Diffusion hypercontractivity via generalized density manifold

DOI10.1007/S41884-023-00124-XzbMATH Open1542.9403MaRDI QIDQ6558543

Wuchen Li

Publication date: 19 June 2024

Published in: Information Geometry (Search for Journal in Brave)

zbMATH Keywords

information theorygeneralized Poincaré inequalitygeneralized log-Sobolev inequalitygeneralized Talagrand inequalitygeneralized Yano formulamean-field Bakry-Emery calculus

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Information theory (general) (94A15) Optimal transportation (49Q22)

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