6 citations · 9 across the 4 of their papers we have counts for
4 papers
An inverse problem in Polya-Schur theory. I. Non-genegerate and degenerate operators
Per Alexandersson, Petter Brändén, Boris Shapiro
Given a linear ordinary differential operator T with polynomial coefficients, we study the class of closed subsets of the complex plane such that T sends any polynomial (resp. any…
Hyperbolic polynomials and the Marcus-Spielman-Srivastava theorem
Petter Brändén
Recently Marcus, Spielman and Srivastava gave a spectacular proof of a theorem which implies a positive solution to the Kadison-Singer problem. We extend (and slightly sharpen) thi…
Unimodality, log-concavity, real-rootedness and beyond
Petter Brändén
This is a survey on recent developments on unimodality, log-concavity and real-rootedness in combinatorics. Stanley and Brenti have written extensive surveys of various techniques…
Infinite log-concavity for polynomial Pólya frequency sequences
Petter Brändén, Matthew Chasse
McNamara and Sagan conjectured that if is a Pólya frequency (PF) sequence, then so is . We prove this conjecture…