Gaussian free field, Schramm-Loewner evolution and Liouville quantum gravity

Author(s)
Wang, Menglu
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Massachusetts Institute of Technology. Department of Mathematics.
Advisor
Scott Sheffield.
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Abstract
Consider an instance h of the Gaussian free field on a simply connected domain ... We study several properties of the level lines: continuity, monotonicity, reversibility and target-independence ... In the second part, we study Liouville quantum gravity(LQG).
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2017.
 
Cataloged from PDF version of thesis.
 
Includes bibliographical references (pages 153-155).
 
Date issued
2017
URI
http://hdl.handle.net/1721.1/112881
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.
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