title: A MATHEMATICAL FRAMEWORK FOR EXACT MILESTONING.
abstract: We give a mathematical framework for Exact Milestoning, a recently introduced algorithm for mapping a continuous time stochastic process into a Markov chain or semi-Markov process that can be efficiently simulated and analyzed. We generalize the setting of Exact Milestoning and give explicit error bounds for the error in the Milestoning equation for mean first passage times.
authors.affiliation: Department of Mathematics, Colorado State University, Fort Collins, CO.
authors.forename: David
authors.initials: D
authors.lastname: Aristoff
authors.affiliation: Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX.
authors.forename: Juan M
authors.initials: JM
authors.lastname: Bello-Rivas
authors.affiliation: Institute for Computational Engineering and Sciences, Department of Chemistry, University of Texas at Austin, Austin, TX.
authors.forename: Ron
authors.initials: R
authors.lastname: Elber
keywords: accelerated molecular dynamics; long-time dynamics; semi-Markov processes; stationary distribution