Wednesday, April 17, 2024 - 09:00 in ZOOM - Video Conference
Biorthogonal measures, polymer partition functions, and random matrices
A talk in the Seminar Zufallsmatrizen series by
Mattia Cafasso from University Angers
| Abstract: |
In this talk, I will describe a particular class of biorthogonal
measures related to discrete and semi-discrete polymers (Log-
Gamma, O'Connell-Yor, and mixed). More precisely, I will show that
the Laplace transform of the partition function of the mentioned
polymers coincides with the multiplicative statistics of these
biorthogonal measures. This result can be seen as a finite N variant
of the connection between the narrow wedge solution of the KPZ
equation and the Airy point process. It generalizes previous results
of Imamura and Sasamoto for the (homogeneous) O'Connell-Yor
polymer. Time permitting, I will show some applications to the
small-temperature limit of these polymers and their relation with
matrix models. These results have been obtained jointly with Tom
Claeys.
Please contact Lucas Hackl
(Lucas.Hackl@unimelb.edu.au) for details regarding access.
Within the CRC this talk is associated to the project(s): C6 |
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