70 citations · 210 across the 21 of their papers we have counts for
12 papers · 1 filter
On the asymptotics of the -Farey transfer operator
Johannes Kautzsch, Marc Kesseböhmer, Tony Samuel +1
We study the asymptotics of iterates of the transfer operator for non-uniformly hyperbolic -Farey maps. We provide a family of observables which are Riemann integrable, locally…
Upper estimates for stable dimensions of fractal sets with variable number of foldings
Eugen Mihailescu, Bernd Stratmann
For a hyperbolic map f on a saddle type fractal Lambda with self-intersections, the number of f- preimages of a point x in Lambda may depend on x. This makes estimates of the stabl…
A Fréchet law and an Erdös-Philipp law for maximal cuspidal windings
Johannes Jaerisch, Marc Kesseböhmer, Bernd O. Stratmann
In this paper we establish a Fréchet law for maximal cuspidal windings of the geodesic flow on a Riemannian surface associated with an arbitrary finitely generated, essentially fre…
Geometric renormalisation and Hausdorff dimension for loop-approximable geodesics escaping to infinity
Kurt Falk, Bernd O. Stratmann
The main result of this paper is to show that if $\H$ is a normal subgroup of a Kleinian group such that $G/\H$ contains a coset which is represented by some loxodromic element…
Strong renewal theorems and Lyapunov spectra for -Farey and -Lüroth systems
Marc Kesseböhmer, Sara Munday, Bernd O. Stratmann
In this paper we introduce and study the -Farey map and its associated jump transformation, the -Lüroth map, for an arbitrary countable partition of the unit interval wit…
On the Lebesgue measure of sum-level sets for continued fractions
Marc Kesseböhmer, Bernd O. Stratmann
In this paper we give a detailed measure theoretical analysis of what we call sum-level sets for regular continued fraction expansions. The first main result is to settle a recent…