Dissertation/Thesis Abstract

Conditions for deterministic limits of markov jump processes: The Kurtz theorem in chemistry
by Sedova, Ada, M.A., State University of New York at Albany, 2015, 133; 1588003
Abstract (Summary)

A theorem by Kurtz on convergence of Markov jump processes is presented as it relates to the use of the chemical master equation. Necessary mathematical background in the theory of stochastic processes is developed, as well as requirements of the mathematical model necessitated by results in the physical sciences. Applicability and usefulness of the master equation for this type of combinatorial model in chemistry is discussed, as well as analytical connections and modern applications in multiple research fields.

Indexing (document details)
Advisor: Hildebrand, Martin V.
Commitee: Isralowitz, Joshua B., Reinhold-Larsson, Karin B.
School: State University of New York at Albany
Department: Mathematics
School Location: United States -- New York
Source: MAI 54/04M(E), Masters Abstracts International
Subjects: Applied Mathematics, Mathematics, Physical chemistry
Keywords: Chemical kinetics, Chemical physics, Mathematical models, Operator semigroups, Probability theory, Stochastic processes
Publication Number: 1588003
ISBN: 9781321726718