Deformations of the semicircle law derived from random walks on free groups

• Autorzy: Hashimoto Y.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Wigner’s semicircle distribution; central limit distributions; Haagerup’s function; spherical function

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 1998
• Tom: Vol. 18, Fasc. 2
• Strony: 399--410
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Hashimoto Y.

• Graduate School of Polymathematics, Nagoya University, Chikusa-ku, Nagoya, 464-8602, Japan

Bibliografia

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