Random matrix theory has long been used to study the spectral
properties of physical systems, and has led to a rich interplay
between probability theory and physics . Historically, random
matrices have been used to model physical systems with random
fluctuations, or systems whose eigenproblems were too difficult to
solve numerically. This talk explores applications of RMT to the
physics of disorder in organic semiconductors [2,3]. Revisiting the
old problem of Anderson localization  has shed new light on the
emerging field of free probability theory . I will discuss the
implications of free probabilistic ideas for finite-dimensional random
matrices , as well as some hypotheses about eigenvector locality.
Algorithms are available in the RandomMatrices.jl package  written
for the Julia programming language.
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