Towards a Pólya–Carlson dichotomy for algebraic dynamics
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2014/06/01
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Journal
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Indian UGC (journal)
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Refrences26
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Citations9
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Jason Bell
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Richard Miles
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Thomas Ward
Journal Category
Science
Mathematics
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Automorphisms with exotic orbit growth | Acta Arithmetica |
| 2 | 2013 |
| Dirichlet series for finite combinatorial rank dynamics | Transactions of the American Mathematical Society |
| 2010 | |
| Periodic points of endomorphisms on solenoids and related groups | Bulletin of the London Mathematical Society |
| 8 | 2008 |
| Zeta functions for elements of entropy rank-one actions | Ergodic Theory and Dynamical Systems |
| 2007 | |
| Some remarks on random zeta functions | Ergodic Theory and Dynamical Systems |
| 2002 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 14 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 5 |
The category
Science: Mathematics 14
is the most frequently represented among the references in this article. It primarily includes studies from Ergodic Theory and Dynamical Systems and Bulletin of the London Mathematical Society. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
A general criterion for the Pólya-Carlson dichotomy and application | Transactions of the American Mathematical Society |
| 1 | 2023 |
| Pólya–Carlson dichotomy for coincidence Reidemeister zeta functions via profinite completions | Indagationes Mathematicae |
| 1 | 2022 |
| Dold sequences, periodic points, and dynamics | Bulletin of the London Mathematical Society |
| 3 | 2021 |
| Pólya–Carlson Dichotomy for Dynamical Zeta Functions and a Twisted Burnside–Frobenius Theorem | Russian Journal of Mathematical Physics |
| 2021 | |
| Integer sequences and dynamics | Electronic Notes in Discrete Mathematics | 1 | 2018 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 8 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 1 |
| Science: Physics | 1 |
The category
Science: Mathematics 8
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The dynamical zeta function for commuting automorphisms of zero-dimensional groups and was published in 2016. The most recent citation comes from a 2023 study titled A general criterion for the Pólya-Carlson dichotomy and application. This article reached its peak citation in 2021, with 2 citations. It has been cited in 9 different journals. Among related journals, the Transactions of the American Mathematical Society cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.