D. L. Stein

Limiting exit location distributions in the stochastic exit problem

Consider a two-dimensional continuous-time dynamical system, with an attracting fixed point S. If the deterministic dynamics are perturbed by white noise (random perturbations) of strength

Escape over a fluctuating barrier: The white noise limit

\epsilon

Non-mean-field behavior of realistic spin glasses

, the system state will eventually leave the domain of attraction

A Scaling Theory of Bifurcations in the Symmetric Weak-Noise Escape Problem

\Omega

Spin Glasses and Biology

of S. We analyze the case when, as

Metastate approach to thermodynamic chaos

\epsilon\to0

Spatial inhomogeneity and thermodynamic chaos

, the exit location on the boundary

Droplet nucleation and domain wall motion in a bounded interval

\partial\Omega

Thermodynamic Chaos and the Structure of Short-Range Spin Glasses

is increasingly concentrated near a saddle point H of the deterministic dynamics. We show using formal methods that the asymptotic form of the exit location distribution on

Ground-state structure in a highly disordered spin-glass model

\partial\Omega