Paul Bourgade

Associate Professor of Mathematics

20072019
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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 journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

Band matrix
Random Matrices
Universality
matrices
Mean-field Model