Some Recent Preprints in PDF Format

• Uniform boundary Harnack principle for non-local operators on metric measure spaces.
  Preprint 2024. (with Shiping Cao)
  
  
• Boundary trace theorems for symmetric reflected diffusions.
  Preprint 2024. (with Shiping Cao)
  
  
• Harnack inequality for weakly coupled nonlocal systems.
  Preprint 2024. (with Xiangqian Meng)
  
  
• Whether p-conductive homogeneity holds depends on p.
  To appear in J. Fractal Geom. (with Shiping Cao)
  
  
• Convergence of resistances on generalized Sierpiski carpets.
  Preprint 2023. (with Shiping Cao)
  
  
• Boundary Harnack principle for non-local operators on metric measure spaces.
  To appear in Ann. Probab. (with Jie-Ming Wang)
  
  
• Fully coupled forward-backward stochastic differential equations driven by sub-diffusions.
  J. Differential Equations. 405 (2024), 337-358. (with S. Zhang)
  
  
• On Kigami's conjecture of the embedding W^p(K) ⊆ C(K).
  Proc. Amer. Math. Soc. 152 (2024), 3393-3402. (with S. Cao and T. Kumagai)
  
  
• Quantitative stochastic homogenization for random conductance models with stable-like jumps.
  Preprint 2023. (With X. Chen, T. Kumagai and J. Wang)
  
  
• Stochastic maximum principle for sub-diffusions and its applications.
  SIAM J. Control Optim. 62 (2024), 953-981. (with S. Zhang)
  
  
• Dirichlet heat kernel estimates for rectilinear stable processes.
  Preprint 2022. 55 pp. (With Eryan Hu and Guohuan Zhao)
  
  
• Limit theorems for some long range random walks on torsion free nilpotent groups
  SpringerBriefs Math. Springer, Cham, 2023, xiii+139 pp. (with T. Kumagai, L. Saloff-Coste, J. Wang, and T. Zheng)
  
  
• Solvability of parabolic Anderson equation with fractional Gaussian noise.
  Commun. Math. Stat. 11 (2023), 563-582. (with Y. Hu)
  
  
• Heat kernel upper bounds for symmetric Markov semigroups.
  J. Funct. Anal. 281 (2021), paper 109074. (with P. Kim, T. Kumagai and J. Wang)
  
  
• Heat kernels for non-symmetric mixed Lévy-type operators.
  J. Funct. Anal. 285 (2023), paper No. 109947, 58 pp. (with X. Zhang)
  
  
• Stability of EHI and regularity of MMD spaces
  Preprint 2020. (with M. T. Barlow and M. Murugan)
  
  
• Periodic homogenization of non-symmetric Lévy-type processes.
  Ann. Probab. 49 (2021), 2874-2921. (with X. Chen, T. Kumagai and J. Wang)
  
  
• Homogenization of symmetric stable-like processes in stationary ergodic medium.
  SIAM J. Math. Anal. 53 (2021), 2957-3001. (with X. Chen, T. Kumagai and J. Wang)
  
  
• 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)
  
  
• 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)
  
  
• Supercritical SDEs driven by multiplicative stable-like Lévy processes.
  Trans. Amer. Math. Soc. 374 (2021), 7621-7655 (with X. Zhang and G. Zhao)
  
  
• Heat kernel estimates for general symmetric pure jump Dirichlet forms.
  Ann. Sc. Norm. Super. Pisa Cl. Sci. 23 (2022), 1091-1140. (with T. Kumagai and J. Wang)
  
  
• Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms.
  Adv. Math. 374 (2020), Paper 107269. (with T. Kumagai and J. Wang)
  
  
• 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)
  
  
• 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)
  
  
• 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)
  
  
• Stability of heat kernel estimates for symmetric non-local Dirichlet forms.
  Memoirs of the AMS 271 (2021), no. 1330. (with T. Kumagai and J. Wang)
  
  

Lecture Notes

• Brownian Motion with Darning .
  
  

List of Zhen-Qing Chen's Publications and Preprints

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