FREE PROBABILITY OF TYPE B PRIME

Fujie, Katsunori; Hasebe, Takahiro

FREE PROBABILITY OF TYPE B PRIME

Fujie, Katsunori; Hasebe, Takahiro

Transactions of the American Mathematical Society, 2025, 378(8), 5551-5577

Permalink : https://hdl.handle.net/2115/96031

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論文情報

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アクセス権	open access
URI	https://hdl.handle.net/2115/96031
タイトル	FREE PROBABILITY OF TYPE B PRIME
著者	著者名 Fujie, Katsunori
著者	e-Rad_Researcher 00633166 著者名 Hasebe, Takahiro
言語	英語
キーワード	Free probability
キーワード	random matrices
発行日	2025-08
出版者	American Mathematical Society
収録物名	Transactions of the American Mathematical Society
巻(号)	378(8)
ページ	5551-5577
抄録	Free probability of type B was invented by Biane-Goodman-Nica, and then it was generalized by Belinschi-Shlyakhtenko and Fe<acute accent>vrier-Nica to infinitesimal free probability. The latter found its applications to eigenvalues of perturbed random matrices in the work of Shlyakhtenko and Ce<acute accent>bron- Dahlqvist-Gabriel. This paper offers a new framework, called "free probability of type B1 ", which appears in the large size limit of independent unitarily invariant random matrices with perturbations. Our framework is related to Boolean, free, (anti)monotone, cyclic-(anti)monotone and conditionally free independences. We then apply the new framework to the principal minor of unitarily invariant random matrices, which leads to the definition of a multivariate inverse Markov-Krein transform and asymptotic infinitesimal freeness of principal minors.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	First published in Trans. Amer. Math. Soc. 378 (August 2025), published by the American Mathematical Society. © 2025 American Mathematical Society.
PISSN	0002-9947
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1090/tran/9464