PUBLICATIONS

Zhen-Qing Chen


  1. Stochastic analysis on the extended sample space and tightness results.
    Probab. Theory Related Fields, 86 (1990), 517-549.

  2. On reflected Dirichlet spaces.
    Probab. Theory Related Fields, 94 (1992), 135-162.

  3. Pseudo Jordan domains and reflecting Brownian motions.
    Probab. Theory Related Fields, 94 (1992), 271-280.

  4. On reflecting diffusion processes and Skorokhod decompositions.
    Probab. Theory Related Fields, 94 (1993), 281-316.

  5. Reflecting Brownian motions: quasimartingales and strong Caccioppoli sets.
    Potential Analysis, 2 (1993), 219-243. (with P.J. Fitzsimmons and R.J. Williams)

  6. The binding capacity is a probability density function.
    Biophysical Journal, 65 (1993), 164-170. (with E. DiCera)

  7. Switched diffusion processes and systems of elliptic equations--a Dirichlet space approach.
    Proc. Royal Soc. Edinburgh, 124A (1994), 673-701. (with Z. Zhao)

  8. On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions.
    Math. Ann. 298 (1994), 543-556. (with R.J. Williams and Z. Zhao)

  9. A Sobolev inequality and Neumann heat kernel estimate for unbounded domains.
    Math. Research Letters, 1 (1994), 177-184. (with R.J. Williams and Z. Zhao)

  10. Quasi-homeomorphisms of Dirichlet forms.
    Nagoya J. Math. 136 (1994), 1-15. (with Z.M. Ma and M. Roeckner)

  11. Diffusion processes and second order elliptic operators with singular coefficients for lower order terms.
    Math. Ann. 302 (1995), 323-357. (with Z. Zhao)

  12. On the existence of positive solutions of semilinear elliptic equations with Neumann boundary conditions.
    Probab. Theory Related Fields, 101 (1995), 251-276. (with R.J. Williams and Z. Zhao)

  13. Non-negative solutions for semilinear elliptic equations with boundary conditions--a probabilistic approach.
    Proceedings of Symposia in Pure Mathematics, vol. 57 (1995), 65-82. (with R.J. Williams and Z. Zhao)

  14. Reflecting Brownian motions and a deletion result for Sobolev spaces of order (1,2).
    Potential Analysis, 5 (1996). 383-401.

  15. Potential theory for elliptic systems.
    Ann. Probab. 24 (1996), 293-319. (with Z. Zhao)

  16. Holomorphic diffusions and boundary behavior of harmonic functions.
    Ann. Probab. 25 (1997), 1103-1134. (with R. Durrett and G. Ma)

  17. Harnack principle for weakly coupled elliptic systems.
    Journal of Differential Equations, 139 (1997), 261-282. (with Z. Zhao)

  18. Stability and approximations of symmetric diffusion semigroups and kernels.
    J. Funct. Anal. 152 (1998), 255-280. (with Y. Hu, Z. Qian and W. Zheng)

  19. Estimates on Green functions and Poisson kernels of symmetric stable processes in bounded domains.
    Math. Ann. 312 (1998), 465-501. (with R. Song)

  20. Intrinsic ultracontractivity and conditional gauge for symmetric stable processes.
    J. Funct. Anal. 150 (1997), 204-239. (with R. Song)

  21. Weak convergence of reflecting Brownian motions.
    Elect. Comm. Probab. 3 (1998), 29-33. (with K. Burdzy)

  22. Martin boundary and integral representation for harmonic functions of symmetric stable processes.
    J. Funct. Anal. 159 (1998), 267-294. (with R. Song)

  23. On the existence of positive solutions for semilinear elliptic equations with singular lower order coefficients and Dirichlet boundary conditions.
    Math. Ann. 315 (1999), 735--769. (with R.J. Williams and Z. Zhao)

  24. Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains.
    Ill. J. Math. 44 (2000), 138--160. (with R. Song)

  25. Local time flow related to skew Brownian motion.
    Ann. Probab. 29 (2001), 1693--1715. (with K. Burdzy)

  26. Multidimensional symmetric stable processes.
    Korean J. Comput. Appl. Math. 6 (1999), 227-266.

  27. Crossing estimates for symmetric Markov processes.
    Probab. Theory Related Fields. 120 (2001), 68-84. (with P.J. Fitzsimmons and R. Song)

  28. A Note on Green function estimates for symmetric stable processes.
    In Recent Developments in Stochastic Analysis and Related Topics, p.125-135.
    Proceedings of the First Sino-German Conference on Stochastic Analysis (2002). World Scientific, 2004. (with R. Song)

