Titlebook: Applications of Random Matrices in Physics; édouard Brézin,Vladimir Kazakov,Anton Zabrodin Conference proceedings 2006 Springer Science+Bu

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978-1-4020-4530-1Springer Science+Business Media B.V. 2006

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RANDOM MATRICES AND NUMBER THEORY,Specifically, I will focus on how random matrix theory has been used to shed new light on some classical problems relating to the value distributions of the Riemann zeta-function and other .-functions, and on applications to modular forms and elliptic curves.

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MATRIX MODELS OF MODULI SPACE,tion numbers on moduli space, and the Penner model that computes the virtual Euler characteristic of moduli space. Generalisations of the former model describe noncritical strings with . < 1 matter, while the latter can be generalised to describe amplitudes of . = 1 strings at selfdual radius.

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