# Mathematics Colloquia and Seminars

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### Gaussian Approximation of the Distribution of Strongly Repelling Particles on the Unit Circle

**Student-Run Applied & Math Seminar**

Speaker: | Yuanyuan Xu, UC Davis |

Location: | 2112 MSB |

Start time: | Thu, Nov 30 2017, 12:10PM |

Random Matrix Theory is a fast developing area with deep connections to Probability, Statistical Mechanics, Number Theory, and Quantum Theory, etc. In this talk, I will start with several important random matrix ensembles, including Wigner Matrices and beta ensembles. Then I will present some previous work on Circular beta ensemble, in particular the Circular Unitary Ensemble(CUE) and its connection to Riemann zeta function. Finally, I will set up an interacting particle system on the unit circle with stronger repulsion than that of CUE and prove the Gaussian approximation of the distribution of the particles in this model. This is joint work with Professor Soshnikov.

If you would like to help us estimate how much pizza to order you can RSVP at this link, even if you aren't sure you can make it: https://docs.google.com/spreadsheets/d/1wyOmPJvaqsSngBuIcjnN3vLAWeRFTyru47HFaT0wlMc/edit#gid=849052799 (Iphone users, be careful to choose the correct date).