Wedagedera, Janak R.; Burroughs, N. J. Comparison of a dual strategy for T-cell activation under inhibition of the CD4 receptor. (English) Zbl 1409.92082 J. Biol. Syst. 26, No. 2, 321-338 (2018). MSC: 92C37 92C40 60F10 PDFBibTeX XMLCite \textit{J. R. Wedagedera} and \textit{N. J. Burroughs}, J. Biol. Syst. 26, No. 2, 321--338 (2018; Zbl 1409.92082) Full Text: DOI
Khoshnevisan, Davar; Kim, Kunwoo Nonlinear noise excitation of intermittent stochastic PDEs and the topology of LCA groups. (English) Zbl 1322.60116 Ann. Probab. 43, No. 4, 1944-1991 (2015). Reviewer: Isamu Dôku (Saitama) MSC: 60H15 60H25 60G51 35R60 60K37 60B15 PDFBibTeX XMLCite \textit{D. Khoshnevisan} and \textit{K. Kim}, Ann. Probab. 43, No. 4, 1944--1991 (2015; Zbl 1322.60116) Full Text: DOI arXiv Euclid
Freidlin, Mark I.; Wentzell, Alexander D. Random perturbations of dynamical systems. Translated from the Russian by J Szücs. 3rd ed. (English) Zbl 1267.60004 Grundlehren der Mathematischen Wissenschaften 260. Berlin: Springer (ISBN 978-3-642-25846-6/hbk; 978-3-642-25847-3/ebook). xxviii, 458 p. (2012). Reviewer: Jan Gairing (Berlin) MSC: 60-02 60Hxx 58J65 60F10 PDFBibTeX XMLCite \textit{M. I. Freidlin} and \textit{A. D. Wentzell}, Random perturbations of dynamical systems. Translated from the Russian by J Szücs. 3rd ed. Berlin: Springer (2012; Zbl 1267.60004) Full Text: DOI
Rigal, L.; Truffet, L. A new genetic algorithm specifically based on mutation and selection. (English) Zbl 1112.60019 Adv. Appl. Probab. 39, No. 1, 141-161 (2007). MSC: 60F10 60J10 92D15 PDFBibTeX XMLCite \textit{L. Rigal} and \textit{L. Truffet}, Adv. Appl. Probab. 39, No. 1, 141--161 (2007; Zbl 1112.60019) Full Text: DOI
Kabanov, Yu.; Pergamenshchikov, S. Two-scale stochastic systems. Asymptotic analysis and control. (English) Zbl 1033.60001 Applications of Mathematics 49. Berlin: Springer (ISBN 3-540-65332-5/hbk; 978-3-642-08467-6/pbk). xiv, 266 p. (2003). Reviewer: Henri Schurz (Carbondale) MSC: 60-02 93-02 60H10 93E20 60H30 PDFBibTeX XMLCite \textit{Yu. Kabanov} and \textit{S. Pergamenshchikov}, Two-scale stochastic systems. Asymptotic analysis and control. Berlin: Springer (2003; Zbl 1033.60001)
Zhang, Zhixiang A steady result for large deviation in SDE with an application. (English) Zbl 0987.60037 Adv. Math., Beijing 30, No. 1, 75-82 (2001). Reviewer: Yonghui Wu (Berlin) MSC: 60F10 60H10 PDFBibTeX XMLCite \textit{Z. Zhang}, Adv. Math., Beijing 30, No. 1, 75--82 (2001; Zbl 0987.60037)
Portenko, Mykola I.; Salehi, Habib; Skorokhod, Anatolii V. On large deviations for dynamical systems randomly perturbed by a fast Markov process. (English) Zbl 0988.60011 Theory Stoch. Process. 6(22), No. 1-2, 125-135 (2000). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60F10 PDFBibTeX XMLCite \textit{M. I. Portenko} et al., Theory Stoch. Process. 6(22), No. 1--2, 125--135 (2000; Zbl 0988.60011)
Bakhtin, V. I. Cramér asymptotics in a system with slow and fast Markovian motions. (English. Russian original) Zbl 0963.60025 Theory Probab. Appl. 44, No. 1, 1-17 (1999); translation from Teor. Veroyatn. Primen. 44, No. 1, 14-33 (1999). Reviewer: Mihai Gradinaru (Nancy) MSC: 60F10 60J10 PDFBibTeX XMLCite \textit{V. I. Bakhtin}, Theory Probab. Appl. 44, No. 1, 1--17 (1999; Zbl 0963.60025); translation from Teor. Veroyatn. Primen. 44, No. 1, 14--33 (1999) Full Text: DOI
