4 papers · 1 filter
On some random billiards in a tube with superdiffusion
Henk Bruin, Niels Kolenbrander, Dalia Terhesiu
We consider a class of random billiards in a tube, where reflection angles at collisions with the boundary of the tube are random variables rather than deterministic (and elastic)…
On asymptotic expansions of ergodic integrals for -extensions of translation flows
Henk Bruin, Charles Fougeron, Davide Ravotti +1
We obtain expansions of ergodic integrals for -covers of compact self-similar translation flows, and as a consequence we obtain a form of weak rational ergodicity with optima…
Hölder continuity of measures for heavy tail potentials
Godofredo Iommi, Dalia Terhesiu, Mike Todd
For a class of potentials satisfying a condition depending on the roof function of a suspension (semi)flow, we show an EKP inequality, which can be interpreted as a Hölder co…
Strong mixing for the periodic Lorentz gas flow with infinite horizon
Françoise Pène, Dalia Terhesiu
We establish strong mixing for the -periodic, infinite horizon, Lorentz gas flow for continuous observables with compact support. The essential feature of this natural…