
TL;DR
This paper explores the existence and properties of wild SLk-frieze patterns, demonstrating the presence of both periodic and non-periodic patterns with positive integer entries, including one with infinitely many distinct entries.
Contribution
It establishes the existence of various types of wild SLk-frieze patterns with positive integer entries, including periodic, non-periodic, and infinitely diverse patterns.
Findings
Existence of periodic wild SLk-frieze patterns with positive integers
Existence of non-periodic wild SLk-frieze patterns with positive integers
An SL3-frieze pattern with infinitely many distinct positive integer entries
Abstract
In this note, among other things, we show: There are periodic wild SLk-frieze patterns whose entries are positive integers. There are non-periodic SLk-frieze patterns whose entries are positive integers. There is an SL3-frieze pattern whose entries are positive integers and with infinitely many different entries.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems · Meromorphic and Entire Functions
