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

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

Plats:

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.

Innehållsansvarig:webmaster@math.kth.se
Tillhör: Institutionen för matematik