Tang, Hao On the stochastic Euler-Poincaré equations driven by pseudo-differential/multiplicative noise. (English) Zbl 1521.60032 J. Funct. Anal. 285, No. 9, Article ID 110075, 61 p. (2023). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60H15 35Q35 35A01 35S10 PDFBibTeX XMLCite \textit{H. Tang}, J. Funct. Anal. 285, No. 9, Article ID 110075, 61 p. (2023; Zbl 1521.60032) Full Text: DOI arXiv
Fournier, Nicolas; Tardif, Camille On the simulated annealing in \(\mathbb{R}^d\). (English) Zbl 1481.60155 J. Funct. Anal. 281, No. 5, Article ID 109086, 30 p. (2021). Reviewer: Michael Voit (Dortmund) MSC: 60J60 60F05 PDFBibTeX XMLCite \textit{N. Fournier} and \textit{C. Tardif}, J. Funct. Anal. 281, No. 5, Article ID 109086, 30 p. (2021; Zbl 1481.60155) Full Text: DOI arXiv
Hino, Masanori; Matsuura, Kouhei; Yonezawa, Misaki Pathwise uniqueness and non-explosion property of Skorohod SDEs with a class of non-Lipschitz coefficients and non-smooth domains. (English) Zbl 1481.60108 J. Theor. Probab. 34, No. 4, 2166-2191 (2021). MSC: 60H10 PDFBibTeX XMLCite \textit{M. Hino} et al., J. Theor. Probab. 34, No. 4, 2166--2191 (2021; Zbl 1481.60108) Full Text: DOI arXiv
Lee, Haesung; Trutnau, Gerald Existence, uniqueness and ergodic properties for time-homogeneous Itô-SDEs with locally integrable drifts and Sobolev diffusion coefficients. (English) Zbl 1517.60079 Tôhoku Math. J. (2) 73, No. 2, 159-198 (2021). MSC: 60H20 47D07 60J35 31C25 60J60 35B65 PDFBibTeX XMLCite \textit{H. Lee} and \textit{G. Trutnau}, Tôhoku Math. J. (2) 73, No. 2, 159--198 (2021; Zbl 1517.60079) Full Text: DOI arXiv
Maurelli, Mario Non-explosion by Stratonovich noise for ODEs. (English) Zbl 1455.60076 Electron. Commun. Probab. 25, Paper No. 68, 10 p. (2020). MSC: 60H10 37A25 PDFBibTeX XMLCite \textit{M. Maurelli}, Electron. Commun. Probab. 25, Paper No. 68, 10 p. (2020; Zbl 1455.60076) Full Text: DOI arXiv Euclid
Zhang, Shao-Qin Regime-switching diffusion processes: strong solutions and strong Feller property. (English) Zbl 1427.60147 Stochastic Anal. Appl. 38, No. 1, 97-123 (2020). MSC: 60J05 60J60 PDFBibTeX XMLCite \textit{S.-Q. Zhang}, Stochastic Anal. Appl. 38, No. 1, 97--123 (2020; Zbl 1427.60147) Full Text: DOI arXiv
Wang, Chen; Zhang, Tusheng Pathwise uniqueness and non-explosion of SDEs driven by compensated Poisson random measures. (English) Zbl 1433.60043 Stat. Probab. Lett. 150, 61-67 (2019). MSC: 60H10 60J60 60G57 PDFBibTeX XMLCite \textit{C. Wang} and \textit{T. Zhang}, Stat. Probab. Lett. 150, 61--67 (2019; Zbl 1433.60043) Full Text: DOI
Lan, Guangqiang; Xia, Fang; Wang, Qiushi Polynomial stability of exact solution and a numerical method for stochastic differential equations with time-dependent delay. (English) Zbl 1403.65005 J. Comput. Appl. Math. 346, 340-356 (2019). MSC: 65C30 60H10 PDFBibTeX XMLCite \textit{G. Lan} et al., J. Comput. Appl. Math. 346, 340--356 (2019; Zbl 1403.65005) Full Text: DOI arXiv
