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; 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, 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, 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; 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; Zhang, Xicheng Strong stability of heat kernels of non-symmetric stable-like operators. (English) Zbl 1409.60115 Baudoin, Fabrice (ed.) et al., Stochastic analysis and related topics. A festschrift in honor of Rodrigo Bañuelos, Purdue University, West Lafayette, IN, USA, May 20–22, 2015. Cham: Birkhäuser. Prog. Probab. 72, 57-65 (2017). MSC: 60J35 47G20 60J75 47D07 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{X. Zhang}, Prog. Probab. 72, 57--65 (2017; Zbl 1409.60115) Full Text: DOI
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; Wang, Longmin Uniqueness of stable processes with drift. (English) Zbl 1335.60085 Proc. Am. Math. Soc. 144, No. 6, 2661-2675 (2016). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H10 60G52 60G44 47G20 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{L. Wang}, Proc. Am. Math. Soc. 144, No. 6, 2661--2675 (2016; Zbl 1335.60085) Full Text: DOI arXiv
Chen, Zhen-Qing; Zhang, Xicheng Uniqueness of stable-like processes. arXiv:1604.02681 Preprint, arXiv:1604.02681 [math.PR] (2016). MSC: 60H10 60G52 BibTeX Cite \textit{Z.-Q. Chen} and \textit{X. Zhang}, ``Uniqueness of stable-like processes'', Preprint, arXiv:1604.02681 [math.PR] (2016) Full Text: arXiv OA License
Chen, Zhen-Qing; Kim, Panki; Song, Renming Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation. (English) Zbl 1321.60149 Trans. Am. Math. Soc. 367, No. 7, 5237-5270 (2015). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60J35 60G52 47D08 47D07 60J75 47G20 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Trans. Am. Math. Soc. 367, No. 7, 5237--5270 (2015; Zbl 1321.60149) Full Text: DOI arXiv
Chen, Zhen-Qing; Wang, Jian Ergodicity for time-changed symmetric stable processes. (English) Zbl 1328.60191 Stochastic Processes Appl. 124, No. 9, 2799-2823 (2014). MSC: 60J75 60G52 60J25 60J27 60H10 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{J. Wang}, Stochastic Processes Appl. 124, No. 9, 2799--2823 (2014; Zbl 1328.60191) Full Text: DOI arXiv
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; Kim, Panki; Song, Renming Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation. (English) Zbl 1264.60060 Ann. Probab. 40, No. 6, 2483-2538 (2012). Reviewer: Zoran Vondraček (Zagreb) MSC: 60J35 47D07 47G20 60J75 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Ann. Probab. 40, No. 6, 2483--2538 (2012; Zbl 1264.60060) Full Text: DOI arXiv Euclid
Chen, Zhen-Qing; Wang, Hao; Xiong, Jie Interacting superprocesses with discontinuous spatial motion. (English) Zbl 1255.60149 Forum Math. 24, No. 6, 1183-1223 (2012). MSC: 60J68 60K37 60G52 60J80 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Forum Math. 24, No. 6, 1183--1223 (2012; Zbl 1255.60149) Full Text: DOI
Chen, Zhen-Qing; Kim, Panki; Song, Renming Global heat kernel estimate for relativistic stable processes in exterior open sets. (English) Zbl 1255.60076 J. Funct. Anal. 263, No. 2, 448-475 (2012). Reviewer: Liliana Popa (Iaşi) MSC: 60G52 60J35 31C15 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., J. Funct. Anal. 263, No. 2, 448--475 (2012; Zbl 1255.60076) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming Global heat kernel estimates for \(\Delta+\Delta^{\alpha/2}\) in half-space-like domains. (English) Zbl 1247.60115 Electron. J. Probab. 17, Paper No. 32, 32 p. (2012). MSC: 60J35 47G20 60J75 47D07 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Electron. J. Probab. 17, Paper No. 32, 32 p. (2012; Zbl 1247.60115) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming Sharp heat kernel estimates for relativistic stable processes in open sets. (English) Zbl 1235.60101 Ann. Probab. 40, No. 1, 213-244 (2012). MSC: 60J35 47G20 60J75 47D07 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Ann. Probab. 40, No. 1, 213--244 (2012; Zbl 1235.60101) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming Global heat kernel estimates for relativistic stable processes in half-space-like open sets. (English) Zbl 1239.60076 Potential Anal. 36, No. 2, 235-261 (2012). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60J35 47G30 60J75 60G52 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Potential Anal. 36, No. 2, 235--261 (2012; Zbl 1239.60076) Full Text: DOI
