Potential theory with multivariate kernels

@article{Bilyk2022PotentialTW,
  title={Potential theory with multivariate kernels},
  author={Dmitriy Bilyk and Damir Ferizovi'c and Alexey A. Glazyrin and Ryan Matzke and Josiah Park and O. V. Vlasiuk},
  journal={Mathematische Zeitschrift},
  year={2022}
}
In the present paper we develop the theory of minimization for energies with multivariate kernels, i.e. energies, in which pairwise interactions are replaced by interactions between triples or, more generally, n-tuples of particles. Such objects, which arise naturally in various fields, present subtle differences and complications when compared to the classical two-input case. We introduce appropriate analogues of conditionally positive definite kernels, establish a series of relevant results… 
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Positive definiteness and the Stolarsky invariance principle

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