Jacob's ladders and laws that control chaotic behavior of the measures of reversely iterated segments

TL;DR

This paper investigates the chaotic behavior of measures of reversely iterated segments, revealing properties not accessible through current methods in the theory of the Riemann zeta-function.

Contribution

It introduces new insights into the properties of reversely iterated segments and their measures, expanding understanding beyond existing approaches in the field.

Findings

Chaotic behavior of measures analyzed

Properties of reversely iterated segments identified

Results inaccessible to current Riemann zeta-function methods

Abstract

The main subject to study in this paper are properties of the sequence of reversely iterated segments. Especially, we will examine properties of chaotic behavior of the sequence of measures of corresponding segments. Our results are not accessible within current methods in the theory of Riemann zeta-function.