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. PDF

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

  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. PDF

  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. PDF

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

  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. PDF

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

  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. PDF

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

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

  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. PDF

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

  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. PDF

  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. PDF

  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. PDF

  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. PDF

  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. PDF

  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 harmonic 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. Ann. Probab., Vol. 36 (2008), 1904--1945. PDF

  62. R. Song and Z. Vondracek: On suprema of Levy processes and application in risk theory. Ann. Inst. H. Poincare, Probab. Statist., Vol. 44 (2008), 977--986. PDF

  63. P. Kim and R. Song: Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains. Tohoku Math. J., Vol. 60 (2008), 527--547. PDF

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

  65. P. Kim and R. Song: Intrinsic ultracontractivity for non-symmetric Levy processes. Forum Math., Vol. 21 (2009), 43--66. PDF

  66. Y.-X. Ren, R. Song and H. Wang: A class of stochastic partial differential equations for interacting superprocesses on a bounded domain. Osaka J. Math., Vol. 46(2009), 373--401 PDF

  67. P. Kim, R. Song and Z. Vondracek: Boundary Harnack Principle for Subordinate Brownian Motions. Stoch. Proc. Appl., Vol. 119 (2009), 1601--1631. PDF

  68. R.-L. Liu, Y.-X. Ren and R. Song: LlogL criterion for a class of super-diffusions. J. Appl. Probab., Vol. 46 (2009), 479--496 PDF

  69. R. Song and Z. Vondracek: Potential theory of subordinate Brownian motion. In "Lecture Notes in Math., Vol. 1980", 2009. PDF

  70. Z.-Q. Chen, P. Kim and R. Song: Heat kernel estimates for Dirichlet fractional Laplacian. J. European Math. Soc., Vol. 12 (2010), 1307--1329. PDF

  71. R. Song and Z. Vondracek: Some remarks on special subordinators. Rocky Mountain J. of Math., Vol. 40 (2010), 321--337. PDF

  72. Z.-Q. Chen, P. Kim and R. Song: Two-sided heat kernel estimates for censored stable-like processes. Probab. Theory Relat. Fields, Vol. 146 (2010), 361--399. PDF

  73. A. Kyprianou, V. Rivero and R. Song: Convexity and smoothness of scale functions and de Finetti's control problem J. Theoret. Probab., Vol. 23 (2010), 547--564. PDF

  74. P. Kim, R. Song and Z. Vondracek: On the potential theory of one-dimensional subordinate Brownian motions with continuous components. Potential Analysis, Vol. 33 (2010), 153--173 PDF

  75. Z.-Q. Chen, P. Kim, R. Song and Z. Vondracek: Sharp Green function estimates for $\Delta + \Delta^{\alpha/2}$ in $C^{1, 1}$ open sets and their applications. Illinois J. Math. Vol. 54 (2010), 981--1024. PDF

  76. Z.-Q.. Chen, P. Kim and R. Song Dirichlet heat kernel estimates for $\Delta^{\alpha/2} +\Delta^{\beta/2}$. Illinois J. Math. Vol. 54 (2010), 1357--1392. PDF

  77. R.-L. Liu, Y.-X. Ren and R. Song: LlogL condition for supercritical branching Hunt processes. J. Theoretical Probab., Vol. 24 (2011), 170--193 PDF

  78. Z.-Q.. Chen, P. Kim and R. Song: Green function estimates for relativistic stable processes in half-space like open sets. Stochastic Process. Appl., Vol. 121 (2011), 1148--1172 PDF

  79. Z.-Q.. Chen, P. Kim and R. Song: Heat kernel estimates for $\Delta + \Delta^{\alpha/2}$ in $C^{1, 1}$ open sets. J. London Math. Soc., Vol. 84 (2011), 58--80 PDF

  80. P. Kim, R. Song and Z. Vondracek: On harmonic functions for trace processes. Math. Nach., Vol. 284 (2011), 1889--1902. PDF

