5 citations · 10 across the 3 of their papers we have counts for
3 papers
math.AG2004★ 5 cited
Volumes of Nonnegative Polynomials, Sums of Squares and Powers of Linear Forms
Grigoriy Blekherman
We study the quantitative relationship between the cones of nonnegative polynomials, cones of sums of squares and cones of sums of powers of linear forms. We derive bounds on the v…
math.MG2003★ 5 cited
Convex Geometry of Orbits
Alexander Barvinok, Grigoriy Blekherman
We study metric properties of convex bodies B and their polars B^o, where B is the convex hull of an orbit under the action of a compact group G. Examples include the Traveling Sal…
math.CO2002
Convexity properties of the cone of nonnegative polynomials
Grigoriy Blekherman
We study metric properties of the cone of homogeneous non-negative multivariate polynomials and the cone of sums of powers of linear forms, and the relationship between the two con…