4 papers
On the largest Littlewood--Richardson coefficient
Igor Pak, Daniel Soskin
We study partitions which attain the largest Littlewood-Richardson coefficient. More precisely, we prove that the largest is attained at partitions such that $μ\subseteq…
Correlation inequalities for Schur positivity
Swee Hong Chan, Hong Chen, Igor Pak +1
We generalize the Ahlswede--Daykin inequality (1978) to a Schur positive \emph{ADS inequality}, which also contains the Lam--Postnikov--Pylyavskyy inequality (2007) as a special ca…
Hadamard Products of dual Jacobi-Trudi matrices
Robert Angarone, Jang Soo Kim, Jaeseong Oh +1
We study positivity properties of Hadamard products of Jacobi-Trudi matrices. Maló proved that the Hadamard (entrywise) product of two totally positive upper-triangular Toeplitz m…
Bounded ratios for Lorentzian matrices
Daoji Huang, June Huh, Daniel Soskin +1
We study multiplicative inequalities among entries of Lorentzian matrices, referred to as bounded ratios. These inequalities can be viewed as generalizations of the classical Alexa…