Chen, Zhen-Qing; Tokle, Joshua Global heat kernel estimates for fractional Laplacians in unbounded open sets. (English) Zbl 1231.60078 Probab. Theory Relat. Fields 149, No. 3-4, 373-395 (2011). Reviewer: Liliana Popa (Iaşi) MSC: 60J35 47G20 60J75 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{J. Tokle}, Probab. Theory Relat. Fields 149, No. 3--4, 373--395 (2011; Zbl 1231.60078) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming Heat kernel estimates for \(\Delta +\Delta ^{\alpha /2}\) in \(C^{1, 1}\) open sets. (English) Zbl 1229.60089 J. Lond. Math. Soc., II. Ser. 84, No. 1, 58-80 (2011). Reviewer: Alexander Schnurr (Dortmund) MSC: 60J35 47G20 47D07 60J75 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., J. Lond. Math. Soc., II. Ser. 84, No. 1, 58--80 (2011; Zbl 1229.60089) 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, Zhen-Qing; Kim, Panki; Song, Renming Dirichlet heat kernel estimates for \(\Delta ^{\alpha /2} + \delta ^{\beta /2}\). (English) Zbl 1268.60101 Ill. J. Math. 54, No. 4, 1357-1392 (2010). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J35 47G20 60J75 47D07 60G52 47G30 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Ill. J. Math. 54, No. 4, 1357--1392 (2010; Zbl 1268.60101) Full Text: arXiv Euclid
Bass, Richard F.; Chen, Zhen-Qing Regularity of harmonic functions for a class of singular stable-like processes. (English) Zbl 1201.60055 Math. Z. 266, No. 3, 489-503 (2010). Reviewer: Nikolaos Halidias (Athens) MSC: 60H10 31B05 60G52 60J75 PDFBibTeX XMLCite \textit{R. F. Bass} and \textit{Z.-Q. Chen}, Math. Z. 266, No. 3, 489--503 (2010; Zbl 1201.60055) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming Heat kernel estimates for the Dirichlet fractional Laplacian. (English) Zbl 1203.60114 J. Eur. Math. Soc. (JEMS) 12, No. 5, 1307-1329 (2010). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60J35 47G30 47D07 60J75 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., J. Eur. Math. Soc. (JEMS) 12, No. 5, 1307--1329 (2010; Zbl 1203.60114) Full Text: DOI Link Backlinks: MO
Chen, Zhen-Qing; Kim, Panki; Song, Renming Two-sided heat kernel estimates for censored stable-like processes. (English) Zbl 1190.60068 Probab. Theory Relat. Fields 146, No. 3-4, 361-399 (2010). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60J35 47D07 60J75 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Probab. Theory Relat. Fields 146, No. 3--4, 361--399 (2010; Zbl 1190.60068) Full Text: DOI
Chen, Zhen-Qing; Kuwae, Kazuhiro On doubly Feller property. (English) Zbl 1221.60111 Osaka J. Math. 46, No. 4, 909-930 (2009). Reviewer: Ion Cuculescu (Bucureşti) MSC: 60J57 60J25 31C25 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{K. Kuwae}, Osaka J. Math. 46, No. 4, 909--930 (2009; Zbl 1221.60111) Full Text: Euclid
Chen, Zhen-Qing Symmetric jump processes and their heat kernel estimates. (English) Zbl 1186.60073 Sci. China, Ser. A 52, No. 7, 1423-1445 (2009). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60J35 35S10 47G30 60J75 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, Sci. China, Ser. A 52, No. 7, 1423--1445 (2009; Zbl 1186.60073) Full Text: DOI arXiv
Chen, Zhen-Qing; Rohde, Steffen Schramm-Loewner equations driven by symmetric stable processes. (English) Zbl 1173.82025 Commun. Math. Phys. 285, No. 3, 799-824 (2009). MSC: 82C31 60G52 60H99 60J65 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{S. Rohde}, Commun. Math. Phys. 285, No. 3, 799--824 (2009; Zbl 1173.82025) Full Text: DOI arXiv
