How Number Theory Elucidates the Mysteries of Complex Dynamics--Viewed through Non-Archimedean Dynamics

The theory of complex dynamics is an area of pure mathematics.Even though the theory of dynamical systems belongs to analysis, it is studied in relation to various fields of mathematics, including algebra and geometry.I study it using the theory of non-archimedean numbers from number theory, which seems distant from dynamics.In this article, we discuss how attractive these theories are.

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Publication Details

Journal
NTT technical review
Published
2024-09-01
DOI
https://doi.org/10.53829/ntr202409fa3
Citations
2
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
0.68
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article

How Number Theory Elucidates the Mysteries of Complex Dynamics--Viewed through Non-Archimedean Dynamics

Reimi Irokawa
2 citations
NTT technical review
Quantum Mechanics and Applications
0.68
article

How Number Theory Elucidates the Mysteries of Complex Dynamics--Viewed through Non-Archimedean Dynamics

Reimi Irokawa
article en
2 citations

Abstract

The theory of complex dynamics is an area of pure mathematics.Even though the theory of dynamical systems belongs to analysis, it is studied in relation to various fields of mathematics, including algebra and geometry.I study it using the theory of non-archimedean numbers from number theory, which seems distant from dynamics.In this article, we discuss how attractive these theories are.

NTT technical reviewVol. 22(9)
NTT (Japan) (JP)
Reduced inequalities
Openalex Percentile: Top 31%
Quantum Mechanics and Applications
0.68
DOIOpen Access PDFOpenAlex
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How Number Theory Elucidates the Mysteries of Complex Dynamics--Viewed through Non-Archimedean Dynamics — Reimi Irokawa · NTT technical review (2024) | TGRS Research Map | TGRS