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A Two-Color Lift of the Shifted $t$-Schur Measure

math.PR · 2026-07-02 · unverdicted · novelty 6.0

Introduces a two-color lift of the shifted Schur measure on pairs of partitions and derives its normalization, marginals, transition kernel, and independence of color volumes.

A Shifted $t$-Schur Weight from the Modified Odd Operator

math.CO · 2026-07-02 · unverdicted · novelty 5.0

Defines shifted t-Schur weight via modified odd operator on strict partitions, derives normalization, Pfaffian correlation kernel, Fredholm Pfaffian for largest part, and size cumulants, with positive measure for t equals negative q.

Mixed Products of Modified Greaves--Jing--Zhu Operators

math.CO · 2026-06-26 · unverdicted · novelty 5.0

Computes the scalar factor in mixed products of modified Greaves-Jing-Zhu operators on the odd power-sum ring for parameters t and s, with explicit forms, recurrences, and a special case s=t^M linking to signed principal specializations of one-row Schur Q-functions.

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Showing 4 of 4 citing papers after filters.

  • A Two-Color Lift of the Shifted $t$-Schur Measure math.PR · 2026-07-02 · unverdicted · none · ref 1

    Introduces a two-color lift of the shifted Schur measure on pairs of partitions and derives its normalization, marginals, transition kernel, and independence of color volumes.

  • A Shifted $t$-Schur Weight from the Modified Odd Operator math.CO · 2026-07-02 · unverdicted · none · ref 1

    Defines shifted t-Schur weight via modified odd operator on strict partitions, derives normalization, Pfaffian correlation kernel, Fredholm Pfaffian for largest part, and size cumulants, with positive measure for t equals negative q.

  • Mixed Products of Modified Greaves--Jing--Zhu Operators math.CO · 2026-06-26 · unverdicted · none · ref 1

    Computes the scalar factor in mixed products of modified Greaves-Jing-Zhu operators on the odd power-sum ring for parameters t and s, with explicit forms, recurrences, and a special case s=t^M linking to signed principal specializations of one-row Schur Q-functions.

  • Transition Matrices between Shifted $t$-Schur Bases and Cyclotomic Schur $Q$-Positivity math.CO · 2026-06-27 · unverdicted · none · ref 1

    Derives transition matrices and proves Schur Q-positivity plus reciprocity for cyclotomic specializations of shifted t-Schur functions.