2 citations · 3 across the 12 of their papers we have counts for
12 papers
Bounded ratios for Lorentzian polynomials
Aayush Bathija, Prince Rohatgi, Daniel Soskin
We study multiplicative inequalities among the coefficients of Lorentzian polynomials through the notion of bounded ratios. Our main structural result completely characterizes the…
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 ma…
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…
Generalized Diagonals in Positive Semi-Definite Matrices
Robert Angarone, Daniel Soskin
We describe all inequalities among generalized diagonals in positive semi-definite matrices. These turn out to be governed by a simple partial order on the symmetric group. This pr…
Multiplicative Inequalities In Cluster Algebras Of Finite Type
Michael Gekhtman, Zachary Greenberg, Daniel Soskin
Generalizing the notion of a multiplicative inequality among minors of a totally positive matrix, we describe, over full rank cluster algebras of finite type, the cone of Laurent m…
Permanental inequalities for totally positive matrices
Mark Skandera, Daniel Soskin
We characterize ratios of permanents of (generalized) submatrices which are bounded on the set of all totally positive matrices. This provides a permanental analog of results of Fa…
Plücker inequalities for weakly separated coordinates in totally nonnegative Grassmannian
Daniel Soskin, Prateek Kumar Vishwakarma
We show that the partial sums of the long Plücker relations for pairs of weakly separated Plücker coordinates oscillate around on the totally nonnegative part of the Grassmanni…
Barrett-Johnson inequalities for totally nonnegative matrices
Mark Skandera, Daniel Soskin
Given a matrix , let denote the submatrix of determined by rows and columns . Fischer's Inequalities state that for each Hermitian positive sem…
On bounded ratios of minors of totally positive matrices
Daniel Soskin, Michael Gekhtman
We provide several examples of bounded Laurent monomials of minors of a totally positive matrix, which can not be factored into a product of so called primitive ratios, thus showin…
Asymptotic Properties of the p-Adic Fractional Integration Operator
Anatoly N. Kochubei, Daniel S. Soskin
We study asymptotic properties of the p-adic version of a fractional integration operator introduced in the paper by A. N. Kochubei, Radial solutions of non-Archimedean pseudo-diff…