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New York Journal of Mathematics New York J. Math
In this paper we use generating function methods to obtain new asymptotic results about spaces of F-stable maximal tori in GLn(Fq), Sp 2n (Fq), and SO2n+1(Fq). We recover stability results of Church-Ellenberg-Farb and Jiménez Rolland-Wilson for "polynomial" statistics on these spaces, and we compute explicit formulas for their stable values. We derive a double generating function for the characters of the cohomology of flag varieties in type B/C, which we use to obtain analogs in type B/C offatcat:7ldaxx7iffgkbdnr4foylrodbi