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NCTS Distinguished Lecture
11:00 - 12:00, July 31, 2017 (Monday)
Room 440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
The Two-dimensional Coulomb Plasma
Horng-Tzer Yau (Harvard University)

For the two-dimensional one-component Coulomb plasma, we derive an asymptotic expansion of the free energy up to order , the number of particles of the gas, with an effective error bound for some constant .
This expansion is based on approximating the Coulomb gas by a quasi-free Yukawa gas.
Further, we prove that the fluctuations of the linear statistics are given by a Gaussian free field at any positive temperature.

Abstract: events_1_170704070554640.pdf

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