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Personal Profile of Prof. Ioana Dumitriu

Prof. Ioana Dumitriu

University of California, San Diego

Department of Mathematics

MSRI Program:: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems
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Talks

December 06, 2010 - December 10, 2010

Workshop Random Matrix Theory and its Applications II

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Dec 10, 2010
Friday

10:30 AM - 11:30 AM

Global Fluctuations for \(\beta\)-Jacobi Ensembles
Ioana Dumitriu (University of California, San Diego)

September 20, 2010 - September 21, 2010

Workshop Connections for Women: An Introduction to Random Matrices

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Sep 21, 2010
Tuesday

09:30 AM - 10:30 AM		Sparse regular random graphs: spectral density and eigenvectors Ioana Dumitriu (University of California, San Diego)
Location -- Video Abstract Adjacency matrices of regular random graphs are a good example of non-Wigner ensembles for which the semicircle law still holds, in various regimes. The one we focus on is when the degree is polylogarithmic in the number of vertices (a "sparse" case). We show that the empirical spectral distribution converges to the semicircle law, estimate the rate of convergence (also known as the "local semicircle law"), and show some results that point toward the delocalization and lack of bias for the second through last eigenvectors. Supplements -- Show Detail