Chen, Zhen-Qing; Fukushima, Masatoshi One-point extensions of Markov processes by darning. (English) Zbl 1147.60051 Probab. Theory Relat. Fields 141, No. 1-2, 61-112 (2008). Reviewer: Pavel Gapeev (London) MSC: 60J50 60J25 60J35 31C25 60J60 60G52 60J65 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{M. Fukushima}, Probab. Theory Relat. Fields 141, No. 1--2, 61--112 (2008; Zbl 1147.60051) Full Text: DOI
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
Chen, Zhenqing A note on the Green function estimates for symmetric stable processes. (English) Zbl 1082.60066 Albeverio, Sergio (ed.) et al., Recent developments in stochastic analysis and related topics. Proceedings of the first Sino-German conference on stochastic analysis (a satellite conference of ICM 2002), Beijing, China, 29 August – 3 September 2002. River Edge, NJ: World Scientific (ISBN 981-256-104-8/hbk). 125-135 (2004). Reviewer: Yoichi Oshima (Kumamoto) MSC: 60J45 31C99 60G52 PDFBibTeX XMLCite \textit{Z. Chen}, in: Recent developments in stochastic analysis and related topics. Proceedings of the first Sino-German conference on stochastic analysis (a satellite conference of ICM 2002), Beijing, China, 29 August -- 3 September 2002. River Edge, NJ: World Scientific. 125--135 (2004; Zbl 1082.60066)
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
Benjamini, Itai; Chen, Zhen-Qing; Rohde, Steffen Boundary trace of reflecting Brownian motions. (English) Zbl 1056.60075 Probab. Theory Relat. Fields 129, No. 1, 1-17 (2004). Reviewer: Yimin Xiao (East Lansing) MSC: 60J65 60G17 28A80 30C35 60G52 60J50 60J60 PDFBibTeX XMLCite \textit{I. Benjamini} et al., Probab. Theory Relat. Fields 129, No. 1, 1--17 (2004; Zbl 1056.60075) Full Text: DOI arXiv
Chen, Zhen-Qing; Song, Renming Hardy inequality for censored stable processes. (English) Zbl 1070.46021 Tohoku Math. J., II. Ser. 55, No. 3, 439-450 (2003). Reviewer: Niels Jacob (Swansea) MSC: 46E35 31C25 60J25 60J45 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{R. Song}, Tôhoku Math. J. (2) 55, No. 3, 439--450 (2003; Zbl 1070.46021) Full Text: DOI
Bogdan, Krzysztof; Burdzy, Krzysztof; Chen, Zhen-Qing Censored stable processes. (English) Zbl 1032.60047 Probab. Theory Relat. Fields 127, No. 1, 89-152 (2003). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60G52 60G17 60J45 PDFBibTeX XMLCite \textit{K. Bogdan} et al., Probab. Theory Relat. Fields 127, No. 1, 89--152 (2003; Zbl 1032.60047) Full Text: DOI Link
Chen, Zhen-Qing; Kim, Panki Green function estimate for censored stable processes. (English) Zbl 1016.60070 Probab. Theory Relat. Fields 124, No. 4, 595-610 (2002). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 31C15 31C35 60G52 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{P. Kim}, Probab. Theory Relat. Fields 124, No. 4, 595--610 (2002; Zbl 1016.60070) Full Text: DOI
Chen, Zhen-Qing; Song, Renming Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains. (English) Zbl 0959.60035 Ill. J. Math. 44, No. 1, 138-160 (2000). Reviewer: Gong Guanglu (Beijing) MSC: 60G52 60J25 60J45 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{R. Song}, Ill. J. Math. 44, No. 1, 138--160 (2000; Zbl 0959.60035) Full Text: arXiv
Chen, Zhen-Qing Multidimensional symmetric stable processes. (English) Zbl 0937.60069 Korean J. Comput. Appl. Math. 6, No. 2, 227-266 (1999). Reviewer: Thomas Simon (Berlin) MSC: 60J45 31B25 31C40 60G52 60J50 60J75 31C05 31C15 31C35 47D07 PDFBibTeX XMLCite \textit{Z.-Q. Chen}, Korean J. Comput. Appl. Math. 6, No. 2, 227--266 (1999; Zbl 0937.60069)
Chen, Zhen-Qing; Song, Renming Intrinsic ultracontractivity and conditional gauge for symmetric stable processes. (English) Zbl 0886.60072 J. Funct. Anal. 150, No. 1, 204-239 (1997). Reviewer: Gong Guanglu (Beijing) MSC: 60J45 60J75 60G18 60J99 60J65 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{R. Song}, J. Funct. Anal. 150, No. 1, 204--239 (1997; Zbl 0886.60072) Full Text: DOI Link