Invariant measures for continued fraction algorithms with finitely many digits

In this paper we consider continued fraction (CF) expansions on intervals different from [0,1]. For every x in such interval we find a CF expansion with a finite number of possible digits. Using the natural extension, the density of the invariant measure is obtained in a number of examples. In case this method does not work, a Gauss–Kuzmin...

Finding infinitely many even or odd continued fractions by introducing a new family of maps

A new family of continued fractions expansions is introduced by combining two existing family's (2-expansions and flipped expansions). This new family has infinitely many mappings with the property that for every x the digits are only even or only odd. Apart from a whole range of examples, convergence is proved and ergodicity is studied. By...

CSO pollution analysis based on conductivity and turbidity measurements and implications for application of RTC

The objective of this paper is to demonstrate the applicability of, and need for, surrogate sensors as robust sensors for water quality based RTC. For this purpose 1.5 years of level, conductivity (EC) and turbidity (TU) measurements at 9 combined sewer overflow (CSO) locations have been performed and analysed to determine the most polluted CSO...

Determining the transition between DWF and WWF based on water quality measurements