  29. Stochastic differential equations for Dirichlet processes.
    Probab. Theory Related Fields, 121 (2001), 422-446. (with R. Bass)

  30. The heat equation in time dependent domains with insulated boundaries.
    J. Math. Anal. Appl. 294 (2004), 581-595. (with K. Burdzy and J. Sylvester)

  31. Heat equation and reflected Brownian motion in time dependent domains.
    Ann. Probab. 32 (2004), 775-804. (Joint with K. Burdzy and J. Sylvester)

  32. Heat equation and reflected Brownian motion in time dependent domains II: singularities of solutions.
    J. Funct. Anal. 204 (2003), 1-34. (with K. Burdzy and J. Sylvester)

  33. Girsanov and Feynman-Kac type transformations for symmetric Markov processes.
    Ann. Inst. Henri Poincaré Probab. Statist., 38 (2002), 475-505. (with T.-S. Zhang)

  34. General gauge and conditional gauge theorems.
    Ann. Probab. 30 (2002), 1313-1339. (with R. Song)

  35. Brownian motion with singular drift.
    Ann. Probab. 31 (2003), 791-817. (with R. Bass)

  36. Coalescence of synchronous couplings.
    Probab. Theory Related Fields, 123 (2002), 553--578. (with K. Burdzy)

  37. Conditional gauge theorem for non-local Feynman-Kac transforms.
    Probab. Theory Related Fields, 125 (2003), 45-72. (with R. Song)

  38. Gaugeability and conditional gaugeability.
    Trans. Amer. Math. Soc. 354 (2002), 4639--4679.

  39. Censored stable processes.
    Probab. Theory Related Fields 127 (2003), 89--152. (with K. Bogdan and K. Burdzy)

  40. Hardy inequality for censored stable processes.
    Tohoku Math. J. 55 (2003), 439-450. (with R. Song)

  41. Drift transforms and Green function estimates for discontinuous processes.
    J. Funct. Anal. 201 (2003), 262-281. (with R. Song)

  42. Green function estimate for censored stable processes.
    Probab. Theory Related Fields 124 (2002), 595-610. (with P. Kim)

  43. Uniqueness for reflecting Brownian motion in lip domains.
    Ann. Inst. Henri Poincaré Probab. Statist. 41 (2005), 197-235. (with R. Bass and K. Burdzy)

  44. Analytic characterization of conditional gaugeability for non-local Feynman-Kac transforms.
    J. Funct. Anal. 202 (2003), 226-246.

  45. Absolute continuity of symmetric Markov processes.
    Ann. Probab. 32 (2004), 2067-2098. (Joint with P.J. Fitzsimmons, M. Takeda, J. Ying and T.-S. Zhang)

  46. Stochastic differential equations driven by stable processes for which pathwise uniqueness fails.
    Stochastic Process Appl. 111 (2004), 1-15. (with R. Bass and K. Burdzy)

  47. Heat kernel estimates for stable-like processes on d-sets.
    Stochastic Process Appl. 108 (2003), 27-62. (with T. Kumagai)

  48. Traps for reflecting Brownian motion.
    Math. Z. 252 (2006), 103-132. (with K. Burdzy and D. Marshall)

  49. Stability of Martin boundary under non-local Feynman-Kac perturbations.
    Probab. Theory Related Fields, 128 (2004), 525-564. (with P. Kim)

  50. Boundary trace of reflecting Brownian motions.
    Probab. Theory Related Fields, 129 (2004), 1-17. (with I. Benjamini and S. Rohde)

  51. Systems of equations driven by stable processes.
    Probab. Theory Related Fields, 134 (2006), 175-214. (with R. Bass)

  52. One-dimensional stochastic differential equations with singular and degenerate coefficients.
    Sankhya 67 (2005), 19-45. (with R. Bass)

  53. Two-sided eigenvalue estimates for subordinate processes in domains.
    J. Funct. Anal. 226 (2005), 90-113. (with R. Song)

  54. Traces of symmetric Markov processes and their characterizations.
    Ann. Probab. 34 (2006), 1052-1102. (with M. Fukushima and J. Ying)

  55. Continuity of eigenvalues of subordinate processes in domains.
    Math. Z. 252 (2006), 71-89. (with R. Song)

  56. Synchronous couplings of reflected Brownian motions in smooth domains.
    Ill. J. Math. 50 (2006) (Special volume in memory of Joseph Doob), 189-268. (with K. Burdzy and P. Jones)

