b-Hurwitz numbers with rational weights are obtained as limits of Whittaker vectors for W-algebras of type A, generalizing prior results and implying topological recursion governs the b=0 case.
Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures
4 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 4representative citing papers
Defines (n,d)-rectangular cumulants that linearize (n,d)-rectangular convolution in finite free probability and converge to q-rectangular free cumulants as d→∞ with 1+n/d→q.
Introduces operator Γ yielding a creation formula for Macdonald polynomials, defines Macdonald characters, and poses positivity conjectures extending those on Jack polynomials.
A differential expression is established for the Jack analog of the super nabla operator via Chapuy-Dołęga and dehomogenized Nazarov-Sklyanin operators, derived from a general structure-coefficient operator G.
citing papers explorer
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$b$-Hurwitz numbers from Whittaker vectors for $\mathcal{W}$-algebras
b-Hurwitz numbers with rational weights are obtained as limits of Whittaker vectors for W-algebras of type A, generalizing prior results and implying topological recursion governs the b=0 case.
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Cumulants in rectangular finite free probability and beta-deformed singular values
Defines (n,d)-rectangular cumulants that linearize (n,d)-rectangular convolution in finite free probability and converge to q-rectangular free cumulants as d→∞ with 1+n/d→q.
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Macdonald characters from a new formula for Macdonald polynomials
Introduces operator Γ yielding a creation formula for Macdonald polynomials, defines Macdonald characters, and poses positivity conjectures extending those on Jack polynomials.
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A formula for the Jack super nabla operator
A differential expression is established for the Jack analog of the super nabla operator via Chapuy-Dołęga and dehomogenized Nazarov-Sklyanin operators, derived from a general structure-coefficient operator G.