  81. A. Chen, L. Feng and R. Song: On the monitoring error of the supremum of a normal jump diffusion process. J. Appl. Probab., Vol. 48 (2011), 1021--1034 PDF

  82. Z.-Q.. Chen, P. Kim, R. Song and Z. Vondracek: Boundary Harnack principle for $\Delta + \Delta^{\alpha/2}$. Trans. Amer. Math. Soc. Vol. 364 (2012), 4169--4205 PDF

  83. Z.-Q.. Chen, P. Kim and R. Song Sharp heat kernel estimates for relativistic stable processes in open sets. Ann. Probab. Vol. 40 (2012), 213--244 PDF

  84. Z.-Q. Chen, P. Kim and R. Song: Global heat kernel estimates for relativistic stable processes in half-space-like open sets. Potential Analysis. Vol. 36 (2012), 235--261 PDF

  85. Z.-Q. Chen, P. Kim and R. Song: Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation. Ann. Probab. Vol. 40 (2012), 2483--2538 PDF

  86. P. Kim, R. Song and Z. Vondracek: Potential theory of subordinate Brownian motions revisited. Stochastic Analysis and Applications to Finance--Essays in Honour of Jia-an Yan, edited by Tusheng Zhang & Xunyu Zhou. World Scientific, 2012, pages 243--290. PDF

  87. P. Kim, R. Song and Z. Vondracek: Minimal thinness for subordinate Brownian motion in half space. Annales de l'Institut Fourier, Vol. 62 (2012), 1045--1080 PDF

  88. P. Kim, R. Song and Z. Vondracek: Two-sided Green function estimates for killed subordinate Brownian motions. Proc. London Math. Soc. Vol. 104(2012), 927--958 PDF

  89. L. Bo, R. Song, D. Tang, Y. Wang and X. Yang: Levy risk model with two-sided jumps and a barrier dividend strategy. Insurance: Mathematics and Economics, Vol. 50(2012), 280--291 PDF

  90. Z.-Q. Chen, P. Kim and R. Song: Global Heat Kernel Estimates for $\Delta+\Delta^{\alpha/2}$ in Half-space-like domains. Elect. J. Probab. Vol. 17 (2012), No. 32, 1--32 PDF

  91. Z.-Q. Chen, P. Kim and R. Song: Global Heat Kernel Estimates for Relativistic Stable Processes in Exterior Open Sets. J. Funct. Anal. Vol. 263 (2012), 448--475. PDF

  92. P. Kim, R. Song and Z. Vondraecek: Uniform boundary Harnack principle for rotationally symmetric Levy processes in general open sets. Science China Mathematics Vol. 55, (2012), 2317--2333 PDF

  93. R.-L. Liu, Y.-X. Ren and R. Song Strong law of large numbers for a class of superprocesses. Acta. Appl. Math. Vol. 123 (2013), 73--97 PDF

  94. P. Kim, H. Park and R. Song: Sharp estimates on the Green functions of perturbations of subordinate Brownian motions in bounded $\kappa$-fat open sets. Potential Analysis, Vol. 38 (2013), 319--344 PDF

  95. P. Kim, R. Song and Z. Vondracek: Potential theory of subordinate Brownian motions with Gaussian components. Stoch. Proc. Appl. Vol. 123 (2013), 764--795. PDF

  96. P. Kim, R. Song and Z. Vondracek: Global uniform boundary Hanack principle with explicit decay rate and its application. Stoch. Proc. Appl. Vol. 124 (2014), 235-267. PDF

  97. Y.-X. Ren, R. Song and R. Zhang: Central limit theorem for super Ornstein-Uhlenbeck proceses. Acta Appl. Math. Vol. 130 (2014), 9--49. PDF

  98. Z.-Q. Chen, P. Kim and R. Song: Dirichlet heat kernel estimates for rotationally symmetric Levy processes. Proc. London Math. Soc. Vol. 109 (2014), 90--120 PDF

