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 › peer-review

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 2004
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Mathematical Physics
Applied Mathematics

Access to Document

10.1142/S0219025704001505

Cite this

@article{b42b92643b894617a5d6a0a49ff667d7,

title = "Logarithmic Sobolev inequality for H0s-metric on pinned loop groups",

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.",

author = "Yuzuru Inahama",

year = "2004",

month = mar,

doi = "10.1142/S0219025704001505",

language = "English",

volume = "7",

pages = "1--26",

journal = "Infinite Dimensional Analysis, Quantum Probability and Related Topics",

issn = "0219-0257",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

TY - JOUR

T1 - Logarithmic Sobolev inequality for H0s-metric on pinned loop groups

AU - Inahama, Yuzuru

PY - 2004/3

Y1 - 2004/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=7444228027&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=7444228027&partnerID=8YFLogxK

U2 - 10.1142/S0219025704001505

DO - 10.1142/S0219025704001505

M3 - Article

AN - SCOPUS:7444228027

VL - 7

SP - 1

EP - 26

JO - Infinite Dimensional Analysis, Quantum Probability and Related Topics

JF - Infinite Dimensional Analysis, Quantum Probability and Related Topics

SN - 0219-0257

IS - 1

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this