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Ukrainian Mathematical Bulletin

Volume 2, Issue 1, 2005  pp. 15-37.

Entropy of the Shift on $I\!I_1$-Representations \\of the Group $S(\infty)$

Authors:  M. S. Boiko and N. I. Nessonov
Author institution: Institute for Low Temperature Physics and Engineering, Department of Mathematics, 47 Lenin Avenue, Kharkiv, Ukraine

Summary:  We have obtained the explicit formulae for the CNT-entropy of the shift on $I\!I_1$-representations of the infinite symmetric group $S(\infty)$ in terms of Thoma-parameters.


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