  99. J. Zhang, S. Li and R. Song: Quasi-stationarity and quasi-ergodicity of general Markov processes. Science China Math. Vol. 57 (2014), 2013--2024 PDF

  100. P. Kim, R. Song and Z. Vondracek: Boundary Harnack principle and Martin boundary at infinity for subordinate Brownian motions. Potential Analysis, Vol. 41 (2014), 407--441 PDF

  101. P. Kim and R. Song: Stable process with singular drift. Stoch. Proc. Appl. Vol. 124 (2014) 2479--2516. PDF

  102. P. Kim and R. Song: Dirichlet heat kernel estimates for stable processes with singular drift in unbounded C^{1,1} open sets. Potential Analysis, Vol. 41 (2014), 555--581 PDF

  103. Y.-X. Ren, R. Song and R. Zhang: Central Limit Theorems for Supecritical Branching Markov Processes. Journal of Functional Analysis, Vol. 266 (2014), 1716--1756. PDF

  104. T. Gao, J. Duan, X. Li and R. Song: Mean Exit Time and Escape Probability for Dynamical Systems Driven by Levy Noises. SIAM J. Scientific Computing. Vol. 36 (2014), A887--A906. PDF

  105. H. Meng, J. Duan, R. Song and W. Xu: Asymmetric non-Gaussian effects in a tumor growth model with immunization. Appl. Math. Model. Vol. 38 (2014), 4428--4444. PDF

  106. P. Kim, R. Song and Z. Vondracek: Martin boundary for some symmetric Levy processes. Festschrift Masatoshi Fukushima, pp. 307--342. PDF

  107. H. Park and R. Song Trace estimates for relativistic stable processes. Potential Analysis, Vol. 41 (2014), 1273--1291. PDF

  108. Z.-Q. Chen, P. Kim and R. Song: Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation. Trans. Amer. Math. Soc. Vol. 367 (2015), 5237--5270. PDF

  109. Y.-X. Ren, R. Song and R. Zhang: Central Limit Theorems for Supecritical Superrocesses. Stoch. Proc. Appl. Vol. 125 (2015), 428--457 PDF

  110. Z.-Q. Chen, Y.-X. Ren, R. Song and R. Zhang: Strong law of large numbers for supercritical superprocesses under second momemnt condition. Front. Math. China. Vol. 10(4) (2015), 807--838. PDF

  111. Y.-X. Ren, R. Song and R. Zhang: Limit theorems for some critical superprocesses. Illinois J. Math. Vol. 59 (2015), 235--276. PDF

  112. Z.-Q. Chen, P. Kim and R. Song: Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components. Journal fur reine und angewandte Mathematik Vol. 711 (2016), 111--138 PDF

  113. J. Englander, Y.-X. Ren and R. Song: Weak extinction versus global exponential growth of total mass for superdiffusions. Ann. l'Institut Henri Poincare, Vol. 52 (2016), 448--482. PDF

  114. P. Kim, R. Song and Z. Vondracek: Minimal thinness with respect to symmetric Levy processes. Trans. Amer. Math. Soc. Vol. 368 (2016), 8785--8822 PDF

  115. P. Kim, R. Song and Z. Vondracek: Minimal thinness with respect to subordinate killed Brownian motions. Stoch Proc Appl. Vol. 126 (2016), 1226--1263 PDF

  116. P. Kim, R. Song and Z. Vondracek: Martin boundary of unbounded sets for purely discontinuous Feller processes. Forum Math. Vol. 28 (2016), 1067--1085. PDF

  117. Y.-X. Ren, R. Song and R. Zhang: Central limit theorems for supercritical branching nonsymmetric Markov processes. Ann. Probab. Vol. 45 (2017), 564--623 PDF

  118. Y.-X. Ren, R. Song and R. Zhang: Functional central limit theorems for supercritical superprocesses. Acta Appl. Math. Vol. 147 (2017), 137--175. PDF

  119. P. Kim, R. Song and Z. Vondracek: Scale invariant boundary Harnack principle at infinity for Feller processes. Pot. Anal. Vol. 47 (2017), 337--367. PDF

