The group contributes to the following mathematical research topics of WIAS:

Interacting random systems

Large random interacting particle systems are mostly defined either by coupled systems of stochastic differential equations or via Hamiltonian functions. [>> more]

Interacting stochastic particle systems

In the mathematical modeling of many processes and phenomena in the Sciences and Technology one employs systems with many random particles and interactions. [>> more]

Large deviations

The theory of large deviations, a branch of probability theory, provides tools for the description of the asymptotic decay rate of a small probability, as a certain parameter diverges or shrinks to zero. Examples are large times, low temperatures, large numbers of stochastic quantities, or an approximation parameter. [>> more]

Nonlinear kinetic equations


Spectral theory of random operators

Many questions about processes and phenomena are described by random operators, most notably by the random Schrödinger operator (Anderson operator) and the Laplace operator with random weights (conductances) on the edges between nearest neighbours. [>> more]

Variational methods
