skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 5

Search for: All records

Creators/Authors contains: "Damanik, David"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; (, Journal of Functional Analysis)
    Free, publicly-accessible full text available December 1, 2026
  2. ; ; (, Journal of Spectral Theory)
    We discuss gap labeling for operators generated by the full shift over a compact subset of the real line. The set of Johnson–Schwartzman gap labels is the algebra generated by weights of clopen subsets of the support of the single-site distribution. Due to the presence of a dense set of periodic orbits, it is impossible to find a sampling function for which all gaps allowed by the gap labeling theorem open simultaneously. Nevertheless, for a suitable choice of the single-site distribution, we show that for generic sampling functions, each spectral gap opens in the large-coupling limit. Furthermore, we show that for other choices of weights there are gaps that cannot open for purely diagonal operators. 
    more » « less
    Free, publicly-accessible full text available August 22, 2026
  3. ; ; ; (, Experimental Mathematics)
    Full Text Available 
  4. ; ; (, Indagationes Mathematicae)
    Full Text Available 
  5. ; ; ; (, Mathematische Zeitschrift)
    Full Text Available 
  6. ; ; (, Journal de Mathématiques Pures et Appliquées)
    Full Text Available 
  7. ; ; (, Journal of Spectral Theory)
    Full Text Available 
  8. ; ; (, Journal of Functional Analysis)
    Full Text Available 
  9. ; ; (, Annales Henri Poincaré)
    Full Text Available 
  10. ; ; ; (, Communications in Mathematical Physics)
    Full Text Available