Date of Award
Spring 2024
Project Type
Dissertation
Program or Major
Mathematics
Degree Name
Doctor of Philosophy
First Advisor
Liming Ge
Second Advisor
Maria Basterra
Third Advisor
Rita A. Hibschweiler
Abstract
We prove an entropic version of van der Corput’s difference theorem: the entropy of a sequence is equal to the entropy of its differences. This reveals a correspondence between the theory of uniform distribution mod 1 and entropy. As applications, we establish several entropic versions of other uniform distribution theorems.
Recommended Citation
Gu, Weichen, "ON ENTROPIC VAN DER CORPUT’S DIFFERENCE THEOREM" (2024). Doctoral Dissertations. 2829.
https://scholars.unh.edu/dissertation/2829
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