An introduction to fractal uncertainty principle
Name
1903.02599.pdf
Description
Accepted version
Size
6 MB
Format
Adobe PDF
Checksum (MD5)
03b227e597650d396e21534c71c3b3ab
Author(s)
Dyatlov, Semyon
Date Issued
2019
Journal
Journal of Mathematical Physics
Publisher
AIP Publishing
Version
Author's final manuscript
Abstract
© 2019 Author(s). Fractal uncertainty principle states that no function can be localized in both position and frequency near a fractal set. This article provides a review of recent developments on the fractal uncertainty principle and of their applications to quantum chaos, including lower bounds on mass of eigenfunctions on negatively curved surfaces and spectral gaps on convex cocompact hyperbolic surfaces.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1063/1.5094903
