Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle
In this paper, we prove the anisotropic Shannon inequality for the Rényi entropy with the best constant on Folland-Stein homogeneous Lie groups. As a consequence, we also prove the optimal Shannon inequality in the same setting. Using a logarithmic Sobolev inequality in the setting of stratified groups, we prove a Heisenberg-type uncertainty principle in the latter setting.
Authors
- Marianna Chatzakou (ORCID: https://orcid.org/0000-0003-0853-3007)
- Anjali Shriwastawa
- Michael Ruzhansky
Institutions
- Queen Mary University of London (GB)
- Ghent University (BE)
- Banaras Hindu University (IN)
Publication Details
- Journal
- manuscripta mathematica
- Published
- 2026-03-14
- DOI
- https://doi.org/10.1007/s00229-026-01694-7
- Primary Topic
- Wireless Communication Security Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fonds Wetenschappelijk Onderzoek
- Universiteit Gent
- Vlaamse regering
- Engineering and Physical Sciences Research Council
- Bijzonder Onderzoeksfonds UGent