  120. P. Kim, R. Song and Z. Vondracek: Accessibility, Martin boundary and minimal thinness for Feller processes in metric measure spaces. Rev. Mat. Iberoam. Vol. 34 (2018), 541--592. PDF

  121. X. Wang, J. Duan, X. Li and R. Song: Numerical algorithms for mean exit time and escape probability of stochastic systems with asymmetric Levy motion. Applied Math. Computation. Vol. 337 (2018), 618--634. PDF

  122. Z.-Q. Chen, R. Song and X. Zhang: Stochastic flows for Levy processes with Holder drifts. Rev. Mat. Iberoam. Vol 34 (2018), 1755-1788. PDF

  123. P. Kim, R. Song and Z. Vondracek: Heat kernels of non-symmetric jump processes: beyond the stable case. Pot. Anal. Vol 49 (2018), 37--90. PDF

  124. P. Kim, R. Song and Z. Vondracek: Potential theory of subordinate killed Brownian motions. Trans. Amer. Math. Soc. Vol. 371 (2019), 3917--3969 PDF

  125. Y.-X. Ren, R. Song and R. Zhang: Williams decomposition for superprocesses Elect J Probab. Vol 23 (2018), no. 23, 1--33.PDF

  126. L. Feng, S. Li, R. Song and Y. Li: Explosion suppression by polynomial noise for nonlinear differential systems. Sci China Info Sci. Vol 61 (2018), no. 7, 61:70215 PDF

  127. Z.-Q. Chen, Y.-X. Ren and R. Song: $L\log L$ criterion for a class of multitype superdiffusions with non-local branching mechanisms. Sci. China Math., Vol 62 (2019), 1439--1462 PDF

  128. Y.-X. Ren, R. Song and Z. Sun: A 2-spine decomposition of the critical Galton-Waston tree and a probabilistic proof of Yaglom's theorem. Elect Commun. Probab. Vol. 23(2018), No. 42, 1--12 PDF

  129. T. Grzywny, H. Park and R. Song: Spectral heat content for Levy processes. Math. Nachr. Vol. 292 (2019), 805--825 PDF

  130. P. Chen, R. Song, L. Xie and Y. Xie: Heat kernel estimates for Dirichlet fractional Laplacian with gradient perturbation. J. Korean Math. Soc. Vol. 56(2019), 91--111 PDF

  131. Y.-X. Ren, R. Song and R. Zhang: Supercritical superprocesses: proper normalization and non-degenerate strong limit. Sci. China Math., Vol 62 (2019), 1519--1552 PDF

  132. Y.-X. Ren, R. Song and R. Zhang: On properties of a class of strong limits of supercritical superprocesses. Sci. Sin. Math. Vol 49 (2019), 485--504 PDF

  133. R. Song, Y. Xiao and X. Yang: Uniform Hausdorff dimension result for the inverse images of stable Levy processes. Elect. Commun. Probab.Vol. 23(2018) No. 75, 1--10. PDF

  134. H. Park and R. Song: Small time asymptotics of spectral heat contents for subordinate killed Brownian motions related to isotropic alpha-stable processes. Bull. London Math. Soc. Vol. 51 (2019), 371--384 PDF

  135. P. Kim, R. Song and Z. Vondracek: On the boundary theory of subordinate killed Levy processes. Pot. Anal. Vol 53 (2020), 131--181 PDF

  136. R. Song, L. Xie and Y. Xie: Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradient. Sci. China Math., Vol 63 (2020), 2343--2362 PDF

  137. Y.-X. Ren, R. Song and Z. Sun: Spine decompositions and limit theorems for a class of critical superprocesses. Acta. Appl. Math. Vol. 165 (2020), 91-131 PDF

  138. R. Song and L. Xie: Well-posedness and long time behavior of singular Langevin stochastic differential equations. Stoch. Proc. Appl. Vol. 130 (2020), 1879--1896 PDF

