Halving dynamical systems

Shaun Stevens; Tom Ward; Stefanie Zegowitz

doi:10.1090/conm/669

Halving dynamical systems

Shaun Stevens, Tom Ward, Stefanie Zegowitz

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

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Abstract

The relationship between two dynamical systems, one of which is obtained from the other by forming the quotient by an action of an involution commuting with the dynamics, is studied. The constraints and the possible extent of freedom in the relationship between the growth of closed orbits in pairs of systems related in this way is explored.

Original language	English
Number of pages	17
Journal	Contemporary Mathematics
Volume	669
DOIs	https://doi.org/10.1090/conm/669
Publication status	Published - 2016

Keywords

Algebraic dynamical system
Orbit growth
Quotient space

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10.1090/conm/669

halving2revisedversionAccepted author manuscript, 340 KB

http://arxiv.org/abs/1407.7787

Shaun Stevens
- Shaun.Stevensuea.acuk
- School of Engineering, Mathematics and Physics - Professor of Mathematics
- Algebra, Number Theory, Logic, and Representations (ANTLR) - Group Lead
Person: Research Group Member, Academic, Teaching & Research

Explicit Correspondences in Number Theory.
Stevens, S.
Engineering and Physical Sciences Research Council
31/03/10 → 30/03/15
Project: Fellowship

Cite this

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abstract = "The relationship between two dynamical systems, one of which is obtained from the other by forming the quotient by an action of an involution commuting with the dynamics, is studied. The constraints and the possible extent of freedom in the relationship between the growth of closed orbits in pairs of systems related in this way is explored.",

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AB - The relationship between two dynamical systems, one of which is obtained from the other by forming the quotient by an action of an involution commuting with the dynamics, is studied. The constraints and the possible extent of freedom in the relationship between the growth of closed orbits in pairs of systems related in this way is explored.

KW - Algebraic dynamical system

KW - Orbit growth

KW - Quotient space

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M3 - Article

VL - 669

JO - Contemporary Mathematics

JF - Contemporary Mathematics

SN - 0271-4132

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Halving dynamical systems

Abstract

Keywords

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Profiles

Shaun Stevens

Projects

Explicit Correspondences in Number Theory.

Cite this