%0 Journal Article
%T The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures
%+ Institut de Mathématiques de Marseille (I2M)
%+ Steklov Mathematical Institute [Moscow] (SMI | RAS)
%+ Institute for Information Transmission Problems
%+ Vysšaja škola èkonomiki = National Research University Higher School of Economics [Moscow] (HSE)
%A Bufetov, Alexander I.
%A Qiu, Yanqi
%Z Bufetov is also supported in part by the Grant MD-2859.2014.1 of the President of the Russian Federation, by the Programme "Dynamical systems and mathematical control theory" of the Presidium of the Russian; Qiu is also supported in part by the ANR grant 2011-BS01-00801. Academy of Sciences, by the ANR under the project "VALET" of the Programme JCJC SIMI 1, and by the RFBR grants 11-01-00654, 12-01-31284,12-01-33020, 13-01-12449
%Z 45 pages
%< avec comité de lecture
%@ 0004-2080
%J Arkiv för Matematik
%I Royal Swedish Academy of Sciences, Institut Mittag-Leffler
%V 54
%N 2
%P 403 - 435
%8 2016-10
%D 2016
%Z 1402.5230
%R 10.1007/s11512-016-0230-x
%K Pickrell measures
%K ergodic decompositions
%K determinantal measures
%K Jacobi orthogonal polynomial ensembles
%K scaling limits
%Z Mathematics [math]/Functional Analysis [math.FA]
%Z Mathematics [math]/Dynamical Systems [math.DS]
%Z Mathematics [math]/Probability [math.PR]
%Z Mathematics [math]/Representation Theory [math.RT]Journal articles
%X The main result of this paper, Theorem 1.1, gives explicit formulae for the kernels of the ergodic decomposition measures for infinite Pickrell measures on spaces of infinite complex matrices. The kernels are obtained as the scaling limits of Christoffel-Uvarov deformations of Jacobi orthogonal polynomial ensembles.
%G English
%Z The authors are supported by A*MIDEX project(No. ANR-11-IDEX- 0001-02)
%Z financed by Programme "Investissements d'Avenir" of the Government of the French Republic managed by the French National Research Agency (ANR) Programme "Investissements d'Avenir" of the Government of the French Republic managed by the French National Research Agency (ANR)
%2 https://hal.science/hal-00957661/document
%2 https://hal.science/hal-00957661/file/Scaling_limits_of_Christoffel-Uvarov_deformations_of_Jacobi_orthogonal_ensembles.pdf
%L hal-00957661
%U https://hal.science/hal-00957661
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ TDS-MACS
%~ CERCLE
%~ ANR