29 citations · 68 across the 21 of their papers we have counts for
23 papers · 1 filter
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy
Jonny Imbierski, Charlene Kalle, Reza Mohammadpour
In this article, we calculate the Birkhoff spectrum in terms of the Hausdorff dimension of level sets for Birkhoff averages of continuous potentials for a certain family of diagona…
Pseudo-random number generation with -encoders
Charlene Kalle, Evgeny Verbitskiy, Benthen Zeegers
The -encoder is an analog circuit that converts an input signal into a finite bit stream . The bits are correlated and therefore are not immedia…
Iterated function systems of affine expanding and contracting maps on the unit interval
Ale Jan Homburg, Charlene Kalle
We analyze the two-point motions of iterated function systems on the unit interval generated by expanding and contracting affine maps, where the expansion and contraction rates are…
Decay of correlations for critically intermittent systems
Charlene Kalle, Benthen Zeegers
For a family of random intermittent dynamical systems with a superattracting fixed point we prove that a phase transition occurs between the existence of an absolutely continuous i…
Random Lochs' Theorem
Charlene Kalle, Evgeny Verbitskiy, Benthen Zeegers
In 1964 Lochs proved a theorem on the number of continued fraction digits of a real number that can be determined from just knowing its first decimal digits. In 2001 this r…
Invariant densities for random continued fractions
Charlene Kalle, Valentin Matache, Masato Tsujii +1
We continue the study of random continued fraction expansions, generated by random application of the Gauss and the Rényi backward continued fraction maps. We show that this random…