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math.CO2024
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…
math.CO2024
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…
math.CO2024
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…