1 citations · 1 across the 4 of their papers we have counts for
8 papers
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…
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…
A Central limit theorem for the Birkhoff sum of the Riemann zeta-function over a Boolean type transformation
Tanja I. Schindler
We prove a central limit theorem for the real and imaginary part and the absolute value of the Riemann zeta-function sampled along a vertical line in the critical strip with respec…
Interpolation and the Array Property Fragment
Jochen Hoenicke, Tanja Schindler
Interpolation based software model checkers have been successfully employed to automatically prove programs correct. Their power comes from interpolating SMT solvers that check the…
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…