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Additive polynomial flows on tori in positive characteristic

Ustian, Alex L.
http://rave.ohiolink.edu/etdc/view?acc_num=osu1337964917

Abstract Details

2012, Doctor of Philosophy, Ohio State University, Mathematics.
We study one-parameter flows given by additive polynomials on positive characteristic tori from the viewpoint of homogeneous dynamics. We will describe orbit closures, invariant measures, and equidistribution results with respect to these flows. We will observe many distinctly positive characteristic phenomena stemming from the existence of flows dependent on the Frobenius map.
Nimish Shah, PhD (Advisor)
Vitaly Bergelson, PhD (Committee Member)
Alexander Leibman, PhD (Committee Member)
Mathematics
positive characteristic; homogeneous dynamics

Recommended Citations

Citations

  • Ustian, A. L. (2012). Additive polynomial flows on tori in positive characteristic [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1337964917

    APA Style (7th edition)

  • Ustian, Alex. Additive polynomial flows on tori in positive characteristic. 2012. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1337964917.

    MLA Style (8th edition)

  • Ustian, Alex. "Additive polynomial flows on tori in positive characteristic." Doctoral dissertation, Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1337964917

    Chicago Manual of Style (17th edition)

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© 2012, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.