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Renming Song - Publications

Affiliations: 
University of Illinois, Urbana-Champaign, Urbana-Champaign, IL 
Area:
Mathematics
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Year Citation  Score
2020 Ren YX, Song R, Sun Z. Limit theorems for a class of critical superprocesses with stable branching Stochastic Processes and Their Applications. 130: 4358-4391. DOI: 10.1016/J.Spa.2020.01.001  0.334
2020 Song R, Xie L, Xie Y. Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradients Science China-Mathematics. 1-20. DOI: 10.1007/S11425-018-9472-X  0.336
2020 Kim P, Song R, Vondraček Z. On the Boundary Theory of Subordinate Killed Lévy Processes Potential Analysis. 53: 131-181. DOI: 10.1007/S11118-019-09762-2  0.44
2020 Ren YX, Song R, Sun Z. Spine Decompositions and Limit Theorems for a Class of Critical Superprocesses Acta Applicandae Mathematicae. 165: 91-131. DOI: 10.1007/S10440-019-00243-7  0.366
2019 Ren YX, Song R, Sun Z, Zhao J. Stable central limit theorems for super ornstein-uhlenbeck processes Electronic Journal of Probability. 24: 141. DOI: 10.1214/19-Ejp396  0.392
2019 Park H, Song R. Small time asymptotics of spectral heat contents for subordinate killed Brownian motions related to isotropic α‐stable processes Bulletin of the London Mathematical Society. 51: 371-384. DOI: 10.1112/Blms.12235  0.347
2019 Ren Y, Song R, Zhang R. Supercritical superprocesses:Proper normalization and non-degenerate strong limit Science China-Mathematics. 62: 1519-1552. DOI: 10.1007/S11425-018-9402-4  0.353
2019 Grzywny T, Park H, Song R. Spectral heat content for Lévy processes Mathematische Nachrichten. 292: 805-825. DOI: 10.1002/Mana.201800035  0.343
2018 Kim P, Song R, Vondraček Z. Accessibility, Martin boundary and minimal thinness for Feller processes in metric measure spaces Revista Matematica Iberoamericana. 34: 541-592. DOI: 10.4171/Rmi/995  0.399
2018 Chen ZQ, Song R, Zhang X. Stochastic flows for Lévy processes with Hölder drifts Revista Matematica Iberoamericana. 34: 1755-1788. DOI: 10.4171/Rmi/1042  0.388
2018 Song R, Xiao Y, Yang X. Uniform Hausdorff dimension result for the inverse images of stable Lévy processes Electronic Communications in Probability. 23. DOI: 10.1214/18-Ecp180  0.305
2018 Ren YX, Song R, Sun Z. A 2-spine decomposition of the critical Galton-Watson tree and a probabilistic proof of Yaglom’s theorem Electronic Communications in Probability. 23. DOI: 10.1214/18-Ecp143  0.307
2018 Wang X, Duan J, Li X, Song R. Numerical algorithms for mean exit time and escape probability of stochastic systems with asymmetric Lévy motion Applied Mathematics and Computation. 337: 618-634. DOI: 10.1016/J.Amc.2018.05.038  0.312
2018 Feng L, Li S, Song R, Li Y. Suppression of explosion by polynomial noise for nonlinear differential systems Science in China Series F: Information Sciences. 61: 70215. DOI: 10.1007/S11432-017-9340-4  0.324
2018 Kim P, Song R, Vondraček Z. Heat Kernels of Non-symmetric Jump Processes: Beyond the Stable Case Potential Analysis. 49: 37-90. DOI: 10.1007/S11118-017-9648-4  0.397
2017 Ren YX, Song R, Zhang R. Central limit theorems for supercritical branching nonsymmetric Markov processes Annals of Probability. 45: 564-623. DOI: 10.1214/14-Aop987  0.4
2017 Kim P, Song R, Vondraček Z. Scale Invariant Boundary Harnack Principle at Infinity for Feller Processes Potential Analysis. 47: 337-367. DOI: 10.1007/S11118-017-9617-Y  0.368
2016 Kim P, Song R, Vondraček Z. Martin boundary of unbounded sets for purely discontinuous Feller processes Forum Mathematicum. 28: 1067-1085. DOI: 10.1515/Forum-2015-0233  0.417
2016 Chen ZQ, Kim P, Song R. Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components Journal Fur Die Reine Und Angewandte Mathematik. 2016: 111-138. DOI: 10.1515/Crelle-2013-0090  0.4
2016 Engländer J, Ren YX, Song R. Weak extinction versus global exponential growth of total mass for superdiffusions Annales De L'Institut Henri Poincare (B) Probability and Statistics. 52: 448-482. DOI: 10.1214/14-Aihp645  0.352
