40 citations · 300 across the 38 of their papers we have counts for
4 papers · 1 filter
Limiting modular symbols and their fractal geometry
Marc Kesseböhmer, Bernd O. Stratmann
In this paper we use fractal geometry to investigate boundary aspects of the first homology group for finite coverings of the modular surface. We obtain a complete description of a…
Critical waiting time processes in infinite ergodic theory
Marc Kesseböhmer, Mehdi Slassi
We study limit laws for return time processes defined on infinite conservative ergodic measure preserving dynamical systems. Especially for the critical cases with purely atomic li…
Refined measurable rigidity and flexibility for conformal iterated function systems
Marc Kesseböhmer, Bernd O. Stratmann
In this paper we investigate aspects of rigidity and flexibility for conformal iterated function systems. For the case in which the systems are not essentially affine we show that…
Radon--Nikodym representations of Cuntz--Krieger algebras and Lyapunov spectra for KMS states
Marc Kesseböhmer, Manuel Stadlbauer, Bernd O. Stratmann
We study relations between --KMS states on Cuntz--Krieger algebras and the dual of the Perron--Frobenius operator . Generalising the well--studied pur…