# Igor Klep - Preprints

## Preprints

(79)    Positive trace polynomials and the universal Procesi-Schacher conjecture, latest revision 26 July 2017 (with and )

(78)    Bianalytic free maps between spectrahedra and spectraballs, latest revision 25 April 2018 (with , and )

(77)    A Matrix Positivstellensatz with lifting polynomials, latest revision 13 January 2018 (with )

(76)    Minimizer extraction in polynomial optimization is robust, latest revision 6 October 2017 (with , )

(75)    Free bianalytic maps between spectrahedra and spectraballs in a generic setting, latest revision 20 April 2018 (with , and )

(74)    Multipartite rational functions, latest revision 8 January 2016 (with and )

## To be published

(73)    Geometry of free loci and factorization of noncommutative polynomials, Advances in Mathematics (with and ). A preliminary version was published as Oberwolfach Preprint 2017-23.

(72)    Positive trace polynomials and the universal Procesi-Schacher conjecture, Proceedings of the London Mathematical Society (with and )

(71)    There are many more positive maps than completely positive maps, International Mathematics Research Notices (with , and ). Supplementary material (a Mathematica notebook file) is available as a nb file, and as a pdf file.

(70)    Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions, Memoirs of the American Mathematical Society (with , and )