Random cyclic matrices

Reachability matrices and cyclic matrices

Ela Reachability Matrices and Cyclic Matrices

Received by the editors September 23, 2009. Accepted for publication February 11, 2010. Handling Editor: Daniel Szyld. Dipartimento di Ingegneria dell’Informazione, Università di Padova, I-35131 Padova, Italy ([email protected]). Mathematisches Institut, Universität Würzburg, D-97074 Würzburg, Germany ([email protected]). Electronic Journal of Linear Algebra ISSN 1081-3810 A...

Random Matrices and Random Boxes

OF THE DISSERTATION Random matrices and random boxes by Linh V. Tran Dissertation Director: Prof. Van Vu This thesis concerns two questions on random structures: the semi-circular law for adjacency matrix of regular random graph and the piercing number for random boxes. • Random matrices We proved in full generality the semi-circular law for random d-regular graph model in the case d tends to i...

Random Growth and Random Matrices

We give a survey of some of the recent results on certain two-dimensional random growth models and their relation to random matrix theory, in particular to the Tracy-Widom distribution for the largest eigenvalue. The problems are related to that of finding the length of the longest increasing subsequence in a random permutation. We also give a new approach to certain results for the Schur measu...

An Introduction to Random Matrices An Introduction to Random Matrices