Universality for Conditional Measures of the Bessel Point Process
Random matrices theory and applications(2020)
摘要
The Bessel point process is a rigid point process on the positive real line and its conditional measure on a bounded interval [Formula: see text] is almost surely an orthogonal polynomial ensemble. In this paper, we show that if [Formula: see text] tends to infinity, one almost surely recovers the Bessel point process. In fact, we show this convergence for a deterministic class of probability measures, to which the conditional measure of the Bessel point process almost surely belongs.
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关键词
Bessel point process,rigidity,conditional measures,orthogonal polynomial ensembles,asymptotics,Riemann-Hilbert analysis
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