TL;DR
This paper introduces recurrence matrices, exploring their properties and connections with automatic sequences and branch groups, providing foundational insights into their mathematical structure.
Contribution
It defines recurrence matrices and investigates their properties, establishing links with automatic sequences and branch groups, which are novel contributions.
Findings
Recurrence matrices are linked to automatic sequences.
Properties of recurrence matrices are characterized.
Connections with branch groups are established.
Abstract
We define recurrence matrices and study a few properties (links with automatic sequences, branch groups etc.) of them.
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Taxonomy
Topicssemigroups and automata theory · Geometric and Algebraic Topology · Mathematical Dynamics and Fractals