Results 181 to 190 of about 168,604 (284)

Hirota, Fay and geometry. [PDF]

open access: yesLett Math Phys
Eynard B, Oukassi S.
europepmc   +1 more source

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley   +1 more source

Unitary ensembles with a critical edge point, their multiplicative statistics, and the Korteweg‐de‐Vries hierarchy

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso   +1 more
wiley   +1 more source

Coding and anticoding of a cardinal by bounded subsets of the cardinal

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract This paper will consider combinatorial properties related to coding a cardinal by its bounded subsets. These properties have traditionally been studied in the context of very large cardinals and variations of these properties either reach the level of Kunen inconsistency or are very close to it.
William Chan
wiley   +1 more source

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