List of Publications

  1. R. Song: Regular fuzzy numbers. J. Hebei Univ., (Natural Sci. Ed.), Vol. 3, No. 2 (1983), 86-87.

  2. R. Song: On the extension of a class of fuzzy measures. J. Hebei Univ., (Natural Sci. Ed.), Vol. 4, No. 2 (1984), 97-101.

  3. R. Song: On the (N)--fuzzy integral. Fuzzy Math., Vol. 5. No. 3 (1985), 91-106.

  4. Q. Yang and R. Song: Further discussion of the pan-integral on fuzzy measure spaces. Fuzzy Math., Vol. 5. No. 4 (1985), 27-36.

  5. Z. Li and R. Song: Probabilistic representations of the solutions to the Schrodinger equations. Chin. J. of Appl. Probab. Stat., Vol. 2, No. 1 (1986), 66--70.

  6. R. Song: A note on fuzzy measures of fuzzy subsets. Fuzzy Math., Vol. 6, No. 3 (1986), 13-14.

  7. Z. Ma and R. Song: Probabilistic approach to Neumann Problem with infinite gauge. Acta Math. Appl. Sinica, Vol. 4 (1988), 30--40.

  8. R. Song: Probabilistic approach to the Dirichlet problem of second order elliptic PDE. Acta Math. Appl. Sinica, Vol. 5 (1989), 137--147.

  9. R. Song: Probabilistic approach to the Dirichlet problem of a class of semilinear equations. Chin. J. Appl. Probab. Stat., Vol. 5, No. 1 (1989), 61--69.

  10. R. Song: Probabilistic approach to the third boundary value problem. J. of Hebei Univ., (Natural Sci. Ed.), Vol. 9, No. 1 (1989), 85--100.

  11. R. Song: On a class of special Markov processes. J. Hebei Univ., (Natural Sci. Ed.), Vol. 9, No. 3 (1989), 1-8.

  12. Z. Ma and R. Song: Probabilistic methods in Schrodinger equations. Seminar on Stochastic Processes, 1989 (edited by E. Cinlar, K. L. Chung and R. K. Getoor), Birkhauser, Boston, 1990, 135-164.

  13. J. Glover and R. Song: Multiplicative symmetry groups of Markov processes. Seminar on Stochastic Processes, 1990 (edited by E. Cinlar, K. L. Chung and R. K. Getoor), Birkhauser, Boston, 1991, 193-206.

  14. Z. Ma and R. Song: Probabilistic approach to semilinear and generalized mixed boundary value problems. Acta Math. Appl. Sinica, Vol. 8, No.3 (1992), 214--228.

  15. J. Glover, M. Rao and R. Song: Generalized Schrodinger semigroups. Seminar on Stochastic Processes, 1992 (edited by E. Cinlar, K. L. Chung and M. J. Sharpe), Birkhauser, Boston, 1993, 143-172.

  16. J. Glover, M. Rao and R. Song: The gauge theorem for a class of additive functionals of zero energy. Probab. Th. rel. Fields, Vol. 97 (1993), 195-210.

  17. R. Song: Probabilistic approach to the Dirichlet problem of perturbed stable processes. Probab. Th. rel. Fields, Vol. 95 (1993), 371--389.

  18. J. Glover, M. Rao, H. Sikic and R. Song: $\Gamma$-potentials. Classical and Modern Potential Theory and Applications (edited by K. GowriSankaran et al), Kluwer Academic Publishers, Dordrechet, Netherlands, 1994, 217-232.

  19. M. Rao, H. Sikic and R. Song: Application of Carleson's theorem to wavelet inversions. Control and Cybern. Vol. 23 (1994), 761-771.

  20. J. Glover, M. Rao, H. Sikic and R. Song: Quadratic forms corresponding to the generalized Schrodinger semigroup. J. Funct. Anal., Vol. 125 (1994), 358-378.

  21. R. Song: Feynman-Kac semigroups with discontinuous additive functionals. J. Theor. Probab., Vol. 8 (1995), 727-762.

  22. P. Olsen and R. Song: Diffusion of directed polymers in a strong random environment. J. Stat. Physics, Vol. 83 (1996), 727-738.

  23. R. Song and X. Y. Zhou: A remark on diffusion of directed polymers in random environments. J. Stat. Physics, Vol. 85 (1996), 277-289.

