Asymptotic behaviour of the sums of the digits for continued fraction algorithms

Abstract: In this talk I will discuss applications of methods of ergodic theory to obtain pointwise asymptotic behaviour for the sum of the digits of some non-regular continued fraction algorithms. The idea is to study the behaviour of trimmed Birkhoff sums for infinite-measure preserving dynamical systems. The talk is based on joint work with Tanja I. Schindler.

dynamical systemsnumber theory

Audience: researchers in the topic

( paper | slides )

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One World Numeration seminar

Series comments: Description: Online seminar on numeration systems and related topics

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