Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi; Wang, Jian Heat kernels for reflected diffusions with jumps on inner uniform domains. (English) Zbl 1498.60321 Trans. Am. Math. Soc. 375, No. 10, 6797-6841 (2022). MSC: 60J35 60J76 31C25 35K08 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Trans. Am. Math. Soc. 375, No. 10, 6797--6841 (2022; Zbl 1498.60321) 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, Zhen-Qing; Kumagai, Takashi; Wang, Jian Stability of heat kernel estimates for symmetric non-local Dirichlet forms. (English) Zbl 1498.60007 Memoirs of the American Mathematical Society 1330. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4863-9/pbk; 978-1-4704-6638-1/ebook). v, 89 p. (2021). MSC: 60-02 60J35 35K08 60J76 31C25 60J25 60J45 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Stability of heat kernel estimates for symmetric non-local Dirichlet forms. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1498.60007) Full Text: DOI arXiv
Chen, Zhen-Qing; Hao, Zimo; Zhang, Xicheng Hölder regularity and gradient estimates for SDEs driven by cylindrical \(\alpha \)-stable processes. (English) Zbl 1477.60085 Electron. J. Probab. 25, Paper No. 137, 23 p. (2020). MSC: 60H10 60G52 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Electron. J. Probab. 25, Paper No. 137, 23 p. (2020; Zbl 1477.60085) Full Text: DOI arXiv Euclid
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms. (English) Zbl 1455.35004 J. Eur. Math. Soc. (JEMS) 22, No. 11, 3747-3803 (2020). Reviewer: Vincenzo Vespri (Firenze) MSC: 35A23 35B51 35B35 35B65 60J76 28A80 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., J. Eur. Math. Soc. (JEMS) 22, No. 11, 3747--3803 (2020; Zbl 1455.35004) Full Text: DOI arXiv Backlinks: MO
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms. (English) Zbl 1471.60118 Adv. Math. 374, Article ID 107269, 71 p. (2020). MSC: 60J35 35K08 60J60 60J76 31C25 60J25 60J45 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Adv. Math. 374, Article ID 107269, 71 p. (2020; Zbl 1471.60118) Full Text: DOI arXiv
Chen, Xin; Chen, Zhen-Qing; Wang, Jian Heat kernel for non-local operators with variable order. (English) Zbl 1462.60106 Stochastic Processes Appl. 130, No. 6, 3574-3647 (2020). MSC: 60J76 60G53 60J25 60J35 PDFBibTeX XMLCite \textit{X. Chen} et al., Stochastic Processes Appl. 130, No. 6, 3574--3647 (2020; Zbl 1462.60106) 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; Kim, Daehong; Kuwae, Kazuhiro \(L^p\)-independence of spectral radius for generalized Feynman-Kac semigroups. (English) Zbl 1423.31004 Math. Ann. 374, No. 1-2, 601-652 (2019). Reviewer: René L. Schilling (Dresden) MSC: 31C25 35J10 60J45 60J57 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Math. Ann. 374, No. 1--2, 601--652 (2019; Zbl 1423.31004) Full Text: DOI
Chen, Xiaoshan; Chen, Zhen-Qing; Tran, Ky; Yin, George Properties of switching jump diffusions: maximum principles and Harnack inequalities. (English) Zbl 1440.60075 Bernoulli 25, No. 2, 1045-1075 (2019). Reviewer: Nicolas Privault (Singapore) MSC: 60J60 60J76 PDFBibTeX XMLCite \textit{X. Chen} et al., Bernoulli 25, No. 2, 1045--1075 (2019; Zbl 1440.60075) Full Text: DOI arXiv Euclid
