%0 Generic %1 branden2018hodgeriemann %A Brändén, Petter %A Huh, June %D 2018 %K Huh SLP %T Hodge-Riemann relations for Potts model partition functions %U http://arxiv.org/abs/1811.01696 %X We prove that the Hessians of nonzero partial derivatives of the (homogenous) multivariate Tutte polynomial of any matroid have exactly one positive eigenvalue on the positive orthant when $0<q1$. Consequences are proofs of the strongest conjecture of Mason and negative dependence properties for $q$-state Potts model partition functions.

@misc{branden2018hodgeriemann, abstract = {We prove that the Hessians of nonzero partial derivatives of the (homogenous) multivariate Tutte polynomial of any matroid have exactly one positive eigenvalue on the positive orthant when $0<q\leq 1$. Consequences are proofs of the strongest conjecture of Mason and negative dependence properties for $q$-state Potts model partition functions.}, added-at = {2018-11-09T12:00:11.000+0100}, author = {Brändén, Petter and Huh, June}, biburl = {https://www.bibsonomy.org/bibtex/200ed2d27bd43bb0e8529b599313c1328/taka3617}, description = {Hodge-Riemann relations for Potts model partition functions}, interhash = {1831dfd834da16237535011627de4df3}, intrahash = {00ed2d27bd43bb0e8529b599313c1328}, keywords = {Huh SLP}, note = {cite arxiv:1811.01696Comment: 7 pages}, timestamp = {2018-11-09T12:00:11.000+0100}, title = {Hodge-Riemann relations for Potts model partition functions}, url = {http://arxiv.org/abs/1811.01696}, year = 2018 }