#### Computing Equilibrium Measures

Equilibrium measure problems arise in the continuous mean-field limit of attractive-repulsive particle systems and have diverse applications ranging from swarming behavior in animals to self-assembly properties of particle systems.

As power law interactions involve Riesz potentials, this special case also relates to fractional differential equations.

*Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension*

T. S. Gutleb, J. A. Carrillo, S. Olver. arXiv*Computing Equilibrium Measures with Power Law Kernels*

T. S. Gutleb, J. A. Carrillo, S. Olver.*Mathematics of Computation (2022)*. arXiv DOI