Spectral gap for random Schottky surfaces

2024/07/31 by Calderón, Irving, Magee, Michael, Naud, Frédéric · 1 citation
#58J50 #60B20 #FOS: Mathematics #Probability (math.PR) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2407.21506

Abstract

We establish a spectral gap for resonances of the Laplacian of random Schottky surfaces, which is optimal according to a conjecture of Jakobson and Naud.

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