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Noncommutative central limit theorem for Gibbs temperature states

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Abstract

For Gibbs temperature states, the scheme of the proof of the noncommutative central limit theorem is given by using the commutative central limit theorem for corresponding Euclidean measures. Applications are constructed for the model of a temperature-anharmonic crystal and the generalized Ising model with compact continuous configuration space.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. Val Antonyuk, A. Vikt Antonyuk & Yu. G. Kondrat'ev

Authors
  1. A. Val Antonyuk
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  2. A. Vikt Antonyuk
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  3. Yu. G. Kondrat'ev
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 3, pp. 299–306, March, 1995.

This work was partially supported by the Foundation for Fundamental Research of the Ukrainian State Committee on Science and Technology.

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Antonyuk, A.V., Antonyuk, A.V. & Kondrat'ev, Y.G. Noncommutative central limit theorem for Gibbs temperature states. Ukr Math J 47, 351–359 (1995). https://doi.org/10.1007/BF01056296

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  • DOI: https://doi.org/10.1007/BF01056296

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