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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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