2019
Том 71
№ 11

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Noncommutative central limit theorem for Gibbs temperature states

Antoniouk A. Val., Antoniouk A. Vict., Kondratiev Yu. G.

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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.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 3, pp 351-359.

Citation Example: Antoniouk A. Val., Antoniouk A. Vict., Kondratiev Yu. G. Noncommutative central limit theorem for Gibbs temperature states // Ukr. Mat. Zh. - 1995. - 47, № 3. - pp. 299–306.

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