Freidlin, M. I.; Wentzell, A. D. Random perturbations of dynamical systems. Transl. from the Russian by Joseph Szuecs. 2nd ed. (English) Zbl 0922.60006 Grundlehren der Mathematischen Wissenschaften. 260. New York, NY: Springer. xi, 430 p. (1998). Reviewer: Peter Imkeller (Berlin) MSC: 60-02 60Hxx 58J65 60F10 PDFBibTeX XMLCite \textit{M. I. Freidlin} and \textit{A. D. Wentzell}, Random perturbations of dynamical systems. Transl. from the Russian by Joseph Szuecs. 2nd ed. New York, NY: Springer (1998; Zbl 0922.60006)
Veretennikov, Alexandre Yu. Lower bound for large deviations for an averaged SDE with a small diffusion. (English) Zbl 0912.60048 Russ. J. Math. Phys. 5, No. 1, 99-104 (1997). Reviewer: Henri Schurz (Bogotá) MSC: 60F10 60H10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Russ. J. Math. Phys. 5, No. 1, 99--104 (1997; Zbl 0912.60048)
Veretennikov, A. Yu. On large deviations for SDE systems without bounded coefficient derivatives. (English) Zbl 0923.60073 Davies, I. M. (ed.) et al., Stochastic analysis and applications. Proceedings of the 5th Gregynog symposium, Gregynog, Powys, GB, July 9-14, 1995. Singapore: World Scientific. 471-478 (1996). Reviewer: N.Renganathan (Annamalai Nagar) MSC: 60H10 60F10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, in: Stochastic analysis and applications. Proceedings of the 5th Gregynog symposium, Gregynog, Powys, GB, July 9-14, 1995. Singapore: World Scientific. 471--478 (1996; Zbl 0923.60073)
Bondarev, B. V.; Zhirney, G. G. On the functional of action for multiparameter random fields. (English) Zbl 0837.60044 Random Oper. Stoch. Equ. 3, No. 2, 125-134 (1995). Reviewer: V.Parkhomenko (Kiev) MSC: 60G60 PDFBibTeX XMLCite \textit{B. V. Bondarev} and \textit{G. G. Zhirney}, Random Oper. Stoch. Equ. 3, No. 2, 125--134 (1995; Zbl 0837.60044) Full Text: DOI
Feng, Shui Large deviations for empirical process of mean-field interacting particle system with unbounded jumps. (English) Zbl 0852.60029 Ann. Probab. 22, No. 4, 2122-2151 (1994). Reviewer: B.Kryžienė (Vilnius) MSC: 60F10 60J75 60K35 82C26 PDFBibTeX XMLCite \textit{S. Feng}, Ann. Probab. 22, No. 4, 2122--2151 (1994; Zbl 0852.60029) Full Text: DOI
Day, Martin V. Cycling and skewing of exit measures for planar systems. (English) Zbl 0828.60018 Stochastics Stochastics Rep. 48, No. 3-4, 227-247 (1994). MSC: 60F10 60J70 60J60 60H10 PDFBibTeX XMLCite \textit{M. V. Day}, Stochastics Stochastics Rep. 48, No. 3--4, 227--247 (1994; Zbl 0828.60018) Full Text: DOI
Pierre-Loti-Viaud, Daniel; Portal, Frédéric Large deviations for random perturbations of discrete time dynamical systems. (English) Zbl 0789.60024 Bull. Sci. Math., II. Sér. 117, No. 3, 333-355 (1993). Reviewer: J.Steinebach (Marburg) MSC: 60F10 60G99 60J10 60J80 60G40 PDFBibTeX XMLCite \textit{D. Pierre-Loti-Viaud} and \textit{F. Portal}, Bull. Sci. Math., II. Sér. 117, No. 3, 333--355 (1993; Zbl 0789.60024)
Qian, Zhongmin Large deviation property for Riemannian Brownian motion on a complete manifold. (English) Zbl 0780.58048 Chin. Ann. Math., Ser. B 14, No. 2, 237-244 (1993). Reviewer: Yu.E.Gliklikh (Voronezh) MSC: 58J65 60J65 60F10 53C21 PDFBibTeX XMLCite \textit{Z. Qian}, Chin. Ann. Math., Ser. B 14, No. 2, 237--244 (1993; Zbl 0780.58048)
