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.
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5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
years
2026 5verdicts
UNVERDICTED 5representative citing papers
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.
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.
Introduces shifted t-Schur functions via a modified Greaves-Jing-Zhu operator on odd power sums and derives a two-row formula, Pfaffian Giambelli identity, Cauchy identity, and finite shifted Gessel formula.
Derives transition matrices and proves Schur Q-positivity plus reciprocity for cyclotomic specializations of shifted t-Schur functions.
citing papers explorer
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A Shifted $t$-Schur Weight from the Modified Odd Operator
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.
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Mixed Products of Modified Greaves--Jing--Zhu Operators
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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A Modified Greaves--Jing--Zhu Operator and a Shifted $t$-Gessel Formula
Introduces shifted t-Schur functions via a modified Greaves-Jing-Zhu operator on odd power sums and derives a two-row formula, Pfaffian Giambelli identity, Cauchy identity, and finite shifted Gessel formula.
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Transition Matrices between Shifted $t$-Schur Bases and Cyclotomic Schur $Q$-Positivity
Derives transition matrices and proves Schur Q-positivity plus reciprocity for cyclotomic specializations of shifted t-Schur functions.