Logarithmic Sobolev inequality for H0s-metric on pinned loop groups

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4 Citations (Scopus)

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 languageEnglish
Pages (from-to)1-26
Number of pages26
JournalInfinite Dimensional Analysis, Quantum Probability and Related Topics
Volume7
Issue number1
DOIs
Publication statusPublished - Mar 1 2004

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Logarithmic Sobolev Inequality
Lie groups
Loop Groups
Tensors
tensors
Metric
Ricci Tensor
Compact Lie Group
Asymptotic Behavior
Decrease

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics
  • Applied Mathematics

Cite this

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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.",
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