  57. Entrance law, exit system and Levy system of time-changed processes.
    Ill. J. Math. 50 (2006) (Special volume in memory of Joseph Doob), 269-312. (with M. Fukushima and J. Ying)

  58. On the Robin problem in fractal domains.
    Proc. London Math. Soc. 96 (2008), 273-311. (with R. F. Bass and K. Burdzy)

  59. Comparison of potential theoretic properties of rough domains.
    Proc. Amer. Math. Soc. 134 (2006), 3247-3253. (with K. Burdzy)

  60. Shy couplings.
    Probab. Theory Related Fields, 137 (2007), 345-377. (with I. Benjamini and K. Burdzy)

  61. Spectral properties of subordinate processes in domains.
    In Stochastic Analysis and Partial Differential Equations, 77-84.
    (Eds. G-Q Chen, E. Hsu and M. Pinsky.) AMS Compt. Math. 429 (2007). (with R. Song)

  62. Extending Markov processes in weak duality by Poisson point processes of excursions.
    Proceedings of the Abel Symposium 2005, Stochastic Analysis and Applications-A Symposium in Honor of Kiyosi Ito, pp 153-196.
    (Eds. F.E. Benth, G. Di nUNno, T. Lindstrom, B. Oksendal and T. Zhang.) Springer, 2007. (with M. Fukushima and J. Ying)

  63. Pathwise uniqueness for a degenerate stochastic differential equation.
    Ann. Probab. 35 (2007), 2385-2418. (with R. Bass and K. Burdzy)

  64. Heat kernel estimates for jump processes of mixed types on metric measure spaces.
    Probab. Theory Related Fields 140 (2008), 277-317. (with T. Kumagai)

  65. One-point extensions of Markov processes by darning.
    Probab. Theory Related Fields 141 (2008), 61-112. (with M. Fukushima)

  66. Stochastic calculus for symmetric Markov processes .
    Ann. Probab. 36 (2008), 931-970. Errata. Ann. Probab. 40 (2012), 1375-1376. (with P. J. Fitzsimmons, K. Kuwae and T.-S. Zhang)

  67. Perturbation of symmetric Markov processes.
    Probab. Theory Related Fields 140 (2008), 239-275. (with P. J. Fitzsimmons, K. Kuwae and T.-S. Zhang)

  68. Non-local Dirichlet forms and symmetric jump processes.
    Trans. Amer. Math. Soc. 361 (2009), 1963-1999. (with M. T. Barlow, R. F. Bass and M. Kassmann)

  69. Limit theorems for branching Markov processes.
    J. Funct. Anal. 250 (2007), 374-399. (with Y. Shiozawa)

  70. On Feller's boundary problem for Markov processes in weak duality.
    J. Funct. Anal. 252 (2007), 710-733. (with M. Fukushima)

  71. Discrete approximations to reflected Brownian motion.
    Ann. Probab. 36 (2008), 698-727. (with K. Burdzy)

  72. On Feynman-Kac perturbation of symmetric Markov processes.
    In Proceedings of Functional Analysis IX, Dubrovnik, Croatia, 2005, pp. 39-43.

  73. Interacting superprocesses with discontinuous spatial motion.
    Forum Math. 24 (2012), 1183-1223. (with H. Wang and J. Xiong)

  74. Flux and lateral conditions for symmetric Markov processes.
    Potential Analysis 29 (2008), 241-269. (with M. Fukushima)

  75. Schramm-Loewner equations driven by symmetric stable processes.
    Comm. Math. Phys. 285 (2009), 799-824. (with S. Rohde)

  76. An almost sure scaling limit theorem for Dawson-Watanabe superprocesses
    J. Funct. Anal. 254 (2008), 1988-2019. (with Y. Ren and H. Wang)

  77. Exit time, Green function and semilinear elliptic equations.
    Elect. J. Probab. 14 (2009), 50-71. (with R. Atar and S. Athreya)

  78. Weighted Poincaré inequality and heat kernel estimates for finite range jump processes.
    Math. Ann. 342 (2008), 833-883. (with P. Kim and T. Kumagai)

  79. Time-reversal and elliptic boundary value problems.
    Ann. Probab. 37 (2009), 1008-1043. (with T.-S. Zhang)

  80. On general perturbations of symmetric Markov processes.
    J. Math. Pures et Appliquées 92 (2009), 363-374. (with P. Fitzsimmons, K. Kuwae and T.-S. Zhang)

