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 Title: The Cat Map on Prime Lattices Author(s): Gaspari, Gregory Doctoral Committee Chair(s): Palmore, Julian Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(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. Issue Date: 1993 Type: Text Description: 59 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993. URI: http://hdl.handle.net/2142/72538 Other Identifier(s): (UMI)AAI9329035 Date Available in IDEALS: 2014-12-17 Date Deposited: 1993
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