Wednesday, November 16, 2022 - 09:00 in ZOOM - Video Conference
Multicritical edge/cusp scaling limit in random partitions
A talk in the Seminar Zufallsmatrizen series by
Taro Kimura from Université de Bourgogne
| Abstract: |
A partition is a sequence of non-increasing non-negative integers. It has been
known that a random distribution of partitions shows similar properties to
random matrices. For example, the scaling behavior of the largest increasing
subsequence of random permutation described by the Tracy-Widom
distribution is one of the primary results in this direction. In this talk, I would
discuss random partitions obeying the Schur measure having potentially
infinitely many parameters. In particular, I would show that higher analogs of
Airy and Pearcey kernels are obtained in the scaling limit of random partitions,
and discuss their properties. This talk is based on
https://arxiv.org/abs/2012.06424 and https://arxiv.org/abs/2208.07288 in
collaboration with A. Zahabi.
Please contact Gernot Akemann (akemann@physik.uni-bielefeld.de) for details regarding access.
Within the CRC this talk is associated to the project(s): C6 |
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