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2014 The pillowcase distribution and near-involutions
Rodolfo Rios-Zertuche
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Electron. J. Probab. 19: 1-22 (2014). DOI: 10.1214/EJP.v19-3626


In the context of the Eskin-Okounkov approach to the calculation of the volumes of the different strata of the moduli space of quadratic differentials, the important ingredients are the pillowcase weight probability distribution on the space of Young diagrams, and the asymptotic study of characters of permutations that near-involutions. In this paper we present various new results for these objects. Our results give light to unforeseen difficulties in the general solution to the problem, and they simplify some of the previous proofs.


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Rodolfo Rios-Zertuche. "The pillowcase distribution and near-involutions." Electron. J. Probab. 19 1 - 22, 2014.


Accepted: 15 December 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1354.20007
MathSciNet: MR3296532
Digital Object Identifier: 10.1214/EJP.v19-3626

Primary: 20C32
Secondary: 32G15 , 62E20

Keywords: limit shape , quadratic differentials , Symmetric group , variational calculus

Vol.19 • 2014
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