Cao, Shiping; Chen, Zhen-Qing Convergence of resistances on generalized {S}ierpiński carpets. arXiv:2402.01949 Preprint, arXiv:2402.01949 [math.PR] (2024). MSC: 31E05 60F17 60J46 BibTeX Cite \textit{S. Cao} and \textit{Z.-Q. Chen}, ``Convergence of resistances on generalized {S}ierpi\'{n}ski carpets'', Preprint, arXiv:2402.01949 [math.PR] (2024) Full Text: arXiv OA License
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi; Wang, Jian Two-sided heat kernel estimates for symmetric diffusion processes with jumps: recent results. (English) Zbl 1497.60110 Chen, Zhen-Qing (ed.) et al., Dirichlet forms and related topics, in honor of Masatoshi Fukushima’s beiju, IWDFRT 2022, Osaka, Japan, August 22–26,2022. Singapore: Springer. Springer Proc. Math. Stat. 394, 63-83 (2022). MSC: 60J60 60J35 60J76 31C25 60J45 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Springer Proc. Math. Stat. 394, 63--83 (2022; Zbl 1497.60110) Full Text: DOI
Chen, Zhen-Qing On strongly continuous Markovian semigroups. (English) Zbl 07605704 Chen, Zhen-Qing (ed.) et al., Dirichlet forms and related topics, in honor of Masatoshi Fukushima’s beiju, IWDFRT 2022, Osaka, Japan, August 22–26,2022. Singapore: Springer. Springer Proc. Math. Stat. 394, 57-61 (2022). MSC: 47D60 60J46 31C25 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, Springer Proc. Math. Stat. 394, 57--61 (2022; Zbl 07605704) Full Text: DOI
Chen, Zhen-Qing (ed.); Takeda, Masayoshi (ed.); Uemura, Toshihiro (ed.) Dirichlet forms and related topics, in honor of Masatoshi Fukushima’s beiju, IWDFRT 2022, Osaka, Japan, August 22–26,2022. (English) Zbl 1493.11005 Springer Proceedings in Mathematics & Statistics 394. Singapore: Springer (ISBN 978-981-19-4671-4/hbk; 978-981-19-4674-5/pbk; 978-981-19-4672-1/ebook). xxi, 572 p. (2022). MSC: 60-06 60J46 60J80 60J67 60Hxx 00B25 00B30 PDFBibTeX XMLCite \textit{Z.-Q. Chen} (ed.) et al., Dirichlet forms and related topics, in honor of Masatoshi Fukushima's beiju, IWDFRT 2022, Osaka, Japan, August 22--26,2022. Singapore: Springer (2022; Zbl 1493.11005) Full Text: DOI
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian Stability of heat kernel estimates and parabolic Harnack inequalities for general symmetric pure jump processes. (English) Zbl 1479.60158 Grigor’yan, Alexander (ed.) et al., Analysis and partial differential equations on manifolds, fractals and graphs. Contributions of the conference, Tianjin, China, September 2019. Berlin: De Gruyter. Adv. Anal. Geom. 3, 3-25 (2021). Reviewer: Weiping Li (Guanghan) MSC: 60J35 35K08 60J76 31C25 60J25 60J45 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Adv. Anal. Geom. 3, 3--25 (2021; Zbl 1479.60158) 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, 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, Zhen-Qing; Kim, Panki; Kumagai, Takashi; Wang, Jian Heat kernel upper bounds for symmetric Markov semigroups. (English) Zbl 1480.60220 J. Funct. Anal. 281, No. 4, Article ID 109074, 40 p. (2021). Reviewer: Ze-Chun Hu (Chengdu) MSC: 60J35 35K08 31C25 39B62 47D07 60J25 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., J. Funct. Anal. 281, No. 4, Article ID 109074, 40 p. (2021; Zbl 1480.60220) Full Text: DOI arXiv
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, 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, Zhen-Qing; Kim, Panki; Kumagai, Takashi; Wang, Jian Heat kernel estimates for time fractional equations. (English) Zbl 1401.60088 Forum Math. 30, No. 5, 1163-1192 (2018). MSC: 60G52 60J25 60J55 60J35 60J75 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Forum Math. 30, No. 5, 1163--1192 (2018; Zbl 1401.60088) Full Text: DOI arXiv
Chen, Zhen-Qing; Peng, Jun Markov processes with darning and their approximations. (English) Zbl 1405.60115 Stochastic Processes Appl. 128, No. 9, 3030-3053 (2018). MSC: 60J25 31C25 60F99 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{J. Peng}, Stochastic Processes Appl. 128, No. 9, 3030--3053 (2018; Zbl 1405.60115) Full Text: DOI arXiv
Chen, Zhen-Qing; Fan, Wai-Tong (Louis) Systems of interacting diffusions with partial annihilation through membranes. (English) Zbl 1361.60088 Ann. Probab. 45, No. 1, 100-146 (2017). Reviewer: Weiping Li (Stillwater) MSC: 60K35 60J60 60F15 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{W.-T. Fan}, Ann. Probab. 45, No. 1, 100--146 (2017; Zbl 1361.60088) Full Text: DOI arXiv Euclid
Chen, Zhen-Qing; Croydon, David A.; Kumagai, Takashi Quenched invariance principles for random walks and elliptic diffusions in random media with boundary. (English) Zbl 1338.60098 Ann. Probab. 43, No. 4, 1594-1642 (2015). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60F17 60K37 60G50 60K35 60J60 60J65 31C25 35K08 82C41 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Ann. Probab. 43, No. 4, 1594--1642 (2015; Zbl 1338.60098) 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
