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M-matrices satisfy Newton's inequalities
Newton's inequalities $c_n^2 \ge c_{n-1}c_{n+1}$ are shown to hold for the normalized coefficients $c_n$ of the characteristic polynomial of any $M$- or inverse $M$-matrix.
Holtz, Olga
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Matrix Whittaker processes. [PDF]
Arista J, Bisi E, O'Connell N.
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Bounded Littlewood identity related to alternating sign matrices
An identity that is reminiscent of the Littlewood identity plays a fundamental role in recent proofs of the facts that alternating sign triangles are equinumerous with totally symmetric self-complementary plane partitions and that alternating sign ...
Ilse Fischer
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On the elementary symmetric functions of a sum of matrices
Often in mathematics it is useful to summarize a multivariate phenomenon with a single number and in fact, the determinant -- which is represented by det -- is one of the simplest cases.
Costas-Santos, R. S.
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An instance of umbral methods in representation theory: the parking function module
We test the umbral methods introduced by Rota and Taylor within the theory of representation of symmetric group. We define a simple bijection between the set of all parking functions of length $n$ and the set of all noncrossing partitions of $\{1,2,...,n\
Petrullo, P., Senato, D.
core
Augmented monomials in terms of power sums. [PDF]
Merca M.
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Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function. [PDF]
Shi HN, Zhang J, Ma QH.
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Genetic snapshots of the Rhizobium species NGR234 genome. [PDF]
Viprey V+3 more
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Some combinatorial aspects of S^1 fixed points of Peterson varieties
, 2017In this paper we investigate the partial order set An of S 1 fixed points of the Peterson variety Petn, a special subset of involutions of symmetric group Sn. The order is induced by the Bruhat order of Sn.
Praise Adeyemo
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