Dong, Yuchao Jump stochastic differential equations with non-Lipschitz and superlinearly growing coefficients. (English) Zbl 1498.60208 Stochastics 90, No. 5, 782-806 (2018). MSC: 60H10 PDFBibTeX XMLCite \textit{Y. Dong}, Stochastics 90, No. 5, 782--806 (2018; Zbl 1498.60208) Full Text: DOI arXiv
Shin, Jiyong; Trutnau, Gerald On singular stochastic differential equations and Dirichlet forms. (English) Zbl 1399.31012 Rev. Roum. Math. Pures Appl. 62, No. 1, 217-258 (2017). Reviewer: Pavel Gapeev (London) MSC: 31C25 60J60 60J35 47D07 31C15 60H20 60J55 PDFBibTeX XMLCite \textit{J. Shin} and \textit{G. Trutnau}, Rev. Roum. Math. Pures Appl. 62, No. 1, 217--258 (2017; Zbl 1399.31012) Full Text: arXiv
Gim, Minjung; Trutnau, Gerald Conservativeness criteria for generalized Dirichlet forms. (English) Zbl 1395.60087 J. Math. Anal. Appl. 448, No. 2, 1419-1449 (2017). MSC: 60J25 60J60 PDFBibTeX XMLCite \textit{M. Gim} and \textit{G. Trutnau}, J. Math. Anal. Appl. 448, No. 2, 1419--1449 (2017; Zbl 1395.60087) Full Text: DOI arXiv
Wang, Fengyu Stochastic (partial) differential equations with singular coefficients. (Chinese. English summary) Zbl 1389.60073 J. Beijing Norm. Univ., Nat. Sci. 52, No. 6, 663-668 (2016). MSC: 60H10 60H15 PDFBibTeX XMLCite \textit{F. Wang}, J. Beijing Norm. Univ., Nat. Sci. 52, No. 6, 663--668 (2016; Zbl 1389.60073) Full Text: DOI
Hu, Yangzi; Wu, Fuke The improved results on the stochastic Kolmogorov system with time-varying delay. (English) Zbl 1335.60092 Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1481-1497 (2015). MSC: 60H10 34F05 34K50 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{F. Wu}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1481--1497 (2015; Zbl 1335.60092) Full Text: DOI
Elworthy, David Decompositions of diffusion operators and related couplings. (English) Zbl 1387.58035 Crisan, Dan (ed.) et al., Stochastic analysis and applications 2014. In honour of Terry Lyons. Selected articles based on the presentations at the conference, Oxford, UK, September 23–27, 2013. Cham: Springer (ISBN 978-3-319-11291-6/hbk; 978-3-319-11292-3/ebook). Springer Proceedings in Mathematics & Statistics 100, 283-306 (2014). MSC: 58J65 53C12 58J35 PDFBibTeX XMLCite \textit{D. Elworthy}, Springer Proc. Math. Stat. 100, 283--306 (2014; Zbl 1387.58035) Full Text: DOI
Grigor’yan, Alexander; Masamune, Jun Parabolicity and stochastic completeness of manifolds in terms of the Green formula. (English. French summary) Zbl 1356.58007 J. Math. Pures Appl. (9) 100, No. 5, 607-632 (2013). Reviewer: Simon Eloshvili (Tbilisi) MSC: 58J35 58J65 35K08 31C12 PDFBibTeX XMLCite \textit{A. Grigor'yan} and \textit{J. Masamune}, J. Math. Pures Appl. (9) 100, No. 5, 607--632 (2013; Zbl 1356.58007) Full Text: DOI
Bailleul, Ismaël; Franchi, Jacques Nonexplosion criteria for relativistic diffusions. (English) Zbl 1262.83026 Ann. Probab. 40, No. 5, 2168-2196 (2012). Reviewer: Maria Gordina (Storrs) MSC: 83C55 58J65 31C12 60J50 53C50 83C10 PDFBibTeX XMLCite \textit{I. Bailleul} and \textit{J. Franchi}, Ann. Probab. 40, No. 5, 2168--2196 (2012; Zbl 1262.83026) Full Text: DOI arXiv Euclid
