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You searched for `+publisher:"Georgia Tech" +contributor:("William Green")`

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Georgia Tech

1. Khadivi, Mohammad Reza. Operator theory and infinite networks.

Degree: PhD, Mathematics, 1988, Georgia Tech

URL: http://hdl.handle.net/1853/30019

Subjects/Keywords: Integrals, Infinite; Operator theory; Hilbert space

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APA (6^{th} Edition):

Khadivi, M. R. (1988). Operator theory and infinite networks. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/30019

Chicago Manual of Style (16^{th} Edition):

Khadivi, Mohammad Reza. “Operator theory and infinite networks.” 1988. Doctoral Dissertation, Georgia Tech. Accessed December 15, 2019. http://hdl.handle.net/1853/30019.

MLA Handbook (7^{th} Edition):

Khadivi, Mohammad Reza. “Operator theory and infinite networks.” 1988. Web. 15 Dec 2019.

Vancouver:

Khadivi MR. Operator theory and infinite networks. [Internet] [Doctoral dissertation]. Georgia Tech; 1988. [cited 2019 Dec 15]. Available from: http://hdl.handle.net/1853/30019.

Council of Science Editors:

Khadivi MR. Operator theory and infinite networks. [Doctoral Dissertation]. Georgia Tech; 1988. Available from: http://hdl.handle.net/1853/30019

Georgia Tech

2. Moeller, Todd Keith. Conley-Morse Chain Maps.

Degree: PhD, Mathematics, 2005, Georgia Tech

URL: http://hdl.handle.net/1853/7221

We introduce a new class of Conley-Morse chain maps for the purpose of comparing the qualitative structure of flows across multiple scales.
Conley index theory generalizes classical Morse theory as a tool for studying the dynamics of flows. The qualitative structure of a flow, given a Morse decomposition, can be stored algebraically as a set of homology groups (Conley indices) and a boundary map between the indices (a connection matrix). We show that as long as the qualitative structures of two flows agree on some, perhaps coarse, level we can construct a chain map between the corresponding chain complexes that preserves the relations between the (coarsened) Morse sets. We present elementary examples to motivate applications to data analysis.
*Advisors/Committee Members: Konstantin Mischaikow (Committee Chair), Greg Turk (Committee Member), Guillermo Goldsztein (Committee Member), Margaret Symington (Committee Member), William Green (Committee Member).*

Subjects/Keywords: Conley index; Morse theory; Data analysis; Mathematical statistics; Morse theory; Algebraic topology; Homology theory

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Moeller, T. K. (2005). Conley-Morse Chain Maps. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/7221

Chicago Manual of Style (16^{th} Edition):

Moeller, Todd Keith. “Conley-Morse Chain Maps.” 2005. Doctoral Dissertation, Georgia Tech. Accessed December 15, 2019. http://hdl.handle.net/1853/7221.

MLA Handbook (7^{th} Edition):

Moeller, Todd Keith. “Conley-Morse Chain Maps.” 2005. Web. 15 Dec 2019.

Vancouver:

Moeller TK. Conley-Morse Chain Maps. [Internet] [Doctoral dissertation]. Georgia Tech; 2005. [cited 2019 Dec 15]. Available from: http://hdl.handle.net/1853/7221.

Council of Science Editors:

Moeller TK. Conley-Morse Chain Maps. [Doctoral Dissertation]. Georgia Tech; 2005. Available from: http://hdl.handle.net/1853/7221