On the spectrum of random anti-symmetric and tournament matrices
نویسندگان
چکیده
منابع مشابه
Symmetric Groups and Random Matrices
The convolution of indicators of two conjugacy classes on the symmetric group Sq is usually a complicated linear combination of indicators of many conjugacy classes. Similarly, a product of the moments of the Jucys–Murphy element involves many conjugacy classes with complicated coefficients. In this article we consider a combinatorial setup which allows us to manipulate such products easily and...
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0. Introduction 1. Borel decomposition and the 2-Toda lattice 2. Two-Toda τ -functions and Pfaffian τ̃ -functions 3. The Pfaffian Toda lattice and skew-orthogonal polynomials 4. The (s = −t)-reduction of the Virasoro vector fields 5. A representation of the Pfaffian τ̃ -function as a symmetric matrix integral 6. String equations and Virasoro constraints 7. Virasoro constraints with boundary terms...
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ژورنال
عنوان ژورنال: Random Matrices: Theory and Applications
سال: 2016
ISSN: 2010-3263,2010-3271
DOI: 10.1142/s2010326316500106