  81. Stochastic evolution equations driven by stable processes.
    Osaka J. Math. 48 (2011), 311-327. (with T.-S. Zhang)

  82. Heat kernel estimates for Dirichlet fractional Laplacian.
    J. Euro. Math. Soc. 12 (2010), 1307-1329. (with P. Kim and R. Song)

  83. Two-sided heat kernel estimates for censored stable-like processes.
    Probab. Theory Related Fields 146 (2010), 361-399. (with P. Kim and R. Song)

  84. Stationary distributions for diffusions with inert drift.
    Probab. Theory Related Fields 146 (2010), 1-47. (with R. Bass, K. Burdzy and M. Hairer)

  85. On doubly Feller property.
    Osaka J. Math. 46 (2009), 909-930. (with K. Kuwae)

  86. On unique extension of time changed reflecting Brownian motions.
    Ann. Inst. Henri Poincaré Probab. Statist. 45 (2009), 864-875. (with M. Fukushima)

  87. A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps.
    Revista Matematica Iberoamericana 26 (2010), 551-589. (with T. Kumagai)

  88. On notions of harmonicity.
    Proc. Amer. Math. Soc. 137 (2009), 3497-3510.

  89. On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces.
    Acta Mathematica Sinica, English Series 25 (2009), 1067-1086. (with P. Kim and T. Kumagai)

  90. Symmetric jump processes and their heat kernel estimates.
    Sci. China Ser. A. 52 (2009), 1423-1445.

  91. Boundary Harnack principle for Δ + Δα/2.
    Trans. Amer. Math. Soc. 384 (2012), 4169-4205. (with P. Kim, R. Song and Z. Vondracek)

  92. Regularity of harmonic functions for a class of singular stable-like processes.
    Math. Z. 266 (2010), 489-503. (with R. F. Bass)

  93. Global heat kernel estimates for fractional Laplacians in unbounded open sets.
    Probab. Theory Related Fields. 149 (2011), 373-395. (with J. Tokle)

  94. Sharp heat kernel estimates for relativistic stable processes in open sets.
    Ann. Probab. 40 (2012), 213-244. (with P. Kim and R. Song)

  95. Green function estimates for relativistic stable processes in half-space-like open sets.
    Stochastic Process Appl. 121 (2011), 1148-1172. (with P. Kim and R. Song)

  96. Dirichlet heat kernel estimates for Δ α/2 +Δ β/2 .
    Ill. J. Math. 54 (2010) (Special issue in honor of D. Burkholder), 1357-1392. (with P. Kim and R. Song)

  97. An L2-theory for a class of SPDEs driven by Lévy processes.
    Sci. in China, Series A 55 (2012) (Special issue on Probability), 2233-2246. (with K.-H. Kim)

  98. Sharp Green function estimates for Δ + Δα/2 in C1,1open sets and their applications.
    Ill. J. Math. 54 (2010) (Special issue in honor of D. Burkholder), 981-1024. (with P. Kim, R. Song and Z. Vondracek)

  99. On subhamonicity for symmetric Markov processes.
    J. Math. Soc. Japan, 64 (2012), 1181-1209. (with K. Kuwae)

  100. Archimedes' principle for Brownian liquid.
    Ann. Appl. Probab. 21 (2011), 2053-2074. (with K. Burdzy and S. Pal)

  101. Heat kernel estimates for Δ + Δα/2 in C1,1 open sets.
    J. London Math. Soc. 84 (2011), 58-80. (with P. Kim and R. Song)

  102. Global heat kernel estimates for symmetric jump processes.
    Trans. Amer. Math. Soc. 363 (2011), 5021-5055. (with P. Kim and T. Kumagai)

  103. An Lp-theory of non-divergence form SPDEs driven by Lévy processes.
    Forum Math. 26 (2014), 1381-1411. (with K.-H. Kim)

  104. Discrete approximation of symmetric jump processes on metric measure spaces.
    Probab. Theory Related Fields 155 (2013), 703-749. (with P. Kim and T. Kumagai)

  105. Global heat kernel estimate for relativistic stable processes in half-space-like open sets.
    Potential Analysis. 36 (2012), 235-261. (with P. Kim and R. Song)

  106. Dirichlet heat kernel estimates for fractional Laplacian under gradient perturbation.
    Ann. Probab. 40 (2012), 2483-2538. (with P. Kim and R. Song)

  107. Brownian earthworm.
    Ann. Probab. 41 (2013), 4002-4049. (with K. Burdzy and S. Pal)

  108. A localization formula in Dirichlet form theory.
    Proc. Amer. Math. Soc. 140 (2012), 1815-1822. (with M. Fukushima)

  109. Global heat kernel estimates for Δ + Δα/2 in half-space-like domains.
    Eletronic J. Probab.17 (2012), Paper 32, 1-31. (with P. Kim and R. Song)

  110. Uniform integrability of exponential martingales and spectral bounds of non-local Feynman-Kac semigroups.
    In Stochastic Analysis and Applications to Finance, Essays in Honor of Jia-an Yan. (Eds by T. Zhang and X. Zhou), 2012. pp.55-75.