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian Elliptic Harnack inequalities for symmetric non-local Dirichlet forms. (English. French summary) Zbl 1415.35069 J. Math. Pures Appl. (9) 125, 1-42 (2019). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B51 35B65 28A80 60J75 35B20 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., J. Math. Pures Appl. (9) 125, 1--42 (2019; Zbl 1415.35069) Full Text: DOI arXiv Link
Chen, Zhen-Qing; Lou, Shuwen Brownian motion on some spaces with varying dimension. (English) Zbl 1466.60165 Ann. Probab. 47, No. 1, 213-269 (2019). MSC: 60J65 60J35 31C25 60H30 60J45 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{S. Lou}, Ann. Probab. 47, No. 1, 213--269 (2019; Zbl 1466.60165) Full Text: DOI arXiv Euclid
Chen, Zhen-Qing; Song, Renming; Zhang, Xicheng Stochastic flows for Lévy processes with Hölder drifts. (English) Zbl 1420.60064 Rev. Mat. Iberoam. 34, No. 4, 1755-1788 (2018). MSC: 60H10 35K05 60H30 47G20 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Rev. Mat. Iberoam. 34, No. 4, 1755--1788 (2018; Zbl 1420.60064) Full Text: DOI arXiv
Chen, Zhen-Qing; Fukushima, Masatoshi Reflections at infinity of time changed RBMs on a domain with Liouville branches. (English) Zbl 1395.60093 J. Math. Soc. Japan 70, No. 2, 833-852 (2018). Reviewer: René L. Schilling (Dresden) MSC: 60J50 60J65 31C25 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{M. Fukushima}, J. Math. Soc. Japan 70, No. 2, 833--852 (2018; Zbl 1395.60093) Full Text: DOI arXiv Euclid
Chen, Zhen-Qing; Wang, Jie-Ming Perturbation by non-local operators. (English. French summary) Zbl 1391.60190 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 2, 606-639 (2018); erratum ibid. 54, No. 2, 606–639 (2018). MSC: 60J35 47G20 60J76 47D07 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{J.-M. Wang}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 2, 606--639 (2018; Zbl 1391.60190) Full Text: DOI arXiv Euclid
Chen, Zhen-Qing; Fukushima, Masatoshi One-point reflection. (English) Zbl 1327.60151 Stochastic Processes Appl. 125, No. 4, 1368-1393 (2015). MSC: 60J50 60J25 60J65 60J60 60J45 60J55 31C25 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{M. Fukushima}, Stochastic Processes Appl. 125, No. 4, 1368--1393 (2015; Zbl 1327.60151) Full Text: DOI
Chen, Zhen-Qing; Zhang, Xicheng Hölder estimates for nonlocal-diffusion equations with drifts. (English) Zbl 1310.60103 Commun. Math. Stat. 2, No. 3-4, 331-348 (2014). MSC: 60H30 35K57 35K05 60J45 47G20 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{X. Zhang}, Commun. Math. Stat. 2, No. 3--4, 331--348 (2014; Zbl 1310.60103) Full Text: DOI arXiv
Burdzy, Krzysztof; Chen, Zhen-Qing Reflecting random walk in fractal domains. (English) Zbl 1286.60035 Ann. Probab. 41, No. 4, 2791-2819 (2013). Reviewer: Serguey Victorovich Zhulenev (Moskva) MSC: 60F17 60J60 60J10 31C25 46E35 PDFBibTeX XMLCite \textit{K. Burdzy} and \textit{Z.-Q. Chen}, Ann. Probab. 41, No. 4, 2791--2819 (2013; Zbl 1286.60035) Full Text: DOI arXiv Euclid
