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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Large gap asymptotics at the hard edge for Muttalib-Borodin ensembles

## Large gap asymptotics at the hard edge for Muttalib-Borodin ensemblesAdd to your list(s) Download to your calendar using vCal - Jonatan Lenells (KTH - Royal Institute of Technology )
- Monday 09 September 2019, 14:00-15:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. CATW01 - The complex analysis toolbox: new techniques and perspectives I will present joint work with Christophe Charlier and Julian Mauersberger. where the constants $\rho$, $a$, and $b$ have been derived explicitly via a differential identity in $s$ and the analysis of a Riemann-Hilbert problem. Their method can be used to evaluate $c$ (with more efforts), but does not allow for the evaluation of $C$. In this work, we obtain expressions for the constants $c$ and $C$ by employing a differential identity in $\theta$. When $\theta$ is rational, we find that $C$ can be expressed in terms of Barnes' $G$-function. We also show that the asymptotic formula can be extended to all orders in $s$. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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