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【系综合学术报告】2024年第32期 || Eigenvalue statistics for random polymer model

报告题目:Eigenvalue statistics for random polymer model

报告人:Fumihiko Nakano教授(日本东北大学)



摘要: The random dimer model is a one-dimensional random Schroedinger operator with pure point spectrum, but has finite number of energies (called critical energies) where the Lyapunov exponent vanishes and have certain diffusive behavior. We study the local eigenvalue statistics of this model, and prove that, under some technical conditions, it has (i) clock statistics on the critical energies, and (ii) Poisson statistics elsewhere.  This is a joint work with P. Hislop(Kentucky) and X. Zeng(Strasbourg)