- Two-sided estimates of heat kernels of jump type Dirichlet forms (with A. Grigor’yan and Eryan Hu) preprint ( 56 pages )
- Two-sided sub-Gaussian estimates of heat kernels on intervals for self-similar measures with overlaps (with Qingsong Gu, Sze-Man Ngai), version 1 (48 pages) , version 2 (42 pages)
- The Davies method revisited for heat kernel upper bounds of regular Dirichlet forms on metric measure spaces (with Xuliang Li) version 1 (27 pages, including bounded metric space, updated on April 5th, 2017)
- Fractal blowups and heat kernel estimates (with Qingsong Gu) Acta Mathematicae Applicatae Sinica (English Series) (to appear) ( 42 pages )

- 《分形分析引论》(An introduction to the fractal analysis, in Chinese, 230 pages), Science Press, 2013 ( Table of Contents , Corrections (PDF), Corrections (Latex))

- Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces(with A. Grigor’yan and Eryan Hu) J. Funct. Anal. 272 (2017), no. 8, 3311–3346. ( 25 pages, revised )
- Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces (with A. Grigor’yan and K.-S. Lau) (minor revise, J. Math. Soc. Japan, Vol. 67, 1485-1549 (2015). Special Issue dedicated to Kiyosi Itō, ) ( 50 pages )
- Estimates of heat kernels for non-local regular Dirichlet forms (with A. Grigor’yan and K.-S. Lau) , Trans. Amer. Math. Soc. 366 (2014), 6397-6441 ( revised, 41 pages )
- Heat kernels on metric measure spaces (with A. Grigor’yan and K.-S. Lau) Proceedings of AFRT2012. In: Geometry and Analysis of Fractals (2014), 147-208 ( 52 pages )
- Upper bounds of heat kernels on doubling spaces (with A. Grigor’yan) Moscow Mathematical Journal 14 (2014), 505-563 (pdf, 56 pages )
- Heat kernels and Green functions on metric measure spaces (with A. Grigor’yan) Canadian J. Math. 66 (2014), 641-699 (pdf, 56 pages )
- Heat kernels and nonlinear PDEs on fractals, Proceedings of the Conference in honour of Kenneth Falconer's 60th birthday (to appear) ( 31 pages )
- Inhomogeneous parabolic equations on unbounded metric measure spaces (with K.J. Falconer and Yuhua Sun), Proc. A of the Royal Society of Edinburgh 142 (2012), 1003-1025. ( pdf, 24 pages)
- Comparison inequalities for heat semigroups and heat kernels on metric measure spaces (with A. Grigor’yan, and Ka-Sing Lau) J. Funct. Anal. 259 (2010), 2613-2641. ( pdf, 25 pages)
- Schrödinger equations and heat kernel upper bounds on metric spaces (with M. Zähle), Forum Math. Vol. 22(No.6) (2010), 1213-1234. ( pdf)
- Heat kernels on metric spaces with doubling measure (with A. Grigor’yan and K.-S. Lau), Proceedings of Conference on Fractal Geometry in Greifswald IV, Birkhäuser, 2009, 3-44, ( pdf, 43 pages)
- Generalized Bessel and Riesz potentials on metric measure spaces (with M. Zähle), Potential Anal. 30 (2009) , 315-340, ( pdf)
- Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces (with A. Grigor’yan)， Invent. Math. 174 (2008), 81–126, ( pdf)
- Obtaining upper bounds of heat kernels from lower bounds (with A. Grigor’yan and K.S. Lau), Comm. Pure Appl. Math. 61 (2008), no. 5, 639-660, ( pdf)
- A note on the limiting weak-type behavior for maximal operators (with X.P. Huang), Proc. Amer. Math. Soc. 136 (2008), 1599-1607, ( pdf)
- An analytical approach to heat kernel estimates on strongly recurrent metric spaces, Proc. Edin. Math. Soc. 51 (2008), 171-199. ( pdf)
- Heat kernel estimates on effective-resistance metric spaces (with Yuan Ji and Z.Y. Wen), Progress in Natural Science Vol.17 (2007), 775-783, ( revised, pdf)
- Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals (with X.S. Wang), Studia Math. 177 (2006), 153-172. ( pdf)
- Nash-type inequalities and heat kernels for non-local Dirichlet forms(with T. Kumagai), Kyushu J. Math. 60 (2006), 245--265. ( pdf)
- Fractal Laplace operators on bounded open subsets of R
^{d}(with K.-S. Lau and S.-M. Ngai), J. Func. Anal. 239 (2006), 542-565. ( pdf) - Equivalence conditions for on-diagonal upper bounds of heat kernels on self-similar spaces (with A. Grigor’yan and K.S. Lau), J. Func. Anal. 237 (2006), 427-445. ( pdf)
- Jump processes and nonlinear fractional heat equations on fractals (with M. Zähle), Math. Nachr. 279 (2006), 150-163. ( pdf)
- Potential spaces on fractals (with M. Zähle), Studia Math., 170 (2005), 259-281. ( pdf)
- Hajlasz-Sobolev type spaces on fractals (with Y. Ji and Z.Y. Wen), Ann. Acad. Sci. Fenn 30(1) (2005),99-111. ( pdf)
- Heat kernels on metric-measure spaces and an application to semilinear elliptic equations (with A. Grigor’yan and K.S. Lau), Tran. Amer. Math. Soc. 355 (2003), 2065--2095
- Nonlinear diffusion equations on unbounded fractal domains (with K.J. Falconer), J. Math. Anal. Appl. 256(2001), 606-624
- L
^{1}-continuous dependence property for systems of conversation laws(with P.G. LeFloch), Arch. Rational Mech. Aanl. 151(2000), 49-52 - Two-dimensional Riemann problem for pressureless gas dynamics equations with functional solutions, Quart. Appl. Math. 58(2000), 251-264
- The Riemann problem for pressureless fluid dynamics with distribution solutions in Colombeau's sense, Comm. Math. Phys, 194(1998), 191-205
- The Riemann problem for a resonant nonlinear system of conservation laws with Dirac-measure solutions, Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), 81--94
- A limiting viscosity approach to Riemann solutions containing delta-shock waves for nonstrictly hyperbolic conservation laws, Quart. Appl. Math. 55 (1997), no. 2, 361--373.