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Stirling numbers and periodic points

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2021Embargo end date: 01 Jan 2021 Poland, United Kingdom English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Acta Arithmetica, volume 201, pages 421-435 (issn: 0065-1036, eissn: 1730-6264, Copyright policy )
Authors: Miska P; Ward T;

doi: 10.4064/aa210309-9-8 , 10.48550/arxiv.2102.07561

arXiv: 2102.07561

Stirling numbers and periodic points

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.

13 pages

Countries
Poland, United Kingdom
Related Organizations
Keywords

Arithmetic properties of periodic points, periodic points, Bell and Stirling numbers, Dynamical Systems (math.DS), Dold condition, Dynamical Systems, Stirling numbers, realizability, Combinatorics, 11B73 (Primary) 37P35 (Secondary), Number Theory, almost realizability, FOS: Mathematics, Number Theory (math.NT), Combinatorics (math.CO)

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    		 3
    popularity
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    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
Green
bronze