Chen, Zhen-Qing; Kim, KyeongHun An \(L _{2}\)-theory for a class of SPDEs driven by Lévy processes. (English) Zbl 1274.60197 Sci. China, Math. 55, No. 11, 2233-2246 (2012). Reviewer: Dora Seleši (Novi Sad) MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{K. Kim}, Sci. China, Math. 55, No. 11, 2233--2246 (2012; Zbl 1274.60197) Full Text: DOI arXiv
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S. On general perturbations of symmetric Markov processes. (English) Zbl 1176.60070 J. Math. Pures Appl. (9) 92, No. 4, 363-374 (2009). MSC: 60J57 31C25 60J55 60J45 PDFBibTeX XMLCite \textit{Z. Q. Chen} et al., J. Math. Pures Appl. (9) 92, No. 4, 363--374 (2009; Zbl 1176.60070) Full Text: DOI
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S. Stochastic calculus for symmetric Markov processes. (English) Zbl 1142.31005 Ann. Probab. 36, No. 3, 931-970 (2008). Reviewer: Marco Biroli (Milano) MSC: 31C25 60J57 60J55 60H05 PDFBibTeX XMLCite \textit{Z. Q. Chen} et al., Ann. Probab. 36, No. 3, 931--970 (2008; Zbl 1142.31005) Full Text: DOI arXiv
Burdzy, Krzysztof; Chen, Zhen-Qing Discrete approximations to reflected Brownian motion. (English) Zbl 1141.60014 Ann. Probab. 36, No. 2, 698-727 (2008). Reviewer: Serguey Victorovich Zhulenev (Moskva) MSC: 60F17 60J60 60J10 31C25 PDFBibTeX XMLCite \textit{K. Burdzy} and \textit{Z.-Q. Chen}, Ann. Probab. 36, No. 2, 698--727 (2008; Zbl 1141.60014) Full Text: DOI arXiv
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing Pathwise uniqueness for a degenerate stochastic differential equation. (English) Zbl 1139.60027 Ann. Probab. 35, No. 6, 2385-2418 (2007). Reviewer: Maria Stolarczyk (Katowice) MSC: 60H10 60J60 PDFBibTeX XMLCite \textit{R. F. Bass} et al., Ann. Probab. 35, No. 6, 2385--2418 (2007; Zbl 1139.60027) Full Text: DOI arXiv Euclid
Bass, Richard F.; Chen, Zhen-Qing Systems of equations driven by stable processes. (English) Zbl 1085.60035 Probab. Theory Relat. Fields 134, No. 2, 175-214 (2006). Reviewer: George Stoica (Saint John) MSC: 60H10 60G52 60J75 42B20 35S05 PDFBibTeX XMLCite \textit{R. F. Bass} and \textit{Z.-Q. Chen}, Probab. Theory Relat. Fields 134, No. 2, 175--214 (2006; Zbl 1085.60035) Full Text: DOI
Burdzy, Krzysztof; Chen, Zhen-Qing; Marshall, Donald E. Traps for reflected Brownian motion. (English) Zbl 1085.60054 Math. Z. 252, No. 1, 103-132 (2006). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 35P05 60G17 PDFBibTeX XMLCite \textit{K. Burdzy} et al., Math. Z. 252, No. 1, 103--132 (2006; Zbl 1085.60054) Full Text: DOI
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing Stochastic differential equations driven by stable processes for which pathwise uniqueness fails. (English) Zbl 1111.60038 Stochastic Processes Appl. 111, No. 1, 1-15 (2004). Reviewer: Carlos A. Braumann (Évora) MSC: 60H10 60G52 PDFBibTeX XMLCite \textit{R. F. Bass} et al., Stochastic Processes Appl. 111, No. 1, 1--15 (2004; Zbl 1111.60038) Full Text: DOI Link
Burdzy, Krzysztof; Chen, Zhen-Qing; Sylvester, John The heat equation and reflected Brownian motion in time-dependent domains. (English) Zbl 1046.60060 Ann. Probab. 32, No. 1B, 775-804 (2004). Reviewer: Feng-Yu Wang (Beijing) MSC: 60H30 35K05 35K20 PDFBibTeX XMLCite \textit{K. Burdzy} et al., Ann. Probab. 32, No. 1B, 775--804 (2004; Zbl 1046.60060) Full Text: DOI
