Back to results

University of Illinois at Urbana-Champaign

The Cat Map on Prime Lattices

Abstract

dc:description

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.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Gaspari, Gregory
Contributors dc:contributor
  • Palmore, Julian

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
Identifier
(UMI)AAI9329035
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/72538

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Gaspari, Gregory. The Cat Map on Prime Lattices. Dissertation thesis, University of Illinois at Urbana-Champaign, 2014. http://hdl.handle.net/2142/72538