Universality for conditional measures of the Bessel point process Articles

The Bessel point process is a rigid point process on the positive real line and its conditional measure on a bounded interval [0,R] is almost surely an orthogonal polynomial ensemble. In this paper, we show that if R 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.

bessel point process; rigidity; conditional measures; orthogonal polynomial ensembles; asymptotics; riemann-hilbert analysis

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