Interlacing adjacent levels of β--Jacobi corners processes
Abstract
We study the asymptotics of the global fluctuations for the difference between two adjacent levels in the β--Jacobi corners process (multilevel and general β extension of the classical Jacobi ensemble of random matrices). The limit is identified with the derivative of the 2d Gaussian Free Field. Our main tools are integral forms for the (Macdonald-type) difference operators originating from the shuffle algebra.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.