Random Media and Random Fields

The analysis of random media and random fields lies at the core of the modern theory of stochastic processes, via the study of geometric properties of random objects such as paths of Brownian motions and random walks, clusters in percolation and networks, genealogies of genetic populations, and spectra of random matrices and random operators. Various techniques from complex and harmonic analysis, variational calculus and the theory of partial differential equations have been successfully applied to identify and describe these properties.

The goal of the workshop is to bring together researchers from probability theory, statistical physics, dynamical systems and ergodic theory, to discuss recent developments, to identify key problems at interfaces, and to foster collaboration between researchers from Japan and The Netherlands.