  24. Z.-Q. Chen and R. Song: Intrinsic ultracontractivity and conditional gauge for symmetric stable processes. J. Funct. Anal., Vol. 150 (1997), 204-239.

  25. Z.-Q. Chen and R. Song: Estimates on the Green functions and Poisson kernels of symmetric stable processes. Math. Ann., Vol. 312 (1998), 465-501.

  26. Z.-Q. Chen and R. Song: Martin boundary and integral representation for harmonic functions of symmetric stable processes. J. of Funct. Anal., Vol. 159 (1998), 267-294.

  27. J. Conlon and R. Song: Gaussian limit theorems for diffusion processes and an application. Stoch. Proc. Appl., Vol. 81 (1999), 103--128.

  28. R. Song and J.-M. Wu: Boundary Harnack inequality for symmetric stable processes. J. of Funct. Anal., Vol. 168 (1999), 403-427.

  29. Z.-Q. Chen and R. Song: Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains. Illinois J. Math., Vol. 44 (2000), 138-160.

  30. J. Conlon and R. Song: Random Walks associated with non divergence form elliptic equations. J. Theor. Probab., Vol. 13 (2000), 427-489.

  31. Z.-Q. Chen, P. J. Fitzsimmons and R. Song: Crossing Estimates for Symmetric Markov Processes. Probab. Th. rel. Fields, Vol. 120 (2001), 68-84.

  32. Z.-Q. Chen and R. Song: General gauge and conditional gauge theorems. Ann. Probab., Vol. 30 (2002), 1313-1339. PDF

  33. S. Albeverio, R. Song and X. Y. Zhou: On the partition function and diffusive behavior of directed polymers in a random environment. Collections Papers of Zhou Xianyin, Beijing Normal University Press, Beijing, 2002. 911-914.

  34. Z.-Q. Chen and R. Song: Conditional gauge theorems for non-local Feynman-Kac transforms. Probab. Theory Related Fields, Vol. 125, No. 1 (2003), 45--72. PDF

  35. Z.-Q. Chen and R. Song: Drift transforms and Green function estimates for discontinuous processes. J. Funct. Anal. Vol. 201, No. 1 (2003), 262--281. PDF

  36. Z.-Q. Chen and R. Song: Hardy inequality for censored stable processes. Tohoko Math. J., Vol. 55(2003), 439-450. PDF

  37. R. Song and Z. Vondracek: Potential theory of subordinate killed Brownian motion in a domain. Probab. Theory Related Fields, Vol. 125, No.4 (2003), 578--592. PDF

  38. R. Song and Z. Vondracek: Harnack inequality for some classes of Markov processes. Math. Z. Vol. 246, No. 1-2 (2004), 177--202. PDF

  39. Z.-Q. Chen and R. Song: A note on the Green function estimates for symmetric stable processes. Recent developments in stochastic analysis and related topics, (Proceedings of the First Sino-German Conference on Stochastic Analysis), 125--135, World Sci. Publ., Hackensack, NJ, 2004. Postscript PDF

  40. R. Song: Sharp bounds on the density, Green function and Jumping function of subordinate killed BM. Probab. Theory Related Fields, Vol. 128, No. 4 (2004), 606--628. PDF

  41. R. Song: Estimates on the Dirichlet heat kernel of domains above the graphs of bounded $C^{1, 1}$ functions. Glas. Mat., Vol. 39, No. 2 (2004), 273--286. Postscript PDF

  42. J. Glover, M. Rao, Z. Pop-Stojanovic, H Sikic, R. Song and Z. Vondracek: Harmonic functions of subordinate killed Brownian motions. J. Funct. Anal., Vol. 215, NO. 2 (2004), 399--426. PDF

  43. R. Song and Z. Vondracek: Sharp bounds for Green functions and jumping functions subordinate killed Brownian motions in bounded $C^{1, 1}$ domains. Electron. Comm. Probab., Vol. 9 (2004), 96--105. PDF

  44. R. Song and Z. Vondracek: Harnack inequality for some discontinuous Markov processes with a diffusion part. Glas. Mat., Vol. 40, No. 1 (2005), 177--187. Postscript PDF

  45. Z. Chen and R. Song: Two-sided Eigenvalue Estimates for Subordinate Processes in Domains. J. Funct. Anal., Vol. 226, No. 1 (2005), 90--113. PDF

