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1

Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality

Bourgade, Paul, Yau, HorngâTzer, Yin, Jun

Journal:

Communications on Pure and Applied Mathematics

Year:

2020

File:

PDF, 970 KB

2020

2

Universality of general $\beta$ -ensembles

Bourgade, Paul, Erdős, László, Yau, Horng-Tzer

Journal:

Duke Mathematical Journal

Year:

2014

Language:

english

File:

PDF, 563 KB

english, 2014

3

Eigenvector statistics of sparse random matrices

Bourgade, Paul, Huang, Jiaoyang, Yau, Horng-Tzer

Journal:

Electronic Journal of Probability

Year:

2017

Language:

english

File:

PDF, 517 KB

english, 2017

4

Edge Universality of Beta Ensembles

Paul Bourgade,László Erdös,Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 1.00 MB

english, 2014

5

Local circular law for random matrices

Bourgade, Paul, Yau, Horng-Tzer, Yin, Jun

Journal:

Probability Theory and Related Fields

Year:

2014

Language:

english

File:

PDF, 540 KB

english, 2014

6

Local Density for Two-Dimensional One-Component Plasma

Bauerschmidt, Roland, Bourgade, Paul, Nikula, Miika, Yau, Horng-Tzer

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 934 KB

english, 2017

7

Fixed Energy Universality for Generalized Wigner Matrices

Bourgade, Paul, Erdős, L., Yau, H.-T., Yin, J.

Journal:

Communications on Pure and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 511 KB

english, 2015

8

The characteristic polynomial on compact groups with Haar measure: some equalities in law

Paul Bourgade, Ashkan Nikeghbali, Alain Rouault

Journal:

Comptes Rendus Mathematique

Year:

2007

File:

PDF, 128 KB

2007

9

Maximum of the Riemann Zeta Function on a Short Interval

Arguin, Louis-Pierre, Belius, David, Bourgade, Paul, Radziwiłł, Maksym, Soundararajan, Kannan

Journal:

Communications on Pure and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 405 KB

english, 2018

10

Strong Szegő Asymptotics and Zeros of the Zeta-Function

Bourgade, Paul, Kuan, Jeffrey

Journal:

Communications on Pure and Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 291 KB

english, 2014

11

Maximum of the Characteristic Polynomial of Random Unitary Matrices

Arguin, Louis-Pierre, Belius, David, Bourgade, Paul

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 1.33 MB

english, 2017

12

The local circular law II: the edge case

Bourgade, Paul, Yau, Horng-Tzer, Yin, Jun

Journal:

Probability Theory and Related Fields

Year:

2014

Language:

english

File:

PDF, 476 KB

english, 2014

13

Bulk universality of general β-ensembles with non-convex potential

Bourgade, Paul, Erdős, László, Yau, Horng-Tzer

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 221 KB

english, 2012

14

SPIE Proceedings [SPIE 30th Annual Technical Symposium - San Diego (Friday 1 August 1986)] X-Ray Calibration: Techniques, Sources, and Detectors - Direct X-Ray Response Of Charge-Coupled Devices And Photodiode Linear Arrays

Launspach, J., Bourgade, J. L., Cavailler, C., de Mascureau, J., Mens, A., Sauneuf, R., Lee, Ping, Rockett, Paul D.

Year:

1986

Language:

english

File:

PDF, 565 KB

english, 1986

15

[IEEE 2007 9th European Conference on Radiation and Its Effects on Components and Systems (RADECS 2007) - Deauville, France (2007.09.10-2007.09.14)] 2007 9th European Conference on Radiation and Its Effects on Components and Systems - Observation and modeling of currents induced by14 MeV neutron recoils in dielectrics at high neutron fluxes

Leray, Jean-Luc, Bazzoli, Sebastien, Authier, Nicolas, Sauvestre, Jean-Etienne, Baggio, Jacques, Raimbourg, Joel, Seaux, Jean-Paul, Gazave, Julien, Gomme, Jean-Claude, Bourgade, Jean-Luc, Glebov, Vlad

Year:

2007

Language:

english

File:

PDF, 4.31 MB

english, 2007

16

Extreme gaps between eigenvalues of random matrices

Ben Arous, Gérard, Bourgade, Paul

Journal:

The Annals of Probability

Year:

2013

Language:

english

File:

PDF, 365 KB

english, 2013

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