Julius Ross

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20142024

most citedDually Lorentzian Polynomials

2 citations · 3 across the 5 of their papers we have counts for

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math.CO2024

Schur positivity of difference of products of derived Schur polynomials

Julius Ross, Kuang-Yu Wu

To any Schur polynomial $s_{λ}$ one can associated its derived polynomials $s_{λ} (i)$ $i = 0, \dots, ∣ λ ∣$ by the rule $s_{λ} (x_{1} + t, \dots, x_{n} + t) = i \sum s_{λ}^{(i)} (x_{1}, \dots, x_{n}) t^{i} .$ …

math.CO2023★ 2 cited

Dually Lorentzian Polynomials

Julius Ross, Hendrik Süß, Thomas Wannerer

We introduce and study a notion of dually Lorentzian polynomials, and show that if $s$ is non-zero and dually Lorentzian then the operator \[s(\partial_{x_1},\ldots,\partial_{x_n})…