Universal edge scaling in random partitions
نویسندگان
چکیده
We establish the universal edge scaling limit of random partitions with infinite-parameter distribution called Schur measure. explore asymptotic behavior wave function, which is a building block corresponding kernel, based on Schrödinger-type differential equation. show that function in general to Airy and its higher-order analogs limit. construct kernel Tracy–Widom from discuss implication multicritical phase transition large-size matrix model. also shape through semi-classical analysis function.
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2021
ISSN: ['0377-9017', '1573-0530']
DOI: https://doi.org/10.1007/s11005-021-01389-y