  111. Reflecting random walk in fractal domains.
    Ann. Probab. 41 (2013), 2401-3050. (with K. Burdzy)

  112. Lp-independence of spectral bounds of generalized non-local Feynman-Kac semigroups
    J. Funct. Anal. 262 (2012), 4120-4139.

  113. Space-time fractional diffusion on bounded domains.
    J. Math. Anal. Appl. 393 (2012), 479-488. (with M. M. Meerschaert and E. Nane)

  114. Global heat kernel estimate for relativistic stable processes in exterior open sets.
    J. Funct. Anal. 263 (2012), 448-475. (with P. Kim and R. Song)

  115. Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation.
    Trans. Amer. Math. Soc. 367 (2015), 5237-5270. (with P. Kim and R. Song)

  116. A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients.
    Proc. Amer. Math. Soc. 142 (2014), 2135-2149. (with T. Zhang)

  117. Perturbation by non-local operators.
    Ann. Inst. Henri Poincaré Probab. Statist. 54 (2018), 606-639. (with Jieming Wang)

  118. Chordal Komatu-Loewner equation and Brownian motion with darning in multiply connected domains.
    Trans. Amer. Math. Soc. 368 (2016), 4065-4114. (with M. Fukushima and S. Rohde)

  119. Dirichlet heat kernel estimates for rotationally symmetric Lévy processes.
    Proc. London Math. Soc. 109 (2014), 90-120. (with P. Kim and R. Song)

  120. Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components.
    J. Reine Angew. Math.. 711 (2016), 111-138. (with P. Kim and R. Song)

  121. Uniqueness of stable processes with drifts.
    Proc. Amer. Math. Soc. 144 (2016), 2661-2675. (with L. Wang)

  122. Quenched invariance principles for random walks and elliptic diffusions in random media with boundary.
    Ann. Probab. 43 (2015), 1594-1642. (with D.A. Croydon and T. Kumagai)

  123. On uniform positivity of transition densities of small noise constrained diffusions.
    Electron. Commun. Probab. 19 (2014), no. 1, p.1-9. (with A. Budhiraja)

  124. Heat kernels and analyticity of non-symmetric jump diffusion semigroups.
    Probab. Theory Related Fields 165 (2016), 267-312. (with X. Zhang)

  125. One-dimensional heat equation with discontinuous conductance.
    Sci. China Math. 58 (2015), 97-108. (with M. Zili)

  126. Ergodicity for time changed symmetric stable processes.
    Stochastic Process Appl. 124 (2014), 2799-2823. (with Jian Wang)

  127. Hydrodynamic limits and propagation of chaos for interacting random walks in domains.
    Ann. Appl. probab. 27 (2017), 1299-1371. (with W.-T. Fan)

  128. Systems of interacting diffusions with partial annihilation through membranes.
    Ann. Probab. 45 (2017), 100-146. (with W.-T. Fan)

  129. Fractional time stochastic partial differential equations.
    Stochastic Process Appl. 125 (2015), 1470-1499. (with K.-H. Kim and P. Kim)

  130. One-point reflection.
    Stochastic Process Appl. 125 (2015), 1368-1393. (with M. Fukushima)

  131. Functional central limit theorem for Brownian particles in domains with Robin boundary condition.
    J. Funct. Anal. 269 (2015), 3765-3811. (with W.-T. Fan)

  132. Scaling limits of interacting diffusions in domains.
    Front. Math. China 9 (2014), 717-736. (with W.-T. Fan)

  133. Stochastic Komatu-Loewner evolutions and BMD domain constant.
    Stochastic Process Appl. 128 (2018), 545-594. (with M. Fukushima)

  134. Fluctuation limit for interacting diffusions with partial annihilations through membranes.
    J. Stat. Phys. 164 (2016), 890-936. (with W.-T. Fan)

