12 citations · 48 across the 17 of their papers we have counts for
11 papers · 1 filter
Almost sure limit theorems with applications to non-regular continued fraction algorithms
Claudio Bonanno, Tanja I. Schindler
We consider a conservative ergodic measure-preserving transformation of the measure space with a -finite measure and . Given an observab…
Doubly Intermittent Maps with Critical Points, Unbounded Derivatives and Regularly Varying Tail
Muhammad Mubarak, Tanja I. Schindler
We consider a class of doubly intermittent maps with critical points, unbounded derivative and regularly varying tails. Under some mild assumptions we prove the existence of a uniq…
Prime numbers in typical Continued Fraction Expansions
Tanja I. Schindler, Roland Zweimüller
We study, from the viewpoint of metrical number theory and (infinite) ergodic theory, the probabilistic laws governing the occurrence of prime numbers as digits in continued fracti…
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation
Seul Bee Lee, Stefano Marmi, Tanja I. Schindler
We give an explicit arithmetical condition which guarantees the existence of the unstable manifold of the MacKay approximate renormalisation scheme for the breakup of invariant tor…
Regularity properties of -Brjuno and Wilton functions
Seul Bee Lee, Stefano Marmi, Izabela Petrykiewicz +1
We study functions related to the classical Brjuno function, namely -Brjuno functions and the Wilton function. Both appear in the study of boundary regularity properties of (qua…
Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems
Claudio Bonanno, Tanja I. Schindler
We consider a conservative ergodic measure-preserving transformation of a -finite measure space with . Given an observable $f:X\to \mathbb{R…
Mean convergence for intermediately trimmed Birkhoff sums of observables with regularly varying tails
Marc Kesseböhmer, Tanja Schindler
On a measure theoretical dynamical system with spectral gap property we consider non-integrable observables with regularly varying tails and fulfilling a mild mixing condition. We…
Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type
Marc Kesseböhmer, Tanja Schindler
We prove strong laws of large numbers under intermediate trimming for Birkhoff sums over subshifts of finite type. This gives another application of a previous trimming result only…
Trimmed sums for observables on the doubling map
Tanja Schindler
We establish a strong law of large numbers under intermediate trimming for a particular example of Birkhoff sums of a non-integrable observable over the doubling map. It has been s…
Scaling properties of the Thue--Morse measure
Michael Baake, Philipp Gohlke, Marc Kesseböhmer +1
The classic Thue--Morse measure is a paradigmatic example of a purely singular continuous probability measure on the unit interval. Since it has a representation as an infinite Rie…
Strong laws of large number for intermediately trimmed Birkhoff sums of observables with infinite mean
Marc Kesseböhmer, Tanja Schindler
We consider dynamical systems on a finite measure space fulfilling a spectral gap property and Birkhoff sums of a non-negative, non-integrable observable. For such systems we gener…