An introduction to fractal uncertainty principle

Type: Article

Publication Date: 2019-08-01

Citations: 16

DOI: https://doi.org/10.1063/1.5094903

Abstract

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 co-compact hyperbolic surfaces.

Locations

  • Journal of Mathematical Physics - View
  • arXiv (Cornell University) - View - PDF
  • DSpace@MIT (Massachusetts Institute of Technology) - View - PDF
  • DataCite API - View

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