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Paul Bourgade

Associate Professor of Mathematics

    20072019
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    Fingerprint Weighted list of dominant concepts in the researcher's publications (titles and abstracts).

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    Research Output 2007 2019

    Gaussian fluctuations of the determinant of wigner matrices

    Bourgade, P. & Mody, K., Jan 1 2019, In : Electronic Journal of Probability. 24, 96.

    Research output: Contribution to journalArticle

    Open Access
    Determinant
    Fluctuations
    Green's function
    Moment Matching
    Advection Equation

    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