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Free Analog of Pressure and Its Legendre Transform

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Abstract

The free analog of the pressure is introduced for multivariate noncommutative random variables and its Legendre transform is compared with Voiculescu’s microstate free entropy.

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Authors and Affiliations

  1. Graduate School of Information Sciences, Tohoku University, Aoba-ku, Sendai, 980-8579, Japan

    Fumio Hiai

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  1. Fumio Hiai
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Communicated by Y. Kawahigashi

Supported in part by Grant-in-Aid for Scientific Research (C)14540198 and by the program “R&D support scheme for funding selected IT proposals” of the Ministry of Public Management, Home Affairs, Posts and Telecommunications.

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Hiai, F. Free Analog of Pressure and Its Legendre Transform. Commun. Math. Phys. 255, 229–252 (2005). https://doi.org/10.1007/s00220-004-1259-4

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  • DOI: https://doi.org/10.1007/s00220-004-1259-4

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