Halving dynamical systems

Shaun Stevens, Tom Ward, Stefanie Zegowitz

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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 languageEnglish
Number of pages17
JournalContemporary Mathematics
Volume669
DOIs
Publication statusPublished - 2016

Keywords

  • Algebraic dynamical system
  • Orbit growth
  • Quotient space

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