Miclo, Laurent Simulated annealing on a Riemannian manifold without assuming the existence of a potential. (Recuit simulé sans potentiel sur une variété riemannienne compacte.) (French) Zbl 0758.60033 Stochastics Stochastics Rep. 41, No. 1-2, 23-56 (1992). MSC: 60F99 58J65 PDFBibTeX XMLCite \textit{L. Miclo}, Stochastics Stochastics Rep. 41, No. 1--2, 23--56 (1992; Zbl 0758.60033) Full Text: DOI
Fleming, W. H.; James, M. R. Asymptotic series and exit time probabilities. (English) Zbl 0771.60055 Ann. Probab. 20, No. 3, 1369-1384 (1992). Reviewer: I.Cuculescu (Bucureşti) MSC: 60J60 60F10 35C20 60H20 PDFBibTeX XMLCite \textit{W. H. Fleming} and \textit{M. R. James}, Ann. Probab. 20, No. 3, 1369--1384 (1992; Zbl 0771.60055) Full Text: DOI
Veretennikov, A. Yu. On asymptotic properties of stationary processes: large deviations and exponential mixing. (English) Zbl 0817.60024 Shiryaev, A. N. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 403-413 (1992). MSC: 60F10 60G10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, in: Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 403--413 (1992; Zbl 0817.60024)
Veretennikov, A. Yu. On large deviations in the averaging principle for stochastic differential equations with periodic coefficients. II. (Russian) Zbl 0735.60030 Izv. Akad. Nauk SSSR, Ser. Mat. 55, No. 4, 691-715 (1991). Reviewer: A.Yu.Veretennikov (Moskva) MSC: 60F10 60H10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Izv. Akad. Nauk SSSR, Ser. Mat. 55, No. 4, 691--715 (1991; Zbl 0735.60030)
Veretennikov, A. Yu. On large deviations in the averaging principle for stochastic differential equations with periodic coefficients. II. (English. Russian original) Zbl 0783.60031 Math. USSR, Izv. 39, No. 1, 677-701 (1992); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 55, No. 4, 691-715 (1991). MSC: 60F10 60H10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Math. USSR, Izv. 39, No. 1, 677--701 (1991; Zbl 0783.60031); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 55, No. 4, 691--715 (1991) Full Text: DOI
Veretennikov, A. Yu. On large deviations in the averaging principle for diffusion processes. (Russian) Zbl 0770.60028 Infinite-dimensional stochastic analysis, Collect. Sci. Works, 16-18 (1990). Reviewer: Gong Guanglu (Beijing) MSC: 60F10 60J60 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, in: Бесконечномерный стохастический анализ. Сборник научных трудов. Kiev: Institut Matematiki AN USSR. 16--18 (1990; Zbl 0770.60028)
Royer, G. A remark on simulated annealing of diffusion processes. (English) Zbl 0689.60059 SIAM J. Control Optimization 27, No. 6, 1403-1408 (1989). MSC: 60H10 60J70 60F10 PDFBibTeX XMLCite \textit{G. Royer}, SIAM J. Control Optim. 27, No. 6, 1403--1408 (1989; Zbl 0689.60059) Full Text: DOI
Morrow, Gregory J.; Sawyer, Stanley Large deviation results for a class of Markov chains arising from population genetics. (English) Zbl 0684.60018 Ann. Probab. 17, No. 3, 1124-1146 (1989). Reviewer: K.U.Schaumlöffel MSC: 60F10 60J60 92D10 60G40 PDFBibTeX XMLCite \textit{G. J. Morrow} and \textit{S. Sawyer}, Ann. Probab. 17, No. 3, 1124--1146 (1989; Zbl 0684.60018) Full Text: DOI
