title: Transition-path theory and path-finding algorithms for the study of rare events.
abstract: Transition-path theory is a theoretical framework for describing rare events in complex systems. It can also be used as a starting point for developing efficient numerical algorithms for analyzing such rare events. Here we review the basic components of transition-path theory and path-finding algorithms. We also discuss connections with the classical transition-state theory.
authors.affiliation: Department of Mathematics and Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA. weinan@princeton.edu
authors.forename: Weinan
authors.initials: W
authors.lastname: E
authors.forename: Eric
authors.initials: E
authors.lastname: Vanden-Eijnden