29 citations · 68 across the 21 of their papers we have counts for
4 papers · 1 filter
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…
On approximation by random Lüroth expansions
Charlene Kalle, Marta Maggioni
We introduce a family of random -Lüroth transformations , obtained by randomly combining the standard and alternating Lüroth maps with probabilitie…