Abstract
We investigate the interaction of functional rearrangements with information theoretic inequalities. In particular we will prove the Relative Fisher information from Gaussianity decreases on half-space rearrangement, as a consequence we get a qualitative sharpening of the usual Gaussian log-Sobolev inequality. Additionally, we compare this half space rearrangement’s interaction with distance from Gaussianity, with the spherical rearrangement’s role in entropy power inequalities.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
