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Additive polynomial flows on tori in positive characteristic
Ustian, Alex L.

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)

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Ustian, A. (2012). Additive polynomial flows on tori in positive characteristic. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Ustian, Alex. "Additive polynomial flows on tori in positive characteristic." Electronic Thesis or Dissertation. Ohio State University, 2012. OhioLINK Electronic Theses and Dissertations Center. 25 Sep 2017.

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Ustian, Alex "Additive polynomial flows on tori in positive characteristic." Electronic Thesis or Dissertation. Ohio State University, 2012. https://etd.ohiolink.edu/

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