TL;DR
This paper investigates the distribution of specific patterns within binary sequences, identifying sequences that optimize pattern densities under fixed constraints.
Contribution
It introduces a method to determine limit sequences that maximize or minimize pattern densities given fixed pattern constraints.
Findings
Identification of optimal limit sequences for pattern densities
Characterization of extremal pattern distributions in binary sequences
Framework for analyzing pattern densities in sequences
Abstract
We study pattern densities in binary sequences, finding optimal limit sequences with fixed pattern densities.
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Taxonomy
Topicssemigroups and automata theory · Cellular Automata and Applications · Limits and Structures in Graph Theory