Fetching the paper…
Reading the bibliography…
In this article we study the Dyson Bessel process, which describes the evolution of singular values of rectangular matrix Brownian motions, and prove a large deviation principle for its empirical particle density.
Differential operators on a semisimple Lie algebra
Harish-Chandra · 1957
Earlier work this paper cites.
The planar approximation. II
C. Itzykson and J. B. Zuber · 1980
Earlier work this paper cites.
A method of integration over matrix variables ii
S. Chadha, G. Madhoux, and M. L. Mehta · 1981
Earlier work this paper cites.
Diffusions of perturbed principal component analysis
Marie-France Bru · 1989
Earlier work this paper cites.
Wishart processes
Marie-France Bru · 1991
Earlier work this paper cites.
Vassiliev’s knot invariants
Maxim Kontsevich · 1993
Earlier work this paper cites.
A method of integration over matrix variables
Madan Lal Mehta · 1993
Earlier work this paper cites.
On the large- N N limit of the Itzykson-Zuber integral
A. Matytsin · 1994
Earlier work this paper cites.
Large deviations for Wigner’s law and Voiculescu’s non-commutative entropy
G. Ben Arous and A. Guionnet · 1997
Earlier work this paper cites.
On the free convolution with a semi-circular distribution
P. Biane · 1997
Earlier work this paper cites.
Large deviation techniques and applications
A. Dembo and O. Zeitouni · 1998
Earlier work this paper cites.
Large deviations upper bounds for the laws of matrix-valued processes and non-communicative entropies
T. Cabanal-Duvillard and A. Guionnet · 2001
Earlier work this paper cites.
Eigenvalues of the Laguerre process as non-colliding squared Bessel processes
Wolfgang König and Neil O’Connell · 2001
Earlier work this paper cites.
Large deviations asymptotics for spherical integrals
A. Guionnet and O. Zeitouni · 2002
Earlier work this paper cites.
Discussions around non-commutative entropies
T Cabanal-Duvillard and A Guionnet · 2003
Earlier work this paper cites.
Generalizations of some integrals over the unitary group
B Schlittgen and T Wettig · 2003
Earlier work this paper cites.
Addendum to: “Large deviations asymptotics for spherical integrals”
A. Guionnet and O. Zeitouni · 2004
Cited alongside, same era.
First order asymptotics of matrix integrals; a rigorous approach towards the understanding of matrix models
Alice Guionnet · 2004
Cited alongside, same era.
Addendum to: large deviations asymptotics for spherical integrals
Alice Guionnet and Ofer Zeitouni · 2004
Cited alongside, same era.
A Fourier view on the R R -transform and related asymptotics of spherical integrals
A. Guionnet and M. Maida · 2005
Cited alongside, same era.
New scaling of Itzykson-Zuber integrals
Benoît Collins and Piotr Śniady · 2007
Cited alongside, same era.
The laguerre process and generalized hartman–watson law
Nizar Demni · 2007
Cited alongside, same era.
Asymptotics of unitary multimatrix models: The schwinger–dyson lattice and topological recursion
Alice Guionnet and Jonathan Novak · 2015
Later among the works it cites.
Random matrix theory with an external source
Edouard Brézin and Shinobu Hikami · 2016
Later among the works it cites.
Counting surfaces
Bertrand Eynard · 2016
Later among the works it cites.
Hydrodynamical spectral evolution for random matrices
Peter J. Forrester and Jacek Grela · 2016
Later among the works it cites.
Universality of the least singular value for sparse random matrices
Ziliang Che, Patrick Lopatto, et al · 2019
Later among the works it cites.
Rigidity and a mesoscopic central limit theorem for dyson brownian motion for general β \beta and potentials
Jiaoyang Huang and Benjamin Landon · 2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices
R Brent Dozier and Jack W Silverstein · 2007
Cited alongside, same era.
On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices
R Brent Dozier and Jack W Silverstein · 2007
Cited alongside, same era.
Generalization of some integrals over unitary matrices by character expansion of groups
Alireza Ghaderipoor and Chintha Tellambura · 2008
Cited alongside, same era.
Regularization by free additive convolution, square and rectangular cases
Serban T Belinschi, Florent Benaych-Georges, and Alice Guionnet · 2009
Cited alongside, same era.
Rectangular random matrices, related convolution
Florent Benaych-Georges · 2009
Cited alongside, same era.
Asymptotics of unitary and orthogonal matrix integrals
B. Collins, A. Guionnet, and E. Maurel-Segala · 2009
Cited alongside, same era.
A new proof of Harish-Chandra’s integral formula
Colin McSwiggen · 2019
Later among the works it cites.
Dyson brownian motion for general β \beta and potential at the edge
Arka Adhikari and Jiaoyang Huang · 2020
Later among the works it cites.
Large deviation principles via spherical integrals
S. T. Belinschi, A. Guionnet, and J. Huang · 2020
Later among the works it cites.
Large deviations for the largest eigenvalues and eigenvectors of spiked Gaussian random matrices
Giulio Biroli and Alice Guionnet · 2020
Later among the works it cites.
Large deviations for the largest eigenvalue of Rademacher matrices
Alice Guionnet and Jonathan Husson · 2020
Later among the works it cites.
Large deviations for the largest eigenvalue of the sum of two random matrices
Alice Guionnet and Mylène Maïda · 2020
Later among the works it cites.
Edge universality for nonintersecting brownian bridges
Jiaoyang Huang · 2020
Later among the works it cites.
On the law of large numbers for the empirical measure process of generalized Dyson Brownian motion
Songzi Li, Xiang-Dong Li, and Yong-Xiao Xie · 2020
Later among the works it cites.
Asymptotic behavior of the multiplicative counterpart of the Harish-Chandra integral and the S-transform
Pierre Mergny and Marc Potters · 2020
Later among the works it cites.
Asymptotics of k dimensional spherical integrals and applications
Alice Guionnet and Jonathan Husson · 2021
Closest in time.