37 citations · 386 across the 41 of their papers we have counts for
17 papers · 1 filter
Extensions of exact and K-mixing dynamical systems
Daniele Galli, Marco Lenci
We consider extensions of non-singular maps which are exact, respectively K-mixing, or at least have a decomposition into positive-measure exact, respectively K-mixing, components.…
Maximal escape rate for shifts
Claudio Bonanno, Giampaolo Cristadoro, Marco Lenci
We consider the shift transformation on the space of infinite sequences over a finite alphabet endowed with the invariant product measure, and examine the presence of a \emph{hole}…
Internal-wave billiards in trapezoids and similar tables
Marco Lenci, Claudio Bonanno, Giampaolo Cristadoro
We call internal-wave billiard the dynamical system of a point particle that moves freely inside a planar domain (the table) and is reflected by its boundary according to this rule…
Pomeau-Manneville maps are global-local mixing
Claudio Bonanno, Marco Lenci
We prove that a large class of expanding maps of the unit interval with a -regular indifferent point in 0 and full increasing branches are global-local mixing. This class incl…
Pointwise convergence of Birkhoff averages for global observables
Marco Lenci, Sara Munday
It is well-known that a strict analogue of the Birkhoff Ergodic Theorem in infinite ergodic theory is trivial; it states that for any infinite-measure-preserving ergodic system 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…