Keywords
- Brownian Motion
- Markov Process
- Lyapunov Exponent
- Stochastic Differential Equation
- Sphere Bundle
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Albeverio, S., Blanchard, Ph., and Hoegh-Krohn, R. (1984). Newtonian diffusions and planets, with a remark on non-standard Dirichlet forms and polymers. In 'stochastic Analysis and Applications', Proceedings, Swansea 1983, ed. A. Truman, 1–25. Lecture Notes in Maths. 1095. Springer-Verlag.
Baxendale, P. (1984) Brownian motions in the diffeomorphism group I. Compositio Math., 53, 19–50.
Carlen, E. (1984). Conservative Diffusions. Commun. Math. Phys., 94, 273–296.
Carlen, E. (1985). Potential scattering in stochastic mechanics. Ann. Inst. H. Poincaré, 42, no.4, 407–28.
Carverhill, A.P. (1985). Flows of stochastic dynamical systems: Ergodic Theory. Stochastics 14, 273–317.
Carverhill, A.P. (1985). A formula for the Lyapunov numbers of a stochastic flow. Application to a perturbation theorem. Stochastics, 14, 209–226.
Carverhill, A.P., Chappell,M.J. and Elworthy, K.D. (1986). Characteristic exponents for stochastic flows. In Stochastic Processes-Mathematics and Physics. Proceedings, Bielefeld 1984. Ed. S. Albeverio et al. pp.52–72. Lecture Notes in Mathematics 1158. Springer-Verlag.
Carverhill, A.P. and Elworthy, K.D. (1983). Flows of stochastic dynamical systems: the functional analytic approach. Z für Wahrscheinlichkeitstheorie. 65, 245–267.
Chappell, M.J. Lyapunov exponents for certain stochastic flows. Warwick University Ph.D. thesis (in preparation).
Crauel, H. (1986). Lyapunov exponents and invariant measures of stochastic systems on manifolds. In Lyapunov Exponents, Proceedings Bremen 1984, ed. L. Arnold and V. Wihstutz, pp.271–291. Lecture Notes in Maths. 1186. Springer-Verlag.
Elworthy, K.D. (1982). Stochastic differential equations on manifolds. London Mathematical Society Lecture Notes 70. Cambridge: Cambridge University Press.
Kunita, H. (1981). On the decomposition of solutions of stochastic differential equations. In Stochastic Integrals, ed. D. Williams, pp.213–255. Lecture Notes in Maths. 851. Berlin, Heidelberg, New York: Springer-Verlag.
Lewis, J.T. and Truman, A. (1986). The stochastic mechanics of the ground-state of the hydrogen atom. In Stochastic Processes-Mathematics and Physics, proceedings, Bielefeld 1984. ed. S. Albeverio et al. pp.168–179. Lecture Notes in Maths, 1158, Springer-Verlag.
Nelson, E. (1967). Dynamical Theories of Brownian Motion. Mathematical Notes. Princeton: Princeton University Press.
Ruelle, D. (1984). Characteristic Exponents for a viscous fluid subjected to time dependent forces. Commun. Math. Phys. 93, 285–300 (1984).
Shucker, D.S. (1980) Stochastic mechanics of systems with zero potential. J. of Functional Analysis, 38, 146–155.
Simon, B. (1982). Schrödinger Semigroups. Bull. Amer. Math. Soc., 7, no.3, 447–526.
Truman, A. (1986). An introduction to the stochastic mechanics of stationary states with applications. In "From local times to global geometry, control and physics", ed. K.D. Elworthy, 329–344. Pitman Research Notes in Maths. Series, 150. Longman Scientific and Technical.
Walters, P. (1975). Ergodic Theory-Introductory Lectures. Lecture Notes in Maths, 458. Springer-Verlag.
Zheng, W. (1985). Tightness results for laws of diffusion processes, application to stochastic mechanics. Ann. Inst. H. Poincaré, 21, no.2, 103–124.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Chappell, M.J., Elworthy, K.D. (1988). Flows of newtonian diffusions. In: Truman, A., Davies, I.M. (eds) Stochastic Mechanics and Stochastic Processes. Lecture Notes in Mathematics, vol 1325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077916
Download citation
DOI: https://doi.org/10.1007/BFb0077916
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50015-5
Online ISBN: 978-3-540-45887-6
eBook Packages: Springer Book Archive
