• ergodic theory;
• (discrete) classical and quantum
dynamical systems with chaotic
(continuous) classical
limit;
• quantization procedures;
• semi-classical analysis and
classical limit;
• algorithmic complexity;
• quantum dynamical
entropies and their
applications to
dynamical systems
• random matrix theory
• geometry of quantum states;
• duality between quantum maps
and quantum states;
• entanglement measures and
their statistics over random
quantum states
• random quantum; operations;
• random
(bi-)stochastic
matrices
• symmetries and
universality in
mesoscopic
systems.