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Square Root Convexity of Fisher Information along Heat Flow in Dimension Two

Recently, Ledoux, Nair, and Wang proved that the Fisher information along the heat flow is log-convex in dimension one, that is [Formula: see text] for [Formula: see text] , where [Formula: see text] is a random variable with density function satisfying the heat equation. In this paper, we consider...

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Detalles Bibliográficos
Autores principales: Liu, Junliang, Gao, Xiaoshan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10137932/
https://www.ncbi.nlm.nih.gov/pubmed/37190344
http://dx.doi.org/10.3390/e25040558