TL;DR
This paper explores the relationship between partitions and periodic sequences, analyzing their limit distributions and establishing statistical independence properties of these limits.
Contribution
It introduces a method to associate periodic sequences with partitions and investigates their limit behaviors and independence properties.
Findings
Established a connection between partitions and periodic sequences.
Proved statistical independence of the limit sequences.
Analyzed the distribution of elements in the uniform limit.
Abstract
In the first part we associate a periodic sequence to a partition and study the connection the distribution of elements of uniform limit of the sequences. Then some facts of statistical independence of these limits are proved
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