The logarithmic derivative for point processes with equivalent Palm measures

Alexander I. Bufetov, Andrey V. Dymov, Hirofumi Osada

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    1 Citation (Scopus)


    The logarithmic derivative of a point process plays a key role in the general approach, due to the third author, to constructing diffusions preserving a given point process. In this paper we explicitly compute the logarithmic derivative for determinantal processes on R with integrable kernels, a large class that includes all the classical processes of random matrix theory as well as processes associated with de Branges spaces. The argument uses the quasi-invariance of our processes established by the first author.

    Original languageEnglish
    Pages (from-to)451-469
    Number of pages19
    JournalJournal of the Mathematical Society of Japan
    Issue number2
    Publication statusPublished - 2019

    All Science Journal Classification (ASJC) codes

    • Mathematics(all)


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