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Orbital Free Pressure and Its Legendre Transform

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Abstract

Orbital counterparts of the free pressure and its Legendre transform (or η- entropy) are introduced and studied in comparison with other entropy quantities in free probability theory and in relation to random multi-matrix models.

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Authors and Affiliations

  1. Tohoku University (Emeritus), Hakusan 3-8-16-303, Abiko, 270-1154, Japan

    Fumio Hiai

  2. Graduate School of Mathematics, Kyushu University, Fukuoka, 819-0395, Japan

    Yoshimichi Ueda

Authors
  1. Fumio Hiai
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  2. Yoshimichi Ueda
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Corresponding author

Correspondence to Yoshimichi Ueda.

Additional information

Communicated by Y. Kawahigashi

Y. Ueda is supported in part by Grant-in-Aid for Scientific Research (C) 24540214.

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Hiai, F., Ueda, Y. Orbital Free Pressure and Its Legendre Transform. Commun. Math. Phys. 334, 275–300 (2015). https://doi.org/10.1007/s00220-014-2135-5

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  • DOI: https://doi.org/10.1007/s00220-014-2135-5

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