List of Publications
-
R. Song:
Regular fuzzy numbers. J. Hebei Univ., (Natural Sci. Ed.),
Vol. 3, No. 2 (1983), 86-87.
-
R. Song:
On the extension of a class of fuzzy measures.
J. Hebei Univ., (Natural Sci. Ed.), Vol. 4, No. 2 (1984), 97-101.
-
R. Song:
On the (N)--fuzzy integral. Fuzzy Math., Vol. 5. No. 3 (1985),
91-106.
-
Q. Yang and R. Song:
Further discussion of the pan-integral on
fuzzy measure spaces. Fuzzy Math., Vol. 5. No. 4 (1985), 27-36.
-
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.
-
R. Song:
A note on fuzzy measures of fuzzy subsets.
Fuzzy Math., Vol. 6, No. 3 (1986), 13-14.
-
Z. Ma and R. Song:
Probabilistic approach to Neumann
Problem with infinite gauge. Acta Math. Appl. Sinica,
Vol. 4 (1988), 30--40.
PDF
-
R. Song:
Probabilistic approach to the Dirichlet problem of
second order elliptic PDE. Acta Math. Appl. Sinica,
Vol. 5 (1989), 137--147.
PDF
-
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.
-
R. Song:
Probabilistic approach to the third boundary value
problem. J. of Hebei Univ., (Natural Sci. Ed.),
Vol. 9, No. 1 (1989), 85--100.
-
R. Song:
On a class of special Markov processes.
J. Hebei Univ., (Natural Sci. Ed.), Vol. 9, No. 3
(1989), 1-8.
-
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.
-
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.
-
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
-
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.
-
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
-
R. Song:
Probabilistic approach to the Dirichlet problem of
perturbed stable processes. Probab. Th. rel. Fields,
Vol. 95 (1993), 371--389.
PDF
-
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
-
M. Rao, H. Sikic and R. Song:
Application of Carleson's theorem to
wavelet inversions. Control and Cybern. Vol. 23 (1994),
761-771.
PDF
-
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
-
R. Song:
Feynman-Kac semigroups with discontinuous additive functionals.
J. Theor. Probab., Vol. 8 (1995), 727-762.
PDF
-
P. Olsen and R. Song:
Diffusion of directed polymers in a strong
random environment. J. Stat. Physics, Vol. 83 (1996),
727-738.
PDF
-
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
-
Z.-Q. Chen and R. Song:
Intrinsic ultracontractivity and conditional
gauge for symmetric stable processes. J. Funct. Anal.,
Vol. 150 (1997), 204-239.
PDF
-
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
-
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
-
J. Conlon and R. Song:
Gaussian limit theorems for diffusion
processes and an application. Stoch. Proc.
Appl., Vol. 81 (1999), 103--128.
-
R. Song and J.-M. Wu:
Boundary Harnack inequality for symmetric
stable processes. J. of Funct. Anal., Vol. 168
(1999), 403-427.
PDF
-
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
-
J. Conlon and R. Song:
Random Walks associated with non divergence form
elliptic equations. J. Theor. Probab., Vol. 13 (2000),
427-489.
-
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
-
Z.-Q. Chen and R. Song:
General gauge and conditional gauge theorems.
Ann. Probab., Vol. 30 (2002), 1313-1339.
PDF
-
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.
-
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
-
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
-
Z.-Q. Chen and R. Song:
Hardy inequality for censored stable processes.
Tohoko Math. J., Vol. 55(2003), 439-450.
PDF
-
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
-
R. Song and Z. Vondracek:
Harnack inequality for some classes of Markov processes.
Math. Z. Vol. 246, No. 1-2 (2004), 177--202.
PDF
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
Z. Chen and R. Song:
Continuity of eigenvalues for Subordinate Processes in Domains.
Math. Z., Vol. 252, No. 1 (2006), 71--89.
PDF
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
P. Kim and R. Song:
Potential Theory of truncated stable processes.
Math. Z., Vol. 256, No. 1 (2007), 139--173.