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, Panki; Kumagai, Takashi Discrete approximation of symmetric jump processes on metric measure spaces. (English) Zbl 1274.60238 Probab. Theory Relat. Fields 155, No. 3-4, 703-749 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60J25 60B10 60J75 60G52 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Probab. Theory Relat. Fields 155, No. 3--4, 703--749 (2013; Zbl 1274.60238) Full Text: DOI arXiv
Chen, Zhen-Qing Uniform integrability of exponential martingales and spectral bounds of non-local Feynman-Kac semigroups. (English) Zbl 1282.60075 Zhang, Tusheng (ed.) et al., Stochastic analysis and applications to finance. Essays in honour of Jia-an Yan on the occasion of his 70th years birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4383-57-8/hbk). Interdisciplinary Mathematical Sciences 13, 55-75 (2012). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 60J57 60J25 31C25 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, Interdiscip. Math. Sci. 13, 55--75 (2012; Zbl 1282.60075) Full Text: arXiv
Chen, Zhen-Qing; Kuwae, Kazuhiro On subharmonicity for symmetric Markov processes. (English) Zbl 1263.60073 J. Math. Soc. Japan 64, No. 4, 1181-1209 (2012). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 31C05 31C25 60J25 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{K. Kuwae}, J. Math. Soc. Japan 64, No. 4, 1181--1209 (2012; Zbl 1263.60073) Full Text: DOI arXiv Euclid
Chen, Zhen-Qing \(L^p\)-independence of spectral bounds of generalized non-local Feynman-Kac semigroups. (English) Zbl 1263.47053 J. Funct. Anal. 262, No. 9, 4120-4139 (2012). Reviewer: Martin Grothaus (Kaiserslautern) MSC: 47D08 60J45 60J57 60J25 31C25 60J55 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, J. Funct. Anal. 262, No. 9, 4120--4139 (2012; Zbl 1263.47053) Full Text: DOI arXiv
Chen, Zhen-Qing; Fukushima, Masatoshi A localization formula in Dirichlet form theory. (English) Zbl 1245.60070 Proc. Am. Math. Soc. 140, No. 5, 1815-1822 (2012). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60J25 31C25 60J45 60J50 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{M. Fukushima}, Proc. Am. Math. Soc. 140, No. 5, 1815--1822 (2012; Zbl 1245.60070) Full Text: DOI
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi Global heat kernel estimates for symmetric jump processes. (English) Zbl 1234.60088 Trans. Am. Math. Soc. 363, No. 9, 5021-5055 (2011); corrigendum ibid. 367, No. 10, 7515 (2015). Reviewer: Zoran Vondraček (Zagreb) MSC: 60J75 31B05 31C25 60J35 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Trans. Am. Math. Soc. 363, No. 9, 5021--5055 (2011; Zbl 1234.60088) Full Text: DOI
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, Zhen-Qing On notions of harmonicity. (English) Zbl 1181.60118 Proc. Am. Math. Soc. 137, No. 10, 3497-3510 (2009). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 31C05 31C25 60J25 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, Proc. Am. Math. Soc. 137, No. 10, 3497--3510 (2009; Zbl 1181.60118) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces. (English) Zbl 1171.60373 Acta Math. Sin., Engl. Ser. 25, No. 7, 1067-1086 (2009). MSC: 60J75 60J35 31C25 31C05 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Acta Math. Sin., Engl. Ser. 25, No. 7, 1067--1086 (2009; Zbl 1171.60373) Full Text: DOI
Chen, Zhen-Qing; Zhang, Tusheng Time-reversal and elliptic boundary value problems. (English) Zbl 1187.60064 Ann. Probab. 37, No. 3, 1008-1043 (2009). Reviewer: Bo Markussen (Kopenhagen) MSC: 60J70 60G46 60H05 60H10 60J55 60J57 31C25 35J25 35R05 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{T. Zhang}, Ann. Probab. 37, No. 3, 1008--1043 (2009; Zbl 1187.60064) Full Text: DOI arXiv
Chen, Zhen-Qing; Ren, Yan-Xia; Wang, Hao An almost sure scaling limit theorem for Dawson-Watanabe superprocesses. (English) Zbl 1138.60054 J. Funct. Anal. 254, No. 7, 1988-2019 (2008). MSC: 60J80 60J60 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., J. Funct. Anal. 254, No. 7, 1988--2019 (2008; Zbl 1138.60054) Full Text: DOI
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
Chen, Zhen-Qing; Shiozawa, Yuichi Limit theorems for branching Markov processes. (English) Zbl 1125.60087 J. Funct. Anal. 250, No. 2, 374-399 (2007). MSC: 60J80 60J45 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{Y. Shiozawa}, J. Funct. Anal. 250, No. 2, 374--399 (2007; Zbl 1125.60087) Full Text: DOI
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, 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, Z.-Q.; Fitzsimmons, P. J.; Song, R. Crossing estimates for symmetric Markov processes. (English) Zbl 0994.31004 Probab. Theory Relat. Fields 120, No. 1, 68-84 (2001). Reviewer: Zoran Vondraček (Zagreb) MSC: 31C25 60J45 PDFBibTeX XMLCite \textit{Z. Q. Chen} et al., Probab. Theory Relat. Fields 120, No. 1, 68--84 (2001; Zbl 0994.31004) Full Text: DOI
Chen, Zhen-Qing; Ma, Zhi-Ming; Röckner, Michael Quasi-homeomorphisms of Dirichlet forms. (English) Zbl 0811.31002 Nagoya Math. J. 136, 1-15 (1994). Reviewer: M.Röckner (Bonn) MSC: 31C15 60J45 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Nagoya Math. J. 136, 1--15 (1994; Zbl 0811.31002) Full Text: DOI