  139. Y.-X. Ren, R. Song Z. Sun and J. Zhao Stable central limit theorems for super Ornstein-Uhlenbeck processes. Elect. J Probab., Vol. 24 (2019), No. 141, 1--42 PDF

  140. Y.-X. Ren, R. Song and Z. Sun Limit theorems for a class of critical superprocesses with stable branching. Stoch. Proc. Appl. Vol. 130 (2020), 4358--4391 PDF

  141. R. Herrell, R. Song, D. Wu and Y. Xiao Sharp space-time regulaity of the solution to stochastic heat equation driven by fractional-colored noise. Stoch. Anal. Appl. Vol. 38 (2020), 747--768 PDF

  142. W. Liu, R. Song and L. Xie Gradient estimates for the fundamental solution of Levy type operators. Advances in Nonlinear Analysis, Vol. 9 (2020), 1453--1462 PDF

  143. S. Cho, P. Kim, R. Song and Z. Vondracek Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings. J. Math. Pures Appl. Vol. 143 (2020), 208--256 PDF

  144. R. Liu, Y.-X. Ren, R. Song and Z. Sun Quasi-staionary distributions for subcritical superprocesses.Stoch. Proc. Appl. Vol. 132 (2021), 108--134 PDF

  145. Y.-X. Ren and R. Song Spine decompsoition for branching Markov processes and its applications. Sci. Sin. Math. Vol. 51 (2021), 1819--1844 PDF

  146. Y.-X. Ren, R. Song and T. Yang: Spine decomposition and LlogL criterion for superprocesses with non-local branching mechanisms. ALEA (Latin American Journal of Probability and Mathematical Statistics), Vol. 19 (2022), 163--208. PDF

  147. Y.-X. Ren, R. Song and Rui Zhang: The extremal process of super-Brownian motion. Stoch. Proc. Appl. Vol. 137 (2021), 1--34 PDF

  148. Y.-X. Ren, R. Song, Z, Sun and J. Zhao Stable central limit theorems for super Ornstein-Uhlenbeck processes, II. Acta Math. Sinica, Vol 38 (2022), 487--498 PDF

  149. Q. Huang, J. Duan and R. Song: Homogenization of nonlocal partial differential equations realted to partial differential equations with Levy noise. Bernoulli, Vol 28 (2022), 1648--1674. PDF

  150. P. Wu, Z. Yang, H. Wang and R. Song Time fractional stochastic differential equations driven by pure jump Levy noise. J. Math. Anal. Appl., Vol 504 (2021), 125412. PDF

  151. P. Kim, R. Song and Z. Vondracek On potential theory of Markov processes with jump kernels decaying at the boundary. To appear in Potential Analysis PDF

  152. S. Cho, P. Kim, R. Song and Z. Vondracek Heat kernel estimates for subordinate Markov processes and their applications. J. Diff. Equations, Vol. 316 (2022), 28--93 PDF

  153. H. Park and R. Song Spectral heat content for \alpha-stable processes in C^{1, 1} open sets, Elect. J. Probab., Vol 27 (2022), No. 22, 1--19 PDF

  154. Y.-X. Ren, R. Song and F. Yang Branching Brownian motion in a periodic environment and uniqueness of pulsating travelling waves. To appear in Adv. Appl. Probab. PDF

  155. P. Kim, R. Song and Z. Vondracek Sharp two-sided Green function estimates for Dirichlet forms degenerate at the boundary. To appear in J. European Math. Soc. PDF

  156. R. Liu, Y.-X. Ren and R. Song Convergence rate for a class of supercritical superprocesses. Stoch. Proc. Appl. Vol 154 (2022), 286--327. PDF

  157. D. Kinzebulatov, Y. A. Semenov and R. Song Stochastic transport equation with singular drift. To appear in AIHP PDF

  158. P. Kim, R. Song and Z. Vondracek Positive self-similar Markov processes obtained by resurrection. To appear in Stoch. Proc. Appl. PDF