  135. Heat kernel estimates for Δ + Δα/2 under gradient perturbation.
    Stochastic Processes Appl. 125 (2015), 2603-2642. (with E. Hu)

  136. Hölder estimates for nonlocal-diffusion equations with drifts.
    Commun. Math. Stat. 2 (2014), 331-348. (with X. Zhang)

  137. Global Dirichlet heat kernel estimates for symmetric Lévy processes in half-space.
    Acta Applicandae Mathematicae 146 (2016), 113-143. (with P. Kim)

  138. Drift perturbation of subordinate Brownian motions with Gaussian component.
    Sci. China Math. 59 (2016), 239-260. (with X. Dou)

  139. Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
    Potential Analysis 45 (2016), 509-537. (with Y.-X. Ren and T. Yang)

  140. Stochastic flows for Lévy processes with Hölder drifts.
    Revista Matemática Iberoamericana 34 (2018), 1755-1788. (with R. Song and X. Zhang)

  141. Strong law of large numbers for supercritical superprocesses under second moment condition.
    Front. Math. China 10 (2015), 807-838. (with Y. Ren, R. Song and R. Zhang)

  142. Law of large numbers for branching symmetric Hunt processes with measure-valued branching rates.
    J. Theor. Probab. 30 (2017), 898-931. (with Y.-X. Ren and T. Yang)

  143. Obliquely reflected Brownian motion.
    Ann. Probab. 45 (2017), 2971-3037. (with K. Burdzy, D. Marshall and K. Ramanan)

  144. Dirichlet heat kernel estimates for fractional Laplacian under non-local perturbation.
    Preprint 2016. (with Ting Yang)

  145. Stability of heat kernel estimates for symmetric non-local Dirichlet forms.
    Mem. Amer. Math. Soc.. 271 (2021), no. 1330. (with T. Kumagai and J. Wang)

  146. Brownian motion on some spaces with varying dimension.
    Ann. Probab. 47 (2019), 213-269. (with S. Lou)

  147. Stochastic Komatu-Loewner evolutions and SLEs.
    Stochastic Process Appl. 127 (2017), 2068-2087. (with M. Fukushima and H. Suzuki)

  148. Strong stability of heat kernels of non-symmetric stable-like operators.
    In Stochastic Analysis and Related Topics, A Festschrift in honor of Rodrigo Banuelos, pp. 57-65.
    Progress in Probability, Birkhauser, 2017. (with X. Zhang)

  149. Properties of switching jump diffusions: maximum principles and Harnack inequalities.
    Bernoulli 25 (2019), 1045-1075. (with X. Chen, K. Tran and G. Yin)

  150. Lp-maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators.
    J. Math. Pures et Appliquées 116 (2018), 52-87. (with X. Zhang)

  151. Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms.
    J. Euro. Math. Soc. 22 (2020), 3747-3803. (with T. Kumagai and J. Wang)

  152. Reflections at infinity of time changed RBMs on domains with Liouville branches.
    J. Math. Soc. Japan. 70 (2018), 833-852. (with M. Fukushima)

  153. Heat kernels for non-symmetric diffusion operators with jump.
    J. Differential Equations 263 (2017), 6576-6634. (with E. Hu, L. Xie and X. Zhang)

  154. Markov processes with darning and their approximations.
    Stochastic Process Appl. 128 (2018), 3030-3053. (with J. Peng)

  155. Time fractional equations and probabilistic representation.
    Chaos, Solitons and Fractals 102 (2017), 168-174.

  156. Heat kernels for non-symmetric non-local operators.
    Recent Developments in the Nonlocal Theory, 24-51, De Gruyter, Berlin, 2018. (with X. Zhang).

  157. Backward stochastic differential equations with rank-based data.
    Sci. China Math. 61 (2018), 27-56. (with X. Feng)

  158. Elliptic Harnack inequalities for symmetric non-local Dirichlet forms.
    J. Math. Pures et Appliquées 125 (2019), 1-42. (with T. Kumagai and J. Wang)

  159. Propagation of regularity in Lp-spaces for Kolmogorov type hypoelliptic operators.
    J. Evol. Equ. 19 (2019), 1041-1069. (with X. Zhang)

  160. Superdiffusions with large mass creation--construction and growth estimates.
    Ann. Inst. Henri Poincaré Probab. Statist. 56 (2020), 1809-1840. (with J. Englander)

  161. Mean value inequalities for jump processes.
    Stochastic Partial Differential Equations and Related Fields, 421-437.
    Springer Proc. Math. Stat., 229, Springer, Cham, 2018. (With T. Kumagai and J. Wang)

