Chen, Xin; Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian Periodic homogenization of nonsymmetric Lévy-type processes. (English) Zbl 1486.60061 Ann. Probab. 49, No. 6, 2874-2921 (2021). Reviewer: Dongsheng Tu (Kingston) MSC: 60F17 60G51 60J25 PDFBibTeX XMLCite \textit{X. Chen} et al., Ann. Probab. 49, No. 6, 2874--2921 (2021; Zbl 1486.60061) Full Text: DOI arXiv
Chen, Zhen-Qing; Zhang, Xicheng; Zhao, Guohuan Supercritical SDEs driven by multiplicative stable-like Lévy processes. (English) Zbl 1511.60081 Trans. Am. Math. Soc. 374, No. 11, 7621-7655 (2021). MSC: 60H10 35R09 60G51 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Trans. Am. Math. Soc. 374, No. 11, 7621--7655 (2021; Zbl 1511.60081) Full Text: DOI
Chen, Xin; Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian Homogenization of symmetric stable-like processes in stationary ergodic media. (English) Zbl 1481.60089 SIAM J. Math. Anal. 53, No. 3, 2957-3001 (2021). MSC: 60G51 60G52 60J25 60J76 PDFBibTeX XMLCite \textit{X. Chen} et al., SIAM J. Math. Anal. 53, No. 3, 2957--3001 (2021; Zbl 1481.60089) Full Text: DOI arXiv
Chen, Xiaoshan; Chen, Zhen-Qing; Tran, Ky; Yin, George Recurrence and ergodicity for A class of regime-switching jump diffusions. (English) Zbl 1439.60072 Appl. Math. Optim. 80, No. 2, 415-445 (2019). MSC: 60J60 60J76 60G51 PDFBibTeX XMLCite \textit{X. Chen} et al., Appl. Math. Optim. 80, No. 2, 415--445 (2019; Zbl 1439.60072) Full Text: DOI arXiv
Chen, Zhen-Qing; Zhang, Xicheng Heat kernels for non-symmetric non-local operators. (English) Zbl 1404.35221 Palatucci, Giampiero (ed.) et al., Recent developments in nonlocal theory. Berlin: De Gruyter Open (ISBN 978-3-11-057155-4/hbk; 978-3-11-057156-1/ebook). 24-51 (2018). MSC: 35K08 60G51 60H15 60J60 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{X. Zhang}, in: Recent developments in nonlocal theory. Berlin: De Gruyter Open. 24--51 (2018; Zbl 1404.35221) Full Text: DOI arXiv
Chen, Zhen-Qing; Zhang, Xicheng; Zhao, Guohuan Well-posedness of supercritical SDE driven by Lévy processes with irregular drifts. arXiv:1709.04632 Preprint, arXiv:1709.04632 [math.PR] (2017). MSC: 60H10 35R09 60G51 BibTeX Cite \textit{Z.-Q. Chen} et al., ``Well-posedness of supercritical SDE driven by L\'evy processes with irregular drifts'', Preprint, arXiv:1709.04632 [math.PR] (2017) Full Text: arXiv OA License
Chen, Zhen-Qing; Kim, Panki Global Dirichlet heat kernel estimates for symmetric Lévy processes in half-space. (English) Zbl 1361.60031 Acta Appl. Math. 146, No. 1, 113-143 (2016). MSC: 60G51 60J35 60J75 47G20 47D07 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{P. Kim}, Acta Appl. Math. 146, No. 1, 113--143 (2016; Zbl 1361.60031) Full Text: DOI arXiv
Chen, Zhen-Qing; Zhang, Xicheng Heat kernels and analyticity of non-symmetric jump diffusion semigroups. (English) Zbl 1345.60086 Probab. Theory Relat. Fields 165, No. 1-2, 267-312 (2016). MSC: 60J60 60J75 60J35 47D07 60H10 60G51 60G52 47G20 26A33 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{X. Zhang}, Probab. Theory Relat. Fields 165, No. 1--2, 267--312 (2016; Zbl 1345.60086) Full Text: DOI arXiv
Chen, Zhen-Qing; Dou, XiaoMan Drift perturbation of subordinate Brownian motions with Gaussian component. (English) Zbl 1337.60202 Sci. China, Math. 59, No. 2, 239-260 (2016). MSC: 60J65 60G51 60H10 60J35 60J45 35K08 47G20 47D07 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{X. Dou}, Sci. China, Math. 59, No. 2, 239--260 (2016; Zbl 1337.60202) Full Text: DOI
Chen, Zhen-Qing; Hu, Eryan Heat kernel estimates for \(\varDelta + \varDelta^{\alpha / 2}\) under gradient perturbation. (English) Zbl 1329.60228 Stochastic Processes Appl. 125, No. 7, 2603-2642 (2015). MSC: 60H30 60J35 60H10 35K08 60G51 47G20 47D07 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{E. Hu}, Stochastic Processes Appl. 125, No. 7, 2603--2642 (2015; Zbl 1329.60228) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming Green function estimates for relativistic stable processes in half-space-like open sets. (English) Zbl 1235.60100 Stochastic Processes Appl. 121, No. 5, 1148-1172 (2011). Reviewer: Victoria Knopova (Kiev) MSC: 60J35 47G20 60J75 47D07 60G51 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Stochastic Processes Appl. 121, No. 5, 1148--1172 (2011; Zbl 1235.60100) Full Text: DOI
Chen, Zhenqing; Song, Renming Spectral properties of subordinate processes in domains. (English) Zbl 1124.60059 Chen, Gui-Qiang (ed.) et al., Stochastic analysis and partial differential equations. Emphasis year 2004–2005 on stochastic analysis and partial differential equations, Evanston, IL, USA. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4059-7/pbk). Contemporary Mathematics 429, 77-84 (2007). MSC: 60J35 35P99 35P15 60G51 47A10 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{R. Song}, Contemp. Math. 429, 77--84 (2007; Zbl 1124.60059)
Chen, Zhen-Qing; Song, Renming Continuity of eigenvalues of subordinate processes in domains. (English) Zbl 1090.60070 Math. Z. 252, No. 1, 71-89 (2006). Reviewer: Ion Cuculescu (Bucureşti) MSC: 60J45 60J25 31C25 60G51 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{R. Song}, Math. Z. 252, No. 1, 71--89 (2006; Zbl 1090.60070) Full Text: DOI
Chen, Zhen-Qing; Song, Renming Two-sided eigenvalue estimates for subordinate processes in domains. (English) Zbl 1081.60056 J. Funct. Anal. 226, No. 1, 90-113 (2005). Reviewer: Yoichi Oshima (Kumamoto) MSC: 60J45 60G51 60J65 31C25 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{R. Song}, J. Funct. Anal. 226, No. 1, 90--113 (2005; Zbl 1081.60056) Full Text: DOI