Some Recent Preprints in PDF Format

• Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation . (with P. Kim and R. Song)
  
  
• Global heat kernel estimate for relativistic stable processes in exterior open sets . (with P. Kim and R. Song)
  
  
• Space-time fractional diffusion on bounded domains . (with M. M. Meerschaert and E. Nane)
  
  
• L^p-independence of spectral bounds of generalized non-local Feynman-Kac semigroups .
  
  
• Reflecting random walk in fractal domains .   (with Krzysztof Burdzy)
  
  
• Uniform integrability of exponential martingales and spectral bounds of non-local Feynman-Kac semigroups.
  
  
• Global heat kernel estimates for Δ + Δ^α/2 in half-space-like domains .   (with P. Kim and R. Song)
  
  
• A localization formula in Dirichlet form theory .
  To appear in Proc. Amer. Math. Soc. (with M. Fukushima)
  
  
• Brownian earthworm .   (with K. Burdzy and S. Pal)
  
  
• Dirichlet heat kernel estimates for fractional Laplacian under gradient perturbation .
  To appear in Ann. Probab. (with P. Kim and R. Song)
  
  
• Discrete approximation of symmetric jump processes on metric measure spaces .
  To appear in Probab. Theory Relat. Fields. (with P. Kim and T. Kumagai)
  
  
• An L^p-theory of non-divergence form SPDEs driven by Lévy processes.   (with K.-H. Kim)
  
  
• Heat kernel estimates for Δ + Δ^α/2 in C^1,1 open sets .
  J. London Math. Soc. 84 (2011), 58-80. (with P. Kim and R. Song)
  
  
• Archimedes' principle for Brownian liquid .
  Ann. Appl. Probab. 21 (2011), 2053-2074. (with K. Burdzy and S. Pal)
  
  
• On subhamonicity for symmetric Markov processes .
  To appear in J. Math. Soc. Japan. (with K. Kuwae)
  
  
• Sharp Green function estimates for Δ + Δ^α/2 in C^1,1 open sets and their applications. .
  To appear in the special issue of Ill. J. Math in honor of D. Burkholder. (with P. Kim, R. Song and Z. Vondracek)
  
  
• An L²-theory on SPDE driven by Lévy processes .   (with K.-H. Kim)
  
  
• Dirichlet heat kernel estimates for Δ^α/2 + Δ^β/2 .
  To appear in the special issue of Ill. J. Math in honor of D. Burkholder. (with P. Kim and R. Song)
  
  
• Boundary Harnack principle for Δ + Δ^α/2.
  To appear in Trans. Amer. Math. Soc. (with P. Kim, R. Song and Z. Vondracek)
  
  
• Symmetric jump processes and their heat kernel estimates .   (survey article)
  Sci. China Ser. A 52 (2009), 1423-1445.
  
  
• Interacting superprocesses with discontinuous spatial motion. .
  To appear in Forum Math. (with H. Wang and J. Xiong)
  
  

List of Zhen-Qing Chen's Publications and Preprints

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