Noise and information, often believed to be opposite notions, have a common denominator: stochastic processes. Depending on his interest, an observer may regard a stochastic process either as a noise or an information source. At the heart of any stochastic process is randomness, which naturally embeds the idea of “many possibilities”; hence the notion of complexity. In recent years, these concepts have been extended all the way down from the microorganism to the quantum scales, thus unveiling a variety of intriguing phenomena with applications to bio- and nano-technology.

TOPICS

• Soft Matter

Stochastic processes: stochastic resonance, noise rectification, noise harvesting. Active matter: modeling, particle clustering and segregation, microfluidics. Disordered systems: anomalous diffusion, transport in crowded environments. Complex systems: coupled nonlinear oscillators, turbulence, multi-agent models.

• Information Theory

Quantum stochastic maps: discrete and continuous channel; channel capacities, quantum error correcting theory, quantum cryptography.

Entanglement: classification and measures, distillation and dilution, stationarity in dynamical systems; relativistic properties.

Information geometry: geometric structure of statistical models, statistical inference and differential geometry; geometry of quantum states.