Abstract
In this paper we prove the logarithmic Sobolev inequality on pinned loop groups over compact Lie groups equipped with H0s-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 |
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Pages (from-to) | 1-26 |
Number of pages | 26 |
Journal | Infinite Dimensional Analysis, Quantum Probability and Related Topics |
Volume | 7 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 2004 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Mathematical Physics
- Applied Mathematics