Quantitative global-local mixing for accessible skew products
P. Giulietti, A. Hammerlindl, D. Ravotti
We study global-local mixing for a family of accessible skew products with an exponentially mixing base and non-compact fibers, preserving an infinite measure. For a dense set of a…
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…
Linear Response for dynamical systems with additive noise
Stefano Galatolo, Paolo Giulietti
We show a linear response statement for fixed points of a family of Markov operators which are perturbations of mixing and regularizing operators. We apply the statement to random…
Infinite mixing for one-dimensional maps with an indifferent fixed point
Claudio Bonanno, Paolo Giulietti, Marco Lenci
We study the properties of `infinite-volume mixing' for two classes of intermittent maps: expanding maps with an indifferent fixed point at 0 preservi…
The calculus of thermodynamical formalism
Paolo Giulietti, Benoit Kloeckner, Artur Lopes +1
Given a finite-to-one map acting on a compact metric space, one classically constructs for each potential in an appropriate Banach space of functionsa transfer operator acting on f…
Parabolic dynamics and Anisotropic Banach spaces
Paolo Giulietti, Carlangelo Liverani
We investigate the relation between the distributions appearing in the study of ergodic averages of parabolic flows (e.g. in the work of Flaminio-Forni) and the ones appearing in t…
Duality between Eigenfunctions and Eigendistributions of Ruelle and Koopman operators via an integral kernel
Paolo Giulietti, Artur O. Lopes, Vincent Pit
We consider the classical dynamics given by a one sided shift on the Bernoulli space of symbols. We study, on the space of Hölder functions, the eigendistributions of the Ruell…
Anosov Flows and Dynamical Zeta Functions
Paolo Giulietti, Carlangelo Liverani, Mark Pollicott
We study the Ruelle and Selberg zeta functions for $\Cs^r$ Anosov flows, , on a compact smooth manifold. We prove several results, the most remarkable being: (a) for $\Cs^\i…