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Thesis_2nd_version.pdf (514.13 KB)
ETD Abstract Container
Abstract Header
Translates of homogeneous measures associated with observable subgroups
Author Info
ZHANG, RUNLIN
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1586431650388853
Abstract Details
Year and Degree
2020, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
Let G be a linear algebraic group over Q, Γ be an arithmetic lattice and H be an observable Q-subgroup. There is an H-invariant measure μ_H supported on the closed submanifold HΓ/Γ which we assume to be infinite. Given a sequence {g_n} in G we study the limiting behavior of (g_n)∗μ_H under the weak-∗ topology. In the non-divergent case we give a rather complete classification. We further supplement this by giving a criterion of non-divergence and prove non-divergence for arbitrary sequence {g_n} for certain large H. We also discuss some examples and applications of our result. This work can be viewed as a natural extension of the work of Eskin– Mozes–Shah and Shapira–Zheng.
Committee
Nimish Shah (Advisor)
James Cogdell (Committee Member)
Andrey Gogolev (Committee Member)
Pages
75 p.
Subject Headings
Mathematics
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Citations
ZHANG, R. (2020).
Translates of homogeneous measures associated with observable subgroups
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1586431650388853
APA Style (7th edition)
ZHANG, RUNLIN.
Translates of homogeneous measures associated with observable subgroups.
2020. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1586431650388853.
MLA Style (8th edition)
ZHANG, RUNLIN. "Translates of homogeneous measures associated with observable subgroups." Doctoral dissertation, Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1586431650388853
Chicago Manual of Style (17th edition)
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Document number:
osu1586431650388853
Download Count:
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Copyright Info
© 2020, some rights reserved.
Translates of homogeneous measures associated with observable subgroups by RUNLIN ZHANG is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by The Ohio State University and OhioLINK.