HAL (France)
open access
Asymptotic count of simple closed geodesics on hyperbolic surfaces of large genus and with many cusps, and a topological recursion algorithm for WKB solutions
The work is organised into two main parts. Part I: Asymptotic Counting of Geodesics The first part presents a proof of a conjecture proposed by Delecroix, Goujard, Zograf, and Zorich. This conjecture describes the large genus asymptotic behavior of the ratio of frequencies of separating versus nonse
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