Qian, Zhongmin; Xu, Xingcheng Probability bounds for reflecting diffusion processes. (English) Zbl 1515.60268 Stat. Probab. Lett. 199, Article ID 109855, 8 p. (2023). MSC: 60J60 60J65 93E20 35B05 35K10 PDFBibTeX XMLCite \textit{Z. Qian} and \textit{X. Xu}, Stat. Probab. Lett. 199, Article ID 109855, 8 p. (2023; Zbl 1515.60268) Full Text: DOI arXiv
Qian, Zhongmin; Yao, Yuhan McKean-Vlasov type stochastic differential equations arising from the random vortex method. (English) Zbl 1490.60205 SN Partial Differ. Equ. Appl. 3, No. 1, Paper No. 7, 22 p. (2022). MSC: 60H30 35Q30 76D17 PDFBibTeX XMLCite \textit{Z. Qian} and \textit{Y. Yao}, SN Partial Differ. Equ. Appl. 3, No. 1, Paper No. 7, 22 p. (2022; Zbl 1490.60205) Full Text: DOI arXiv
Qian, Zhongmin; Xi, Guangyu Markov semi-groups generated by elliptic operators with divergence-free drift. (English) Zbl 1461.35116 J. Math. Anal. Appl. 499, No. 1, Article ID 125021, 12 p. (2021). MSC: 35K15 35C15 35A08 47D07 PDFBibTeX XMLCite \textit{Z. Qian} and \textit{G. Xi}, J. Math. Anal. Appl. 499, No. 1, Article ID 125021, 12 p. (2021; Zbl 1461.35116) Full Text: DOI arXiv
Qian, Zhongmin; Xi, Guangyu Parabolic equations with divergence-free drift in space \(L_t^\ell L_x^q\). (English) Zbl 1423.35142 Indiana Univ. Math. J. 68, No. 3, 761-797 (2019). MSC: 35K10 35A08 PDFBibTeX XMLCite \textit{Z. Qian} and \textit{G. Xi}, Indiana Univ. Math. J. 68, No. 3, 761--797 (2019; Zbl 1423.35142) Full Text: DOI arXiv
Qian, Zhongmin; Xi, Guangyu Parabolic equations with singular divergence-free drift vector fields. (English) Zbl 1423.35139 J. Lond. Math. Soc., II. Ser. 100, No. 1, 17-40 (2019). MSC: 35K08 PDFBibTeX XMLCite \textit{Z. Qian} and \textit{G. Xi}, J. Lond. Math. Soc., II. Ser. 100, No. 1, 17--40 (2019; Zbl 1423.35139) Full Text: DOI arXiv
Le Jan, Yves; Qian, Zhongmin Stratonovich’s signatures of Brownian motion determine Brownian sample paths. (English) Zbl 1291.60110 Probab. Theory Relat. Fields 157, No. 1-2, 209-223 (2013). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60H05 60H10 60H30 60J45 PDFBibTeX XMLCite \textit{Y. Le Jan} and \textit{Z. Qian}, Probab. Theory Relat. Fields 157, No. 1--2, 209--223 (2013; Zbl 1291.60110) Full Text: DOI arXiv
Ledoux, M.; Qian, Z.; Zhang, T. Large deviations and support theorem for diffusion processes via rough paths. (English) Zbl 1075.60510 Stochastic Processes Appl. 102, No. 2, 265-283 (2002). MSC: 60F10 60J60 60H10 PDFBibTeX XMLCite \textit{M. Ledoux} et al., Stochastic Processes Appl. 102, No. 2, 265--283 (2002; Zbl 1075.60510) Full Text: DOI
Chen, Zhen-Qing; Qian, Zhongmin; Hu, Yaozhong; Zheng, Weian Stability and approximations of symmetric diffusion semigroups and kernels. (English) Zbl 0907.47036 J. Funct. Anal. 152, No. 1, 255-280 (1998). Reviewer: R.Nagel (Tübingen) MSC: 47D06 35K57 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., J. Funct. Anal. 152, No. 1, 255--280 (1998; Zbl 0907.47036) Full Text: DOI
Qian, Zhongmin A gradient estimate on a manifold with convex boundary. (English) Zbl 0885.58086 Proc. R. Soc. Edinb., Sect. A 127, No. 1, 171-179 (1997). Reviewer: W.Hoh (Bielefeld) MSC: 58J05 53C21 PDFBibTeX XMLCite \textit{Z. Qian}, Proc. R. Soc. Edinb., Sect. A, Math. 127, No. 1, 171--179 (1997; Zbl 0885.58086) Full Text: DOI
Lyons, Terry; Qian, Zhongmin Flow equations on spaces of rough paths. (English) Zbl 0890.58090 J. Funct. Anal. 149, No. 1, 135-159 (1997). Reviewer: Alexander Kachurovskij (St.Peterburg) MSC: 37C10 PDFBibTeX XMLCite \textit{T. Lyons} and \textit{Z. Qian}, J. Funct. Anal. 149, No. 1, 135--159 (1997; Zbl 0890.58090) Full Text: DOI
Lyons, T. J.; Qian, Z. M. A class of vector fields on path spaces. (English) Zbl 0877.58059 J. Funct. Anal. 145, No. 1, 205-223 (1997). Reviewer: S.Eloshvili (Tbilisi) MSC: 58J65 58J60 PDFBibTeX XMLCite \textit{T. J. Lyons} and \textit{Z. M. Qian}, J. Funct. Anal. 145, No. 1, 205--223 (1997; Zbl 0877.58059) Full Text: DOI
Qian, Zhongmin; Wei, Guoqiang Aronson’s estimates and conditional diffusion processes. (English) Zbl 0811.58066 Acta Math. Appl. Sin., Engl. Ser. 10, No. 2, 148-157 (1994). Reviewer: S.Eloshvili (Tbilisi) MSC: 58J65 60J65 PDFBibTeX XMLCite \textit{Z. Qian} and \textit{G. Wei}, Acta Math. Appl. Sin., Engl. Ser. 10, No. 2, 148--157 (1994; Zbl 0811.58066) Full Text: DOI