An invariant ensemble of N× N random matrices can be characterised by a joint distribution
for eigenvalues $ P ({\lambda} _ {1},\cdots,{\lambda} _ {N}) $. The distribution of linear …

Within the random matrix theory approach to quantum scattering, we derive the distribution
of the Wigner–Smith time delay matrix for a chaotic cavity with uniform absorption, coupled …

Animal behavior occurs on timescales much longer than the response times of individual
neurons. In many cases, it is plausible that these long timescales emerge from the recurrent …

Random matrix theory has applications in various fields: mathematics, physics, finance,... In
physics, the concept of random matrices has been used to study the electronic transport in …

This statistical physics thesis focuses on the study of three kinds of systems which display
repulsive interactions: eigenvalues of random matrices, non-crossing random walks and …

In recent years, advances in experimental techniques have allowed for the first time
simultaneous measurements of many interacting components in living systems at almost all …