PDF
-
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
-
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
-
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
-
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
-
P. Kim and R. Song:
Boundary behavior of harmonic functions for truncated stable
processes. J. Theoret. Probab., Vol. 21 (2008), 287--321.
PDF
-
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
-
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
-
P. Kim and R. Song:
Intrinsic ultracontractivity of non-symmetric diffusion
semigroups in bounded domains. Tohoku Math. J., Vol. 60 (2008),
527--547.
PDF
-
R. Song and Z. Vondracek:
On the Relationship between subordinate killed and killed subordinate processes
Elect. Commun. Probab.,Vol. 13 (2008), 325--336
PDF
-
P. Kim and R. Song:
Intrinsic ultracontractivity for non-symmetric Levy processes. Forum Math., Vol. 21 (2009), 43--66.
PDF
-
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
-
P. Kim, R. Song and Z. Vondracek:
Boundary Harnack Principle for Subordinate Brownian Motions. Stoch. Proc.
Appl., Vol. 119 (2009), 1601--1631.
PDF
-
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
-
R. Song and Z. Vondracek:
Potential theory of subordinate Brownian motion. In "Lecture Notes in
Math., Vol. 1980", 2009.
PDF
-
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
-
R. Song and Z. Vondracek:
Some remarks on special subordinators. Rocky Mountain J. of Math., Vol. 40
(2010), 321--337.
PDF
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
P. Kim, R. Song and Z. Vondracek:
On harmonic functions for trace processes. Math. Nach., Vol. 284 (2011), 1889--1902.
PDF
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
P. Kim and R. Song:
Stable process with singular drift. Stoch. Proc. Appl. Vol. 124 (2014) 2479--2516.
PDF
-
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
-
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
-
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
-
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
-
P. Kim, R. Song and Z. Vondracek:
Martin boundary for some symmetric Levy processes.
Festschrift Masatoshi Fukushima, pp. 307--342.
PDF
-
H. Park and R. Song
Trace estimates for relativistic stable processes.
Potential Analysis, Vol. 41 (2014), 1273--1291.
PDF
-
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
-
Y.-X. Ren, R. Song and R. Zhang:
Central Limit Theorems for Supecritical Superrocesses. Stoch. Proc. Appl. Vol. 125 (2015), 428--457
PDF
-
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
-
Y.-X. Ren, R. Song and R. Zhang:
Limit theorems for some critical superprocesses. Illinois J. Math. Vol. 59 (2015), 235--276.
PDF
-
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
-
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
-
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
-
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
-
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
-
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
-
Y.-X. Ren, R. Song and R. Zhang:
Functional central limit theorems for supercritical superprocesses. Acta Appl. Math.
Vol. 147 (2017), 137--175.
PDF
-
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
-
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
-
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
-
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
-
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
-
P. Kim, R. Song and Z. Vondracek:
Potential theory of subordinate killed Brownian motions. Trans. Amer. Math. Soc. Vol. 371 (2019), 3917--3969
PDF
-
Y.-X. Ren, R. Song and R. Zhang:
Williams decomposition for superprocesses
Elect J Probab. Vol 23 (2018), no. 23, 1--33.PDF
-
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
-
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
-
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
-
T. Grzywny, H. Park and R. Song:
Spectral heat content for Levy processes. Math. Nachr. Vol. 292 (2019), 805--825
PDF
-
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
-
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
-
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
-
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
-
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
-
P. Kim, R. Song and Z. Vondracek:
On the boundary theory of subordinate killed Levy processes. Pot. Anal. Vol 53 (2020), 131--181
PDF
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
Y.-X. Ren and R. Song
Spine decompsoition for branching Markov processes and its applications. To appear in Sci. Sin. Math.
PDF
-
Y.-X. Ren, R. Song and T. Yang:
Spine decomposition and LlogL criterion for superprocesses with non-local branching mechanisms.
To appear in ALEA (Latin American Journal of Probability and Mathematical Statistics)
PDF