Zobrazeno 1 - 10
of 267
pro vyhledávání: '"Bruin, Henk"'
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) quantities. We obtain a (non-standard) Central Limit Theorem for the h
Externí odkaz:
http://arxiv.org/abs/2410.09461
Autor:
Bruin, Henk, Lukina, Olga
We study the ergodic properties (recurrence, discrepancy, diffusion coefficients and ergodicity itself) of a class of $\mathbb Z$-extensions over infinite interval exchange transformations called rotated odometers. The choice of a skew-function is mo
Externí odkaz:
http://arxiv.org/abs/2408.14079
We obtain expansions of ergodic integrals for $\Z^d$-covers of compact self-similar translation flows, and as a consequence we obtain a form of weak rational ergodicity with optimal rates. As examples, we consider the so-called self-similar $(s,1)$-s
Externí odkaz:
http://arxiv.org/abs/2402.02266
Autor:
Bruin, Henk, Radinger, Silvia
We study linear recurrence and weak mixing of a two-parameter family of interval translation maps $T_{\alpha,\beta}$ for the subset of parameter space where $T_{\alpha,\beta}$ has a Cantor attractor. For this class, there is a procedure similar to th
Externí odkaz:
http://arxiv.org/abs/2312.10533
Graph covers are a way to describe continuous maps (and homeomorphisms) of a Cantor set, more generally than e.g.\ Bratteli-Vershik systems. Every continuous map on a zero-dimensional compact set can be expressed by a graph cover (e.g.\ non-minimalit
Externí odkaz:
http://arxiv.org/abs/2310.20291
The aim of this paper is to obtain polynomial decay of correlations of a Lorenz-like flow where the hyperbolic saddle at the origin is replaced by a neutral saddle. To do that, we take the construction of the geometrical Lorenz flow and proceed by ch
Externí odkaz:
http://arxiv.org/abs/2305.07502
Autor:
Bruin, Henk, Petti, Werner
We give piecewise affine maps on the unit cube whose symbolic representation is the Dyck shift. This leads to a different way of verifying the chaotic nature of this system, including the computation of entropy.
Comment: I learned too late about
Comment: I learned too late about
Externí odkaz:
http://arxiv.org/abs/2302.02679
We prove limit laws for infinite horizon planar periodic Lorentz gases when, as time $n$ tends to infinity, the scatterer size $\rho$ may also tend to zero simultaneously at a sufficiently slow pace. In particular we obtain a non-standard Central Lim
Externí odkaz:
http://arxiv.org/abs/2107.10529
Autor:
Bruin, Henk, Keszthelyi, Gabriella
We prove that the critical point and the point $1$ have dense orbits for Lebesgue-a.e., parameter pairs in the two-parameter skew-tent family and generalised $\beta$-transformations. As an application, we show that for the generalised $\beta$-transfo
Externí odkaz:
http://arxiv.org/abs/2106.04711