Azencott, Robert Simulated annealing. (English) Zbl 0687.60086 Sémin. Bourbaki, 40 ème Année, Vol. 1987/88, Exp. No. 697, Astérisque 161-162, 223-237 (1988). Reviewer: Y.C.Yang MSC: 60K35 65C99 82D30 65Y05 PDFBibTeX XML Full Text: Numdam EuDML
Baldi, Paolo Large deviations and stochastic homogenization. (English) Zbl 0654.60024 Ann. Mat. Pura Appl., IV. Ser. 151, 161-177 (1988). Reviewer: K.U.Schaumlöffel MSC: 60F10 PDFBibTeX XMLCite \textit{P. Baldi}, Ann. Mat. Pura Appl. (4) 151, 161--177 (1988; Zbl 0654.60024) Full Text: DOI
Baldi, P.; Chaleyat-Maurel, M. An extension of Ventsel-Freidlin estimates. (English) Zbl 0642.60037 Stochastic analysis and related topics, Proc. Workshop, Silivri/Turk., Lect. Notes Math. 1316, 305-327 (1988). Reviewer: M.Chaleyat-Maurel MSC: 60H10 60J60 60F10 PDFBibTeX XML
Kifer, Yuri Random perturbations of dynamical systems. (English) Zbl 0659.58003 Progress in Probability and Statistics, 16. Boston, MA etc.: Birkhäuser Verlag. 294 p. DM 88.00 (1988). Reviewer: H.Crauel MSC: 58-02 60-02 37A99 37D99 37C70 34C40 58J65 PDFBibTeX XMLCite \textit{Y. Kifer}, Random perturbations of dynamical systems. Boston, MA etc.: Birkhäuser Verlag (1988; Zbl 0659.58003)
Galves, Antonio; Olivieri, Enzo; Vares, Maria Eulália Metastability for a class of dynamical systems subject to small random perturbations. (English) Zbl 0709.60058 Ann. Probab. 15, 1288-1305 (1987). MSC: 60H10 60J60 60K35 PDFBibTeX XMLCite \textit{A. Galves} et al., Ann. Probab. 15, 1288--1305 (1987; Zbl 0709.60058) Full Text: DOI
Zabczyk, J. Stable dynamical systems under small perturbations. (English) Zbl 0652.60060 J. Math. Anal. Appl. 125, 568-588 (1987). Reviewer: J.Zabozyk MSC: 60H10 60F10 93E15 60J60 PDFBibTeX XMLCite \textit{J. Zabczyk}, J. Math. Anal. Appl. 125, 568--588 (1987; Zbl 0652.60060) Full Text: DOI
Sznitman, Alain-Sol Grandes déviations. (Large deviations). (French) Zbl 0636.60023 Sémin. Bourbaki, 39ème année, Vol. 1986/87, Astérisque 152/153, 207-227 (1987). Reviewer: Wa Chengxun MSC: 60F10 60J25 62G20 PDFBibTeX XML Full Text: Numdam EuDML
Zabczyk, J. Exit problem for infinite dimensional systems. (English) Zbl 0617.60057 Stochastic partial differential equations and applications, Proc. Conf., Trento/Italy 1985, Lect. Notes Math. 1236, 239-257 (1987). MSC: 60H15 60F10 PDFBibTeX XML
Varadhan, S. R. S. Stochastic differential equations. (English) Zbl 0659.60082 Critical phenomena, random systems, gauge theories, Proc. Summer Sch. Theor. Phys., Sess. 43, Les Houches/France 1984, Pt. 2, 625-678 (1986). Reviewer: M.Breger MSC: 60H10 60F10 PDFBibTeX XML
Day, Martin V.; Darden, Thomas A. Some regularity results on the Ventcel-Freidlin quasi-potential function. (English) Zbl 0581.60044 Appl. Math. Optimization 13, 259-282 (1985). Reviewer: K.Wickwire MSC: 60H10 49J40 PDFBibTeX XMLCite \textit{M. V. Day} and \textit{T. A. Darden}, Appl. Math. Optim. 13, 259--282 (1985; Zbl 0581.60044) Full Text: DOI
Frejdlin, M. I. On stabilization of the solutions of parabolic equations with small parameter. (English) Zbl 0547.60079 Proc. Natl. Acad. Sci. USA 81, 5267-5270 (1984). Reviewer: Y.Kifer MSC: 60J60 60F10 35B25 76M45 76D10 PDFBibTeX XMLCite \textit{M. I. Frejdlin}, Proc. Natl. Acad. Sci. USA 81, 5267--5270 (1984; Zbl 0547.60079) Full Text: DOI