3 papers
math.PR2026
A point process on the unit circle with mirror-type interactions
Christophe Charlier
We consider the point process \begin{align*} \frac{1}{Z_{n}}\prod_{1 \leq j < k \leq n} |e^{iθ_{j}}-e^{-iθ_{k}}|^β\prod_{j=1}^{n} dθ_{j}, \qquad θ_{1},\ldots,θ_{n} \in (-Ï,Ï…
math-ph2025
The two-dimensional Coulomb gas: fluctuations through a spectral gap
Yacin Ameur, Christophe Charlier, Joakim Cronvall
We study a class of radially symmetric Coulomb gas ensembles at inverse temperature , for which the droplet consists of a number of concentric annuli, having at least one bou…
math.PR2025
A point process on the unit circle with antipodal interactions
Christophe Charlier
We introduce the point process \begin{align*} \frac{1}{Z_{n}}\prod_{1 \leq j < k \leq n} |e^{iθ_{j}}+e^{iθ_{k}}|^β\prod_{j=1}^{n} dθ_{j}, \qquad θ_{1},\ldots,θ_{n} \in (-Ï,Ï…