Noncommutative central limit theorem for Gibbs temperature states

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

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.
Published
25.03.1995
How to Cite
AntonioukA. V., AntonioukA. V., and KondratievY. G. “Noncommutative Central Limit Theorem for Gibbs Temperature States”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 47, no. 3, Mar. 1995, pp. 299–306, https://umj.imath.kiev.ua/index.php/umj/article/view/5417.
Section
Research articles