Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Guillaume Dubach"'
Publikováno v:
Random Matrices: Theory and Applications. 12
We study moments of characteristic polynomials of truncated Haar distributed matrices from the three classical compact groups O(N), U(N) and Sp(2N). For finite matrix size we calculate the moments in terms of hypergeometric functions of matrix argume
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3d72188ef719259815be9779fabee77
https://doi.org/10.1142/s2010326322500496
https://doi.org/10.1142/s2010326322500496
Autor:
Guillaume Dubach
We investigate eigenvector statistics of the Truncated Unitary ensemble $\mathrm{TUE}(N,M)$ in the weakly non-unitary case $M=1$, that is when only one row and column are removed. We provide an explicit description of generalized overlaps as determin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c393c234fbdcf152e032e19ab51be41c
http://arxiv.org/abs/2111.12517
http://arxiv.org/abs/2111.12517
Autor:
Guillaume Dubach
Publikováno v:
Electronic Journal of Probability. 26
We study the overlaps between right and left eigenvectors for random matrices of the spherical and truncated unitary ensembles. Conditionally on all eigenvalues, diagonal overlaps are shown to be distributed as a product of independent random variabl
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2ab87472fa964e261f28e514662d9da
https://doi.org/10.1214/21-ejp686
https://doi.org/10.1214/21-ejp686
Autor:
Guillaume Dubach, Yuval Peled
We consider words $G_{i_1} \cdots G_{i_m}$ involving i.i.d. complex Ginibre matrices, and study tracial expressions of their eigenvalues and singular values. We show that the limit distribution of the squared singular values of every word of length $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1301d6f3087fd940ad8d627adf8d4620
Autor:
Guillaume Dubach
We establish a few properties of eigenvalues and eigenvectors of the quaternionic Ginibre ensemble (QGE), analogous to what is known in the complex Ginibre case. We first recover a version of Kostlan's theorem that was already noticed by Rider: the s
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7cf850e3b75c1bcb276e9b0220bcc5fb
Autor:
Guillaume Dubach, Paul Bourgade
We study the overlaps between eigenvectors of nonnormal matrices. They quantify the stability of the spectrum, and characterize the joint eigenvalues increments under Dyson-type dynamics. Well known work by Chalker and Mehlig calculated the expectati
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f32fa40bdfd8f691f558e9477fd278e
Autor:
Guillaume Dubach
Publikováno v:
Electron. J. Probab.
We study the images of the complex Ginibre eigenvalues under the power maps $\pi_M: z \mapsto z^M$, for any integer $M$. We establish the following equality in distribution, $$ {\rm{Gin}}(N)^M \stackrel{d}{=} \bigcup_{k=1}^M {\rm{Gin}} (N,M,k), $$ wh
Externí odkaz:
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http://arxiv.org/abs/1711.03151
http://arxiv.org/abs/1711.03151