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math-ph2021
The two-dimensional one-component plasma is hyperuniform
Thomas Leblé
We prove that at all positive temperatures in the bulk of a classical two-dimensional one-component plasma (also called Coulomb or log-gas, or jellium) the variance of the number o…
math-ph2017
CLT for fluctuations of -ensembles with general potential
Florent Bekerman, Thomas Leblé, Sylvia Serfaty
We prove a central limit theorem for the linear statistics of one-dimensional log-gases, or -ensembles. We use a method based on a change of variables which allows to treat fair…
math-ph2014★ 2 cited
A Uniqueness Result for Minimizers of the 1D Log-gas Renormalized Energy
Thomas Leblé
Sandier and Serfaty studied the one-dimensional Log-gas model, in particular they gave a crystallization result by showing that the one-dimensional lattice is a minimi…