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ETD Abstract Container

Abstract Header

Configuration spaces of repulsive particles on a metric graph

Kim, Jimin
http://rave.ohiolink.edu/etdc/view?acc_num=osu1658493075514462

Abstract Details

2022, Doctor of Philosophy, Ohio State University, Mathematics.
We study the configuration space of points on a metric graph under the proximity condition where no two points can be closer than a constant number. We focus on how the topology of the configuration space changes. There are two main research frameworks: discrete Morse theory and the homological phase transition.
Matthew Kahle (Advisor)
Facundo Memoli (Committee Member)
Jean-Francois Lafont (Committee Member)
101 p.
Mathematics
configuration space, morse theory, topology, combinatorics

Recommended Citations

Citations

  • Kim, J. (2022). Configuration spaces of repulsive particles on a metric graph [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1658493075514462

    APA Style (7th edition)

  • Kim, Jimin. Configuration spaces of repulsive particles on a metric graph. 2022. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1658493075514462.

    MLA Style (8th edition)

  • Kim, Jimin. "Configuration spaces of repulsive particles on a metric graph." Doctoral dissertation, Ohio State University, 2022. http://rave.ohiolink.edu/etdc/view?acc_num=osu1658493075514462

    Chicago Manual of Style (17th edition)

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This open access ETD is published by The Ohio State University and OhioLINK.