  162. Recurrence and ergodicity for a class of regime-switching jump diffusions.
    Appl. Math. Optim. 80 (2019), 415-445. (with X. Chen, K. Tran and G. Yin)

  163. Heat kernel estimates for time fractional equations.
    Forum Mathematicum 30 (2018), 1163-1192. (with P. Kim, T. Kumagai and J. Wang)

  164. L log L criterion for a class of multitype superdiffusions with nonlocal branching mechanism.
    Sci. China Math. 62 (2019), 1439-1462. (with Y. Ren and R. Song)

  165. Skeleton decomposition and law of large numbers for supercritical superprocesses.
    Acta Applicandae Mathematicae 159 (2019), 225-285. (with Y. Ren and T. Yang)

  166. Heat kernels for time-dependent non-symmetric stable-like operators.
    J. Math. Anal. Appl. 465 (2018), 1-21. (with X. Zhang)

  167. Supercritical SDEs driven by multiplicative stable-like Lévy processes.
    Trans. Amer. Math. Soc. 374 (2021), 7621-7655. (with X. Zhang and G. Zhao)

  168. Large deviation for additive functionals of symmetric Markov processes.
    Trans. Amer. Math. Soc. 373 (2020), 2981-3005.(with K. Tsuchida)

  169. Lp-independence of spectral radius for generalized Feynman-Kac semigroups.
    Math. Annalen 374 (2019), 601-652. (with D. Kim and K. Kuwae)

  170. Small time asymptotics for Brownian motion with singular drift.
    Proc. Amer. Math. Soc. 147 (2019), 3567-3578/ (with S. Fang and T.-S. Zhang)

  171. Long range random walks and associated geometries on groups of polynomial growth.
    Ann. Inst. Fourier (Grenoble) 72 (2022), 1249-1304. (with T. Kumagai, L. Saloff-Coste, J. Wang and T. Zheng)

  172. Heat kernel for non-local operators with variable order.
    Stochastic Process Appl. 130 (2020), 3574-3647. (with X. Chen and J. Wang)

  173. Reflected backward stochastic differential equations with rank-based data.
    J. Theor. Probab. 34 (2021), 1213-1247. (with X. Feng)

  174. Time fractional Poisson equations: representations and estimates.
    J. Funct. Anal. 278 (2020), No. 2, Paper 108311, 48 pp. (with P. Kim, T. Kumagai, and J. Wang)

  175. Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms.
    Adv. Math. 374 (2020), Paper 107269. (with T. Kumagai and J. Wang)

  176. Heat kernel estimates for general symmetric pure jump Dirichlet forms.
    Ann. Sc. Norm. Super. Pisa Cl. Sci.(5) 23 (2022), 1091-1140. (with T. Kumagai and J. Wang)

  177. Quenched invariance principle for long range random walks in balanced random environments
    Ann. Inst. Henri Poincaré Probab. Statist. 57 (2021), 2243-2267. (with X. Chen, T. Kumagai and J. Wang)

  178. Stability of heat kernel estimates for symmetric diffusion processes with jumps.
    To appear in Proceedings of the International Congress of Chinese Mathematicians (Beijing 2019). (with T. Kumagai and J. Wang)

  179. Hölder regularity and gradient estimates for SDEs driven by cylindrical α-stable processes.
    Electron. J. Probab. 25 (2020), article no. 137, 1-23. (with Z. Hao and X. Zhang)

  180. Homogenization of symmetric stable-like processes in stationary ergodic media.
    SIAM J. Math. Anal. 53 (2021), 2957-3001. (with X. Chen, T. Kumagai and J. Wang)

  181. Periodic homogenization of non-symmetric Lévy-type processes.
    Ann. Probab. 49 (2021), 2874-2921. (with X. Chen, T. Kumagai and J. Wang)

  182. Homogenization of symmetric jump processes in random media.
    Rev. Roumaine Math. Pures Appl. 66 (2021), 83-105. (with X. Chen, T. Kumagai and J. Wang)

  183. Stability of heat kernel estimates and parabolic Harnack inequalities for general symmetric pure jump processes.
    In Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs. pp.3-25.
    (Eds. A. Grigoryan and Y. Sun). De Gruyter, 2021. (with T. Kumagai and J. Wang)

  184. Stability of EHI and regularity of MMD spaces.
    Preprint 2020. (with M. T. Barlow and M. Murugan)

  185. Heat kernels for non-symmetric mixed Lévy-type operators.
    J. Funct. Anal. 285 (2023), paper No. 109947, 58 pp. (with X. Zhang)

