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https://hdl.handle.net/2142/72538
Description
Title
The Cat Map on Prime Lattices
Author(s)
Gaspari, Gregory
Issue Date
1993
Doctoral Committee Chair(s)
Palmore, Julian
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Abstract
We establish the decomposition by the Arnold cat map of a uniform lattice of prime$\sp2$ sites into periodic orbits. We give a first integral (constant of motion) of this dynamical system and use it to find additional properties of the dynamics.
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