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Harmonic analysis on the infinite symmetric group / Alexei Borodin.
LIBRA QA001 2001 .B736
Available from offsite location
LIBRA Diss. POPM2001.18
Available from offsite location
- Format:
- Book
- Manuscript
- Microformat
- Thesis/Dissertation
- Author/Creator:
- Borodin, Alexei.
- Language:
- English
- Subjects (All):
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- Local Subjects:
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- Physical Description:
- iv, 71 pages ; 29 cm
- Production:
- 2001.
- Summary:
- The main result of the thesis is a complete description of the decomposition of a certain natural deformation of the regular representation of the infinite symmetric group into irreducibles. The decomposition is given by a probability measure on an infinite-dimensional simplex. The measure is interpreted as a stochastic point process on the punctured real line, and all correlation functions of this process are explicitly computed.
- Notes:
- Adviser: Alexandre A. Kirillov.
- Thesis (Ph.D. in Mathematics) -- University of Pennsylvania, 2001.
- Includes bibliographical references and index.
- Local Notes:
- University Microfilms order no.: 3003600.
- OCLC:
- 244972361
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