Klaus Hasselmann's revolutionary intuition in climate science was to use the stochasticity
associated with fast weather processes to probe the slow dynamics of the climate system …

The mode-coupling theory of the glass transition (MCT) has been at the forefront of
fundamental glass research for decades, yet the theory's underlying approximations remain …

One important problem in constructing the reduced dynamics of molecular systems is the
accurate modeling of the non-Markovian behavior arising from the dynamics of unresolved …

We present a general numerical approach for constructing governing equations for unknown
dynamical systems when data on only a subset of the state variables are available. The …

We present a method for the data-driven learning of physical phenomena whose evolution
in time depends on history terms. It is well known that a Mori-Zwanzig-type projection …

The complexity of molecular dynamics simulations necessitates dimension reduction and
coarse-graining techniques to enable tractable computation. The generalized Langevin …

A nonparametric method to predict non-Markovian time series of partially observed
dynamics is developed. The prediction problem we consider is a supervised learning task of …

We develop a new data-driven closure approximation method to compute the statistical
properties of quantities of interest in high-dimensional stochastic dynamical systems. The …

Models incorporating delay have been frequently used to understand climate variability
phenomena, but often the delay is introduced through an ad hoc physical reasoning, such …

We develop a thorough mathematical analysis to deduce conditions for the accuracy and
convergence of different approximations of the memory integral in the Mori-Zwanzig (MZ) …