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Pré-Publication, Document De Travail Année : 2016

Conditional measures of determinantal point processes

Résumé

For a class of one-dimensional determinantal point processes including those induced by orthogonal projections with integrable kernels satisfying a growth condition, it is proved that their conditional measures, with respect to the configuration in the complement of a compact interval, are orthogonal polynomial ensembles with explicitly found weights. Examples include the sine-process and the process with the Bessel kernel. The argument uses the quasi-invariance, established in [1], of our point processes under the group of piecewise isometries of the real line.

Dates et versions

hal-01479097 , version 1 (28-02-2017)

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Citer

Alexander I. Bufetov. Conditional measures of determinantal point processes. 2016. ⟨hal-01479097⟩
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