Chen, Z.-Q.; Fitzsimmons, P. J.; Takeda, M.; Ying, J.; Zhang, T.-S. Absolute continuity of symmetric Markov processes. (English) Zbl 1053.60084 Ann. Probab. 32, No. 3A, 2067-2098 (2004). Reviewer: Yoichi Oshima (Kumamoto) MSC: 60J45 31C25 60J57 60J75 PDFBibTeX XMLCite \textit{Z. Q. Chen} et al., Ann. Probab. 32, No. 3A, 2067--2098 (2004; Zbl 1053.60084) Full Text: DOI arXiv
Chen, Zhen-Qing Analytic characterization of conditional gaugeability for non-local Feynman-Kac transforms. (English) Zbl 1023.60065 J. Funct. Anal. 202, No. 1, 226-246 (2003). Reviewer: Guy Jumarie (Montréal) MSC: 60J45 35J10 60J35 60J57 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, J. Funct. Anal. 202, No. 1, 226--246 (2003; Zbl 1023.60065) Full Text: DOI
Chen, Zhen-Qing Gaugeability and conditional gaugeability. (English) Zbl 1006.60072 Trans. Am. Math. Soc. 354, No. 11, 4639-4679 (2002). MSC: 60J45 60J57 35J10 35S05 47J20 60J35 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, Trans. Am. Math. Soc. 354, No. 11, 4639--4679 (2002; Zbl 1006.60072) Full Text: DOI
Burdzy, Krzysztof; Chen, Zhen-Qing Local time flow related to skew Brownian motion. (English) Zbl 1037.60057 Ann. Probab. 29, No. 4, 1693-1715 (2001). Reviewer: Jacek Jakubowski (Warszawa) MSC: 60H10 60J65 PDFBibTeX XMLCite \textit{K. Burdzy} and \textit{Z.-Q. Chen}, Ann. Probab. 29, No. 4, 1693--1715 (2001; Zbl 1037.60057) Full Text: DOI
Chen, Z. Q.; Fitzsimmons, P. J.; Williams, R. J. Reflection Brownian motions: Quasimartingales and strong Caccioppoli sets. (English) Zbl 0812.60065 Potential Anal. 2, No. 3, 219-243 (1993). Reviewer: X.L.Nguyen (Hanoi) MSC: 60J65 31C25 49Q15 60J60 60J55 PDFBibTeX XMLCite \textit{Z. Q. Chen} et al., Potential Anal. 2, No. 3, 219--243 (1993; Zbl 0812.60065) Full Text: DOI
Chen, Zhen-Qing On reflecting diffusion processes and Skorokhod decompositions. (English) Zbl 0767.60074 Probab. Theory Relat. Fields 94, No. 3, 281-315 (1993). MSC: 60J60 60J65 60J55 60J35 31C25 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, Probab. Theory Relat. Fields 94, No. 3, 281--315 (1993; Zbl 0767.60074) Full Text: DOI
Chen, Zhen-Qing Pseudo Jordan domains and reflecting Brownian motions. (English) Zbl 0767.60079 Probab. Theory Relat. Fields 94, No. 2, 271-280 (1992). MSC: 60J65 31C25 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, Probab. Theory Relat. Fields 94, No. 2, 271--280 (1992; Zbl 0767.60079) Full Text: DOI
Chen, Zhen-Qing On reflected Dirichlet spaces. (English) Zbl 0767.60073 Probab. Theory Relat. Fields 94, No. 2, 135-162 (1992). MSC: 60J60 60G44 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, Probab. Theory Relat. Fields 94, No. 2, 135--162 (1992; Zbl 0767.60073) Full Text: DOI
Chen, Zhen Qing Stochastic analysis on extended sample space and a tightness result. (English) Zbl 0719.60076 Probab. Theory Relat. Fields 86, No. 4, 517-549 (1990). MSC: 60J45 60H05 60G17 PDFBibTeX XMLCite \textit{Z. Q. Chen}, Probab. Theory Relat. Fields 86, No. 4, 517--549 (1990; Zbl 0719.60076) Full Text: DOI