  46. M. Rao, R. Song and Z. Vondracek: Green function estimates and Harnack inequality for subordinate Brownian motions. Potential Anal., Vol. 25, No. 1 (2006), 1--27. PDF

  47. Z. Chen and R. Song: Continuity of eigenvalues for Subordinate Processes in Domains. Math. Z., Vol. 252, No. 1 (2006), 71--89. PDF

  48. R. Song: Estimates on the transition density of Girsanov transforms of symmetric stable processes, J. Theoret. Probab., Vol. 19, No. 2 (2006), 487--507 PDF

  49. R. Song and Z. Vondracek: Potential theory of special subordinators and subordinate killed stable processes. J. Theoret. Probab., Vol. 19, No. 4 (2006), 817--847. PDF

  50. H. Sikic, R. Song and Z. Vondracek: Potential theory of geometric stable processes. Probab. Theory Related Fields, Vol. 135, No. 4 (2006), 547--575. PDF

  51. R. Song: Two-sided estimates on the density of the Feynman-Kac semigroups of stable-like processes. Electron. J. Probab., Vol. 11, No. 6 (2006), 146--161 PDF

  52. R. Song and Z. Vondracek: On the monotonicity of a function related to the local time of a symmetric Levy process. Statist. Probab. Lett., Vol. 76, No. 14 (2006), 1522--1528. PDF

  53. P. Kim and R. Song: Two-sided estimates on the density of Brownian motion with singualr drift Illinois J. Math., Vol. 50 (2006), 635--688 PDF

  54. R. Song and Z. Vondracek: Parabolic Harnack Inequality for the Mixture of Brownian Motion and Stable Process. Tohoku Math. J., Vol. 59, No. 1 (2007), 1--19. PDF

  55. P. Kim and R. Song: Potential Theory of truncated stable processes. Math. Z., Vol. 256, No. 1 (2007), 139--173. PDF

  56. Z.-Q. Chen and R. Song: Spectral properties of subordinate processes in domains. Stochastic Analysis and Partial Differential Equations (edited by G.-Q. Chen, E. P. Hsu and M. Pinsky), 77-84, AMS, 2007. PDF

  57. P. Kim and R. Song: Estimates on Green functions and Schrodinger-type equations for non-symmetric diffusions with measure-valued drifts. J. Math. Anal. Appl., Vol. 332, No. 1 (2007), 57--80. PDF

  58. P. Kim and R. Song: Boundary Harnack principle for Brownian motions with measure-valued drifts in bounded Lipschitz domains. Math. Ann., Vol. 339, No. 1 (2007), 135--174. PDF

  59. P. Kim and R. Song: On dual processes of non-symmetric diffusions with measure-valued drifts. Stoch. Proc. Appl., Vol. 118 (2008), 790--817. PDF

  60. P. Kim and R. Song: Boundary behavior of harmnoic functions for truncated stable processes. J. Theoret. Probab., Vol. 21 (2008), 287--321. PDF

  61. P. Kim and R. Song: Intrinsic ultracontractivity of non-symmetric diffusions with measure-valued drifts and potentials (to appear in Ann. Probab.) PDF

  62. P. Kim and R. Song: Intrinsic ultracontractivity for non-symmetric Levy processes (to appear in Forum Math.) PDF

  63. R. Song and Z. Vondracek: Some remarks on special subordinators (to appear in Rocky Mountain J. of Math.) PDF

  64. R. Song and Z. Vondracek: On suprema of Levy processes and application in risk theory (to appear in Ann. Inst. H. Poincare, Probab. Statist.) PDF

  65. Y.-X. Ren, R. Song and H. Wang: A class of stochastic partial differential equations for interacting superprocesses on a bounded domain (to appear in Osaka J. Math.) PDF

  66. P. Kim and R. Song: Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains (to appear in Tohoku Math. J.) PDF

  67. R. Song and Z. Vondracek: On tre Relationship between subordinate killed and killed subordinate processes Elect. Commun. Probab.,Vol. 13 (2008), 325--336 PDF

  68. P. Kim, R. Song and Z. Vondracek: Boundary Harnack Principle for Subordinate Brownian Motions (to appear in Stoch. Proc. Appl.) PDF