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math.CO2026
Multicritical Scaling Limit of Shifted Schur Measure
Haruna Aida, Taro Kimura
We investigate the multicritical scaling limit of the shifted Schur measures. Under an appropriate scaling limit and specific conditions on the continuous parameters, we explicitly…
math.CO2025
-deformation of random partitions, determinantal structure, and Riemann-Hilbert problem
Taro Kimura
We study -deformation of probability measures on partitions, i.e., -deformed random partitions. We in particular consider the -Plancherel measure and show a determinantal…