Takeda, Masayoshi; Trutnau, Gerald Conservativeness of non-symmetric diffusion processes generated by perturbed divergence forms. (English) Zbl 1252.60081 Forum Math. 24, No. 2, 419-444 (2012). Reviewer: Aleksandar Mijatovic (London) MSC: 60J60 31C25 60H30 35A01 PDFBibTeX XMLCite \textit{M. Takeda} and \textit{G. Trutnau}, Forum Math. 24, No. 2, 419--444 (2012; Zbl 1252.60081) Full Text: DOI arXiv
Wang, Jian Stability of Markov processes generated by Lévy type operators. (Chinese. English translation) Zbl 1240.60212 Chin. Ann. Math., Ser. A 32, No. 1, 33-50 (2011); translation in Chin. J. Contemp. Math. 32, No. 1, 33-52 (2011). MSC: 60J25 60J75 PDFBibTeX XMLCite \textit{J. Wang}, Chin. Ann. Math., Ser. A 32, No. 1, 33--50 (2011; Zbl 1240.60212); translation in Chin. J. Contemp. Math. 32, No. 1, 33--52 (2011)
Kuwada, Kazumasa; Philipowski, Robert Non-explosion of diffusion processes on manifolds with time-dependent metric. (English) Zbl 1226.53039 Math. Z. 268, No. 3-4, 979-991 (2011). Reviewer: Alberto Parmeggiani (Bologna) MSC: 53C21 53C44 58J35 60J60 58J65 PDFBibTeX XMLCite \textit{K. Kuwada} and \textit{R. Philipowski}, Math. Z. 268, No. 3--4, 979--991 (2011; Zbl 1226.53039) Full Text: DOI arXiv
Hu, Yangzi; Wu, Fuke; Huang, Chengming Stochastic Lotka-Volterra models with multiple delays. (English) Zbl 1245.92063 J. Math. Anal. Appl. 375, No. 1, 42-57 (2011). Reviewer: Michael Scheutzow (Berlin) MSC: 92D40 34K50 60H10 60J70 PDFBibTeX XMLCite \textit{Y. Hu} et al., J. Math. Anal. Appl. 375, No. 1, 42--57 (2011; Zbl 1245.92063) Full Text: DOI
Lan, Guangqiang Pathwise uniqueness and non-explosion of SDEs with non-Lipschitzian coefficients. (Chinese. English summary) Zbl 1199.60216 Acta Math. Sin., Chin. Ser. 52, No. 4, 731-736 (2009). MSC: 60H10 PDFBibTeX XMLCite \textit{G. Lan}, Acta Math. Sin., Chin. Ser. 52, No. 4, 731--736 (2009; Zbl 1199.60216)
Antoniouk, A. Val.; Antoniouk, A. Vict. Nonexplosion and solvability of nonlinear diffusion equations on noncompact manifolds. (English) Zbl 1164.58009 Ukr. Mat. Zh. 59, No. 11, 1454-1472 (2007) and Ukr. Math. J. 59, No. 11, 1632-1652 (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 58J65 60J60 PDFBibTeX XMLCite \textit{A. Val. Antoniouk} and \textit{A. Vict. Antoniouk}, Ukr. Mat. Zh. 59, No. 11, 1454--1472 (2007; Zbl 1164.58009) Full Text: DOI
Liang, Zongxia Stochastic differential equation driven by countably many Brownian motions with non-Lipschitzian coefficients. (English) Zbl 1094.60042 Stochastic Anal. Appl. 24, No. 3, 501-529 (2006). MSC: 60H10 60F10 60J60 34A12 PDFBibTeX XMLCite \textit{Z. Liang}, Stochastic Anal. Appl. 24, No. 3, 501--529 (2006; Zbl 1094.60042) Full Text: DOI
Fang, Shizan; Zhang, Tusheng A study of a class of stochastic differential equations with non-Lipschitzian coefficients. (English) Zbl 1081.60043 Probab. Theory Relat. Fields 132, No. 3, 356-390 (2005). Reviewer: George Stoica (Saint John) MSC: 60H10 60J60 34A12 34A40 PDFBibTeX XMLCite \textit{S. Fang} and \textit{T. Zhang}, Probab. Theory Relat. Fields 132, No. 3, 356--390 (2005; Zbl 1081.60043) Full Text: DOI
