TOWARDS OPTIMAL SPECTRAL GAPS IN LARGE GENUS

• 成果类型: Editorial Material
• 署名作者: Lipnowski, Michael; Wright, Lex
• 署名单位: University System of Ohio; Ohio State University; University of Michigan System; University of Michigan
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/23-AOP1657
• 发表日期: 2024
• 页码: 545-575
• 关键词: random hyperbolic surfaces; weil-petersson volumes; MODULI SPACES; CLOSED GEODESICS; EIGENVALUE; asymptotics; lengths; GROWTH; PROOF

摘要

We show that the Weil-Petersson probability that a random surface has first eigenvalue of the Laplacian less than 3/16-epsilon goes to zero as the genus goes to infinity.