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University of Illinois at Urbana-Champaign
On *Categories of Cohesive, Active Sets and Other Dynamic Systems
Abstract
dc:description"It is shown that a category-theoretic definition of chaotic system applies not only to the Smale horseshoe, a standard chaotic system, but also to Conway's ""Game of Life"" automaton. Symbolic dynamics of the ""Dining Philosophers"" relational system is computed. A category composed of stochastic matrices is defined and some of its elementary properties are developed. A categorical variant of symbolic dynamics is applied to a finite stochastic process. Using point-wise Kan extension formulas, conditions ensuring existence of certain representations among categories of dynamic systems are proved."
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
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Wojtowicz, Ralph Leonard
- Contributors dc:contributor
-
- Muncaster, Robert G.
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI3070478
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86808