Research Output per year

## Fingerprint Dive into the research topics where Paul Bourgade is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Random Matrices
Mathematics

Universality
Mathematics

Characteristic polynomial
Mathematics

Haar Measure
Mathematics

Ensemble
Mathematics

Riemann zeta function
Mathematics

Unitary matrix
Mathematics

Compact Group
Mathematics

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## Research Output 2007 2019

## Random Band Matrices in the Delocalized Phase, II: Generalized Resolvent Estimates

Bourgade, P., Yang, F., Yau, H. T. & Yin, J., Jan 1 2019, (Accepted/In press) In : Journal of Statistical Physics.Research output: Contribution to journal › Article

Resolvent Estimates

Band matrix

Random Matrices

Resolvent

estimates

## Maximum of the Riemann Zeta Function on a Short Interval

Arguin, L. P., Belius, D., Bourgade, P., Radziwiłł, M. & Soundararajan, K., Jan 1 2018, (Accepted/In press) In : Communications on Pure and Applied Mathematics.Research output: Contribution to journal › Article

Short Intervals

Riemann zeta function

Interval

Line

## Eigenvector statistics of sparse random matrices

Bourgade, P., Huang, J. & Yau, H. T., 2017, In : Electronic Journal of Probability. 22, 64.Research output: Contribution to journal › Article

Sparse matrix

Random Matrices

Eigenvector

Statistics

Brownian motion

## Local Density for Two-Dimensional One-Component Plasma

Bauerschmidt, R., Bourgade, P., Nikula, M. & Yau, H. T., Aug 18 2017, (Accepted/In press) In : Communications in Mathematical Physics. p. 1-42 42 p.Research output: Contribution to journal › Article

One-component Plasma

Coulomb potential

Equilibrium Measure

Normal matrix

Coulomb Potential

## Universality for a class of random band matrices

Bourgade, P., Erdoos, L., Yau, H. T. & Yin, J., 2017, In : Advances in Theoretical and Mathematical Physics. 21, 3, p. 739-800 62 p.Research output: Contribution to journal › Article

Band matrix

Random Matrices

Universality

matrices

Mean-field Model