Stirling number and periodic points

2021/02/15 by Piotr Miska, Miska, Piotr, Ward, Tom · 2 citations
Computer Science · Mathematics · #11B73 (Primary) 37P35 (Secondary) #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2102.07561

openalex publication_date 2021/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of almost realizability, an arithmetic generalization of realizability for integer sequences, which is the property of counting periodic points for some map. We characterize the intersection between the set of Stirling sequences (of both the first and the second kind) and the set of almost realizable sequences.

Cited by

• On Dold condition and fail factor of linear recurrent sequences
• Local structure of classical sequences, regular sequences, and dynamics

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