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Orbital Free Pressure and Its Legendre Transform

Authors :
Fumio Hiai
Yoshimichi Ueda
Source :
Communications in Mathematical Physics. 334:275-300
Publication Year :
2014
Publisher :
Springer Science and Business Media LLC, 2014.

Abstract

Orbital counterparts of the free pressure and its Legendre transform (or $\eta$-entropy) are introduced and studied in comparison with other entropy quantities in free probability theory and in relation to random multi-matrix models.<br />Comment: v2; 23 pages; to appear in CMP

Subjects

Subjects :
Physics
Free Product
Probability (math.PR)
Mathematics - Operator Algebras
Complex system
Statistical and Nonlinear Physics
Legendre Transform
Free probability
Legendre transformation
Random Matrix Model
symbols.namesake
Tracial State
Quantum Spin System
FOS: Mathematics
symbols
Statistical physics
Operator Algebras (math.OA)
Mathematics - Probability
Mathematical Physics

Details

ISSN :
14320916 and 00103616
Volume :
334
Database :
OpenAIRE
Journal :
Communications in Mathematical Physics
Accession number :
edsair.doi.dedup.....a7a71e68e9b69809aa73c3ecd46ff82d
Full Text :
https://doi.org/10.1007/s00220-014-2135-5
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