Logarithmic Sobolev inequality for H0s-metric on pinned loop groups

Yuzuru Inahama

doi:10.1142/S0219025704001505

Logarithmic Sobolev inequality for H₀^s-metric on pinned loop groups

Yuzuru Inahama

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

In this paper we prove the logarithmic Sobolev inequality on pinned loop groups over compact Lie groups equipped with H₀^s-metric (s > 1/2). We also compute the Ricci tensor with respect to H₀ ^s-metric and investigate its asymptotic behavior as s decreases to 1/2.

Original language	English
Pages (from-to)	1-26
Number of pages	26
Journal	Infinite Dimensional Analysis, Quantum Probability and Related Topics
Volume	7
Issue number	1
DOIs	https://doi.org/10.1142/S0219025704001505
Publication status	Published - Mar 1 2004
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Mathematical Physics
Applied Mathematics

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10.1142/S0219025704001505

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Inahama, Y. (2004). Logarithmic Sobolev inequality for H₀^s-metric on pinned loop groups. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 7(1), 1-26. https://doi.org/10.1142/S0219025704001505

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