INDIGO Home University of Illinois at Urbana-Champaign logo uic building uic pavilion uic student center

Diophantine properties of groups of toral automorphisms

Show full item record

Bookmark or cite this item:

Files in this item

File Description Format
PDF FINKELSHTEIN-DISSERTATION-2017.pdf (450KB) (no description provided) PDF
Title: Diophantine properties of groups of toral automorphisms
Author(s): Finkelshtein, Vladimir
Advisor(s): Furman, Alex
Contributor(s): Groves, Daniel; Whyte, Kevin; Hurder, Steve; Hartman, Yair; Furman, Alex
Department / Program: Mathematics, Statistics and Computer Science
Degree Granting Institution: University of Illinois at Chicago
Degree: PhD, Doctor of Philosophy
Genre: Doctoral
Subject(s): diophantine approximation, spectral gap, hyperbolic groups
Abstract: This dissertation studies a shrinking target problem for the action of an arbitrary subgroup of SL(2,Z) on the 2-torus. This can also be viewed as a non-commutative Diophantine approximation problem. The methods require construction of spectrally optimal random walks on groups acting properly cocompactly on Gromov hyperbolic spaces. Additionally, similar estimates for this problem in higher dimension can be obtained by using harmonic analysis.
Issue Date: 2017-06-06
Type: Thesis
Date Available in INDIGO: 2017-11-01
Date Deposited: August 201

This item appears in the following Collection(s)

Show full item record


Country Code Views
Ukraine 20
China 8
United States of America 8
Russian Federation 6
Germany 2


My Account


Access Key