23 citations · 55 across the 18 of their papers we have counts for
20 papers
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…
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…
Critical intermittency in random interval maps
Ale Jan Homburg, Charlene Kalle, Marks Ruziboev +2
Critical intermittency stands for a type of intermittent dynamics in iterated function systems, caused by an interplay of a superstable fixed point and a repelling fixed point. We…
Decimation limits of principal algebraic -actions
Elizaveta Arzhakova, Douglas Lind, Klaus Schmidt +1
Let be a Laurent polynomial in commuting variables with integer coefficients. Associated to is the principal algebraic -action on a compact subgroup…
Bohr chaoticity of principal algebraic actions and Riesz product measures
Aihua Fan, Klaus Schmidt, Evgeny Verbitskiy
For a continuous or action on a compact space, we introduce the notion of Bohr chaoticity, which is an invariant of topological conjugacy and which is…