Department of

March 2016 April 2016 May 2016 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa 1 2 3 4 5 1 2 1 2 3 4 5 6 7 6 7 8 9 10 11 12 3 4 5 6 7 8 9 8 9 10 11 12 13 14 13 14 15 16 17 18 19 10 11 12 13 14 15 16 15 16 17 18 19 20 21 20 21 22 23 24 25 26 17 18 19 20 21 22 23 22 23 24 25 26 27 28 27 28 29 30 31 24 25 26 27 28 29 30 29 30 31

Thursday, April 7, 2016

**Abstract:** Existence of the correlation measures for the Farey sequence and a way of expressing them were investigated in a 2005 joint work of Zaharescu and myself. In this talk we we will discuss some potential applications to estimating the moments of eigenvalues of a certain interesting family of (non-random) large matrices. This is work in progress with Maksym Radziwill and Alexandru Zaharescu.