Previous article Next article Rough Limit Theorems on Large Deviations for Markov Stochastic Processes, IIA. D. Ventsel’A. D. Ventsel’https://doi.org/10.1137/1121062PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] H. Cramér, Sur un nouveau théorème limité de la théorie des probabilités, Act. Sci. et Ind., 736 (1038), 64.0529.01 Google Scholar[2] A. A. Borovkov, Boundary-value problems for random walks and large deviations in function spaces, Theory Prob. Applications, 12 (1967), 575–595 10.1137/1112074 0178.20004 LinkGoogle Scholar[3] A. D. Ventsel' and , M. I. Freidlin, On small random perturbations of dynamical systems, Russian Math. Surveys, 25 (1970), 1–55 10.1070/rm1970v025n01ABEH001254 0297.34053 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Moderate deviations-based importance sampling for stochastic recursive equations17 November 2017 | Advances in Applied Probability, Vol. 49, No. 4 Cross Ref The influence of demographic stochasticity on evolutionary dynamics and stabilityTheoretical Population Biology, Vol. 88 Cross Ref The Canonical Equation of Adaptive Dynamics: A Mathematical ViewSelection, Vol. 2, No. 1-2 Cross Ref Limit Theorems on Large Deviations Cross Ref Some Large Deviations Results in Markov Fluid Models27 July 2009 | Probability in the Engineering and Informational Sciences, Vol. 6, No. 4 Cross Ref Colliding stacks: A large deviations analysis5 July 2007 | Random Structures & Algorithms, Vol. 2, No. 4 Cross Ref Phase transition in an interacting Bose system. An application of the theory of Ventsel' and FreidlinJournal of Statistical Physics, Vol. 61, No. 3-4 Cross Ref A quick simulation method for excessive backlogs in networks of queuesIEEE Transactions on Automatic Control, Vol. 34, No. 1 Cross Ref Quick Simulation of Excessive Backlogs in Networks of Queues Cross Ref Large Deviations Estimates for Systems with Small Noise Effects, and Applications to Stochastic Systems TheoryPaul Dupuis and Harold J. Kushner1 August 2006 | SIAM Journal on Control and Optimization, Vol. 24, No. 5AbstractPDF (2550 KB)A new technique for analyzing large traffic systems1 July 2016 | Advances in Applied Probability, Vol. 18, No. 2 Cross Ref Large deviations from classical paths. Hamiltonian flows as classical limits of quantum flowsCommunications in Mathematical Physics, Vol. 101, No. 2 Cross Ref Estimates of quantum deviations from classical mechanics using large deviation results15 September 2006 Cross Ref Large deviations and rare events in the study of stochastic algorithmsIEEE Transactions on Automatic Control, Vol. 28, No. 9 Cross Ref Rough Limit Theorems on Large Deviations for Markov Stochastic Processes. IVA. D. Venttsel’17 July 2006 | Theory of Probability & Its Applications, Vol. 27, No. 2AbstractPDF (1661 KB)Rough Limit Theorems on Large Deviations for Markov Stochastic Processes. IIIA. D. Ventsel’17 July 2006 | Theory of Probability & Its Applications, Vol. 24, No. 4AbstractPDF (1563 KB)On Large Deviation Probabilities for Sums of Independent Random VectorsL. V. Osipov17 July 2006 | Theory of Probability & Its Applications, Vol. 23, No. 3AbstractPDF (1498 KB)Remarks on Large Deviations for the $\omega ^2 $ StatisticsA. A. Mogul’skii17 July 2006 | Theory of Probability & Its Applications, Vol. 22, No. 1AbstractPDF (436 KB) Volume 21, Issue 3| 1977Theory of Probability & Its Applications History Submitted:08 October 1974Published online:28 July 2006 InformationCopyright © 1977 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1121062Article page range:pp. 499-512ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics