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