Kozhasov Khazhgali: On complete monotonicity of inverse powers of elementary symmetric polynomials

Tid: On 2019-11-27 kl 10.15 - 11.00

Plats: 3418

Abstract: Sufficiently high inverse powers $p^a$, $a<0$, of some real
stable polynomials $p$ (among which are basis generating polynomials of
certain classes of matroids) turn out to be completely monotone, that
is, the coefficients of the Taylor expansion of $y \mapsto p(x-y)^a$ are
nonnegative for any $x$ in the positive orthant. I will discuss this
phenomenon for the class of elementary symmetric polynomials. The talk
is based on a joint work with M. Mikhalek and B. Sturmfels.

Tillhör: Institutionen för matematik
Senast ändrad: 2019-11-01