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.
Eynard-Mehta theorem, Schur process, and their pfaffian analogs
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abstract
We give simple linear algebraic proofs of Eynard-Mehta theorem, Okounkov-Reshetikhin formula for the correlation kernel of the Schur process, and Pfaffian analogs of these results. We also discuss certain general properties of the spaces of all determinantal and Pfaffian processes on a given finite set.
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math.PR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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A Two-Color Lift of the Shifted $t$-Schur Measure
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.