Theory of Random Matrices and Elasticity Applied to Nanowires and Mechanical Vibrations
This thesis presents work in several areas relating to Random Matrix Theory and Elasticity. It contains 4 papers presenting work on different issues. Paper I concerns correlations between eigenvalues in random matrices of real symmetric (GOE) or quaternion real (GSE) form. It presents a calculation showing that correlations between arbitrarily many eigenvalues can be obtained from averages of a t