15 citations · 47 across the 26 of their papers we have counts for
4 papers · 1 filter
Landau on Chess Tournaments and Google's PageRank
Rainer Sinn, Günter M. Ziegler
In his first mathematical paper, published in 1895 when he was 18, Edmund Landau suggested a new way to determine the winner of a chess tournament by not simply adding for each pla…
Convex hulls of surfaces in fourspace
Chiara Meroni, Kristian Ranestad, Rainer Sinn
This is a case study of the algebraic boundary of convex hulls of varieties. We focus on surfaces in fourspace to showcase new geometric phenomena that neither curves nor hypersurf…
Weak and Strong Extremal Biquadratics
Grigoriy Blekherman, Bogdan Raiţă, Isabelle Shankar +1
We study quasiconvex quadratic forms on matrices which correspond to nonnegative biquadratic forms in variables. We disprove a conjecture stated by Harutyunyan…
Moments, Sums of Squares, and Tropicalization
Grigoriy Blekherman, Felipe Rincón, Rainer Sinn +2
We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set . The truncated cones of moments of measures supported o…