Diffusions with polynomial eigenvectors via finite subgroups of O(3)
Probability
2015-07-07 v1 Commutative Algebra
Differential Geometry
Abstract
We provide new examples of diffusion operators in dimension 2 and 3 which have orthogonal polynomials as eigenvectors. Their construction rely on the finite subgroups of O(3) and their invariant polynomials.
Cite
@article{arxiv.1507.01394,
title = {Diffusions with polynomial eigenvectors via finite subgroups of O(3)},
author = {Dominique Bakry and Xavier Bressaud},
journal= {arXiv preprint arXiv:1507.01394},
year = {2015}
}