Call a stratum in the moduli space of quadratic differentials odd if the orders of the singularities defining the stratum are all odd. Let Q be a component of an odd stratum of dimension h. We show that the number of periodic Teichmüller geodesics in Q of length at most T is
asymptotic to $e^{hT}/hT$ as $T\to\infty$. This slightly extends the result of Eskin and Mirzakhani, with a different proof.

Lecture #12596

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