Random Matrices are one of the major research areas in modern
probability theory, due to their prominence in many different
fields such as nuclear physics, statistics, telecommunication, free
probability, non-commutative geometry, and dynamical systems. A
great deal of recent work has focused on the study of spectra of
large random matrices on the one hand and on iterated random
functions, especially random difference equations, on the other.
However, the methods applied in these two research areas are fairly
dissimilar. Motivated by the idea that tools from one area could
potentially also be helpful in the other, the volume editors have
selected contributions that present results and methods from random
matrix theory as well as from the theory of iterated random
functions. This work resulted from a workshop that was held in
Munster, Germany in 2011. The aim of the workshop was to bring
together researchers from two fields of probability theory: random
matrix theory and the theory of iterated random functions. Random
matrices play fundamental, yet very different roles in the two
fields. Accordingly, leading figures and young researchers gave
talks on their field of interest that were also accessible to a
broad audience.
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