124 citations · 735 across the 42 of their papers we have counts for
5 papers · 1 filter
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…
Multivariate Eulerian polynomials and exclusion processes
Petter Brändén, Madeleine Leander, Mirkó Visontai
We give a new combinatorial interpretation of the stationary distribution of the (partially) asymmetric exclusion process on a finite number of sites in terms of decorated alternat…
Classification theorems for operators preserving zeros in a strip
Petter Brändén, Matthew Chasse
We characterize all linear operators which preserve spaces of entire functions whose zeros lie in a closed strip. Necessary and sufficient conditions are obtained for the related p…