Mao, Xuerong; Rassias, Matina John Khasminskii-type theorems for stochastic differential delay equations. (English) Zbl 1082.60055 Stochastic Anal. Appl. 23, No. 5, 1045-1069 (2005). Reviewer: Rainer Buckdahn (Brest) MSC: 60H10 34K50 34K12 60J65 PDFBibTeX XMLCite \textit{X. Mao} and \textit{M. J. Rassias}, Stochastic Anal. Appl. 23, No. 5, 1045--1069 (2005; Zbl 1082.60055) Full Text: DOI
Mao, Xuerong Delay population dynamics and environmental noise. (English) Zbl 1093.60033 Stoch. Dyn. 5, No. 2, 149-162 (2005). Reviewer: Carlos A. Braumann (Évora) MSC: 60H10 92D25 34K50 PDFBibTeX XMLCite \textit{X. Mao}, Stoch. Dyn. 5, No. 2, 149--162 (2005; Zbl 1093.60033) Full Text: DOI
Chebotarev, A. M. Lectures on quantum probability. (English) Zbl 1010.60093 Aportaciones Matematicas, Textos. 14 (Nivel Avanzado). Mexico: Sociedad Matemática Mexicana. iv, 292 p. (2000). Reviewer: A.S.Holevo (Moskva) MSC: 60K40 60-02 81S25 81-02 PDFBibTeX XMLCite \textit{A. M. Chebotarev}, Lectures on quantum probability. Mexico: Sociedad Matemática Mexicana (2000; Zbl 1010.60093)
Wu, Yadong A three level particle system and existence of general multilevel measure-valued processes. (English) Zbl 0805.60085 Dawson, D. A. (ed.), Measure-valued processes, stochastic partial differential equations, and interacting systems. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 5, 233-241 (1994). Reviewer: Y.Wu (Ottawa) MSC: 60J80 60J57 60J60 60J35 60E10 PDFBibTeX XMLCite \textit{Y. Wu}, in: Measure-valued processes, stochastic partial differential equations, and interacting systems. Providence, RI: American Mathematical Society. 233--241 (1994; Zbl 0805.60085)
Da Prato, Giuseppe; Zabczyk, Jerzy Non-explosion, boundedness, and ergodicity for stochastic semilinear equations. (English) Zbl 0762.60052 J. Differ. Equations 98, No. 1, 181-195 (1992). Reviewer: T.Sasagawa (Tokyo) MSC: 60H15 PDFBibTeX XMLCite \textit{G. Da Prato} and \textit{J. Zabczyk}, J. Differ. Equations 98, No. 1, 181--195 (1992; Zbl 0762.60052) Full Text: DOI
Liggett, Thomas M. Finite nearest particle systems. (English) Zbl 0557.60087 Z. Wahrscheinlichkeitstheor. Verw. Geb. 68, 65-73 (1984). Reviewer: H.Rost MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 68, 65--73 (1984; Zbl 0557.60087) Full Text: DOI
Lebedev, V. A. On non-explosion for the solution of a stochastic differential equation. (English) Zbl 0543.60066 Stochastics 11, 301-314 (1984). Reviewer: M.C.Cranston MSC: 60H10 60G44 60G57 PDFBibTeX XMLCite \textit{V. A. Lebedev}, Stochastics 11, 301--314 (1984; Zbl 0543.60066) Full Text: DOI
Cruzeiro, Ana Bela Equations différentielles ordinaires: Non explosion et mesures quasi- invariantes. (French) Zbl 0523.28020 J. Funct. Anal. 54, 193-205 (1983). MSC: 28D10 37C10 PDFBibTeX XMLCite \textit{A. B. Cruzeiro}, J. Funct. Anal. 54, 193--205 (1983; Zbl 0523.28020) Full Text: DOI