The calculation of rate coefficients is a discipline of nonlinear science of importance to much
of physics, chemistry, engineering, and biology. Fifty years after Kramers' seminal paper on …

This paper presents the results of a functional-integral approach to the dynamics of a two-
state system coupled to a dissipative environment. It is primarily an extended account of …

The subject of this paper is the evolution of Brownian particles in disordered environments.
The “Ariadne's clew” we follow is understanding of the general statistical mechanisms which …

The purpose of this book is to present various results and techniques from the theory of
stochastic processes and in particular diffusion processes that are useful in the study of …

The quantum mechanical dynamics of a particle coupled to a heat bath is treated by
functional integral methods and a generalization of the Feynman-Vernon influence …

The old question of" How long does it take to tunnel through a barrier?" has acquired new
urgency with the advent of techniques for the fabrication of semiconductor structures in the …

Experiments are described that demonstrate the quantum behavior of a macroscopic degree
of freedom, namely the phase difference δ across a current-biased Josephson tunnel …

This book gives an introduction to the mathematical theory of cooperative behavior in active
systems of various origins, both natural and artificial. It is based on a lecture course in …

Stochastic Gradient Descent (SGD) and its variants are mainstream methods for training
deep networks in practice. SGD is known to find a flat minimum that often generalizes well …

The climate is a forced, dissipative, nonlinear, complex, and heterogeneous system that is
out of thermodynamic equilibrium. The system exhibits natural variability on many scales of …