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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 18, Fasc. 2,
pages 399 - 410
 

DEFORMATIONS OF THE SEMICIRCLE LAW DERIVED FROM RANDOM WALKS ON FREE GROUPS

Yukihiro Hashimoto

Abstract: New 1 -parameter families of central limit distributions are investigated by means of random walks on trees associated with free groups under two kinds of states: one is Haagerup’s function and the other is a spherical function associated with unitary representations of the principal series. Those families give rise to deformations of Wigner’s semicircle distribution by non-symmetric probability measures.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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