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Title: Near-Involutions, the Pillowcase Distribution, and Quadratic Differentials
Authors: Rios Zertuche Rios Zertuche, Rodolfo Antonio
Advisors: Okounkov, Andrei Y
Contributors: Mathematics Department
Subjects: Mathematics
Issue Date: 2012
Publisher: Princeton, NJ : Princeton University
Abstract: In the context of A. Eskin and A. Okounkov's approach to the calculation of the volumes of the different strata of the moduli space of quadratic differentials, two objects have a prominent role. Namely, the characters of near-involutions and the pillowcase weights. For the former we give a fairly explicit formula. On the other hand, the pillowcase weights induce a distribution on the space of Young diagrams. We analyze this distribution and prove several facts, including that its limit shape corresponds to the one induced by the uniform distribution, that the probability concentrates on the set of partitions with very similar 2-quotients, and that there is no hope for a full Central Limit Theorem.
Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog
Type of Material: Academic dissertations (Ph.D.)
Language: en
Appears in Collections:Mathematics

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