  186. Heat kernel upper bounds for symmetric Markov semigroups.
    J. Funct. Anal. 281 (2021), paper 109074. (with P. Kim, T. Kumagai and J. Wang)

  187. Averaging principle for stochastic variational inequalities with application to PDEs with nonlinear Neumann conditions.
    J. Differential Equations. 328 (2022), 157-201. (with J. Wu)

  188. Solvability of parabolic Anderson equation with fractional Gaussian noise.
    Commun. Math. Stat. 11 (2023), 563-582. (with Y. Hu)

  189. Feynman-Kac transform for anomalous processes.
    SIAM J. Math. Anal. 53 (2021), 6017-6047. (with W. Deng and P. Xu)

  190. Heat kernels for reflected diffusions with jumps on inner uniform domains.
    Trans. Amer. Math. Soc. 375 (2022), 6797-6841. (with P. Kim, T. Kumagai and J. Wang)

  191. Fokker-Planck equation for Feynman-Kac transform of anomalous processes.
    Stochastic Process Appl. 147 (2022), 300-326 (with S. Zhang)

  192. Green function estimates for second order elliptic operators in non-divergence form with Dini continuous coefficients.
    Electron. J. Probab. 28 (2023), article no. 36, 1-54 (with J.-M. Wang)

  193. Boundary Harnack principle for diffusion with jumps.
    Stochastic Process. Appl. 151 (2022), 342-395. (with J.-M. Wang)

  194. On strongly continuous Markovian semigroups.
    Dirichlet Forms and Related Topics, 57-61, Springer Proc. Math. Stat., 394, Springer, Singapore, 2022.

  195. Two-sided heat kernel estimates for symmetric diffusion processes with jumps: recent results.
    Dirichlet Forms and Related Topics, 63-83, Springer Proc. Math. Stat., 394, Springer, Singapore, 2022. (With P. Kim, T. Kumagai and J. Wang)

  196. Stability of elliptic Harnack inequalities.
    Sci. China Math. 66 2023), 2179-2190.

  197. Inverse local time of one-dimensional diffusions and its comparison theorem.
    Sci. China Math. 67 (2024), https://doi.org/10.1007/s11425-024-2269-x (With Lidan Wang)

  198. Dirichlet heat kernel estimates for rectilinear stable processes.
    Preprint 2022. 55 pp. (With Eryan Hu and Guohuan Zhao)

  199. Stochastic maximum principle for sub-diffusions and its applications.
    SIAM J. Control Optim. 62 (2024), 953-981.

  200. Quantitative stochastic homogenization for random conductance models with stable-like jumps.
    arXiv:2306.15855 (With X. Chen, T. Kumagai and J. Wang)

  201. Convergence of resistances on generalized Sierpiski carpets.
    Preprint 2023. (with S. Cao)

  202. On Kigami's conjecture of the embedding Wp(K) ⊆ C(K).
    Proc. Amer. Math. Soc. 152 (2024), 3393-3402. (with S. Cao and T. Kumagai)

  203. Boundary Harnack principle for non-local operators on metric measure spaces.
    To appear in Ann. Probab. (with Jie-Ming Wang)

  204. Fully coupled forward-backward stochastic differential equations driven by sub-diffusions.
    J. Differential Equations. 405 (2024), 337-358. (with S. Zhang)

  205. Stochastic maximum principle for fully coupled forward-backward stochastic differential equations driven by sub-diffusion.
    SIAM J. Control Optim. 62 (2024), 2433-2455. (with S. Zhang)

  206. Whether p-conductive homogeneity holds depends on p.
    To appear in J. Fractal Geom. (with S. Cao)

  207. Time fractional equations and anomalous sub-diffusions--in memory of Professor Shisong Mao.
    Chinese J. Appl. Probab. Statist. 40 (2024), 323-342.

  208. Quantitative periodic homogenization for symmetric non-local stable-like operators.
    arXiv:2409.0812 (With X. Chen, T. Kumagai and J. Wang)

  209. Harnack inequality for weakly coupled nonlocal systems.
    arXiv:2410.10188 (With X. Meng)

  210. Boundary trace theorems for symmetric reflected diffusions.
    arXiv:2410.19201 (With S. Cao)

  211. Uniform boundary Harnack principle for non-local operators on metric measure spaces.
    arXiv:2410.20719 (With S. Cao)