2016 Kim P, Song R, Vondraček Z. Minimal thinness with respect to symmetric Lévy processes Transactions of the American Mathematical Society. 368: 8785-8822. DOI: 10.1090/Tran/6613  0.35
2016 Kim P, Song R, Vondraček Z. Minimal thinness with respect to subordinate killed Brownian motions Stochastic Processes and Their Applications. 126: 1226-1263. DOI: 10.1016/J.Spa.2015.10.016  0.364
2016 Ren YX, Song R, Zhang R. Functional Central Limit Theorems for Supercritical Superprocesses Acta Applicandae Mathematicae. 1-39. DOI: 10.1007/S10440-016-0072-3  0.401
2015 Li XL, Song RX, Lin X, Ma RX, Bai F, Yu J. Comparison of Calycosin and Irbesartan for their impact on renin angiotensin system in human umbilical vein endothelial cell. Minerva Medica. 105: 9-16. PMID 25423498  0.396
2015 Ren YX, Song R, Zhang R. Limit theorems for some critical superprocesses Illinois Journal of Mathematics. 59: 235-276. DOI: 10.1215/Ijm/1455203166  0.331
2015 Ren YX, Song R, Zhang R. Central Limit Theorems for Supercritical Superprocesses Stochastic Processes and Their Applications. 125: 428-457. DOI: 10.1016/J.Spa.2014.09.014  0.358
2015 Chen ZQ, Ren YX, Song R, Zhang R. Strong law of large numbers for supercritical superprocesses under second moment condition Frontiers of Mathematics in China. 10: 807-838. DOI: 10.1007/S11464-015-0482-Y  0.344
2014 Chen ZQ, Kim P, Song R. Dirichlet heat kernel estimates for rotationally symmetric Lévy processes Proceedings of the London Mathematical Society. 109: 90-120. DOI: 10.1112/Plms/Pdt068  0.47
2014 Chen ZQ, Kim P, Song R. Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation Transactions of the American Mathematical Society. 367: 5237-5270. DOI: 10.1090/S0002-9947-2014-06190-4  0.469
2014 Kim P, Song R. Stable process with singular drift Stochastic Processes and Their Applications. 124: 2479-2516. DOI: 10.1016/J.Spa.2014.03.006  0.405
2014 Kim P, Song R, Vondraček Z. Global uniform boundary Harnack principle with explicit decay rate and its application Stochastic Processes and Their Applications. 124: 235-267. DOI: 10.1016/J.Spa.2013.07.007  0.41
2014 Ren YX, Song R, Zhang R. Central limit theorems for supercritical branching Markov processes Journal of Functional Analysis. 266: 1716-1756. DOI: 10.1016/J.Jfa.2013.10.015  0.366
2014 Zhang JF, Li SM, Song R. Quasi-stationarity and quasi-ergodicity of general Markov processes Science China-Mathematics. 57: 2013-2024. DOI: 10.1007/S11425-014-4835-X  0.4
2014 Park H, Song R. Trace Estimates for Relativistic Stable Processes Potential Analysis. 41: 1273-1291. DOI: 10.1007/S11118-014-9423-8  0.315
2014 Kim P, Song R. Dirichlet Heat Kernel Estimates for Stable Processes with Singular Drift In Unbounded C1,1 Open Sets Potential Analysis. 41: 555-581. DOI: 10.1007/S11118-013-9383-4  0.439
2014 Kim P, Song R, Vondraček Z. Boundary Harnack Principle and Martin Boundary at Infinity for Subordinate Brownian Motions Potential Analysis. 41: 407-441. DOI: 10.1007/S11118-013-9375-4  0.358
2014 Ren Y, Song R, Zhang R. Central Limit Theorems for Super Ornstein-Uhlenbeck Processes Acta Applicandae Mathematicae. 130: 9-49. DOI: 10.1007/S10440-013-9837-0  0.392
2013 Kim P, Song R, Vondraček Z. Potential theory of subordinate Brownian motions with Gaussian components Stochastic Processes and Their Applications. 123: 764-795. DOI: 10.1016/J.Spa.2012.11.007  0.43
2013 Kim P, Park H, Song R. Sharp Estimates on the Green Functions of Perturbations of Subordinate Brownian Motions in Bounded \boldsymbol{\kappa}-Fat Open Sets Potential Analysis. 38: 319-344. DOI: 10.1007/S11118-012-9278-9  0.448
2013 Liu R, Ren Y, Song R. Strong Law of Large Numbers for a Class of Superdiffusions Acta Applicandae Mathematicae. 123: 73-97. DOI: 10.1007/S10440-012-9715-1  0.355
2012 Kim P, Song R, Vondraček Z. Minimal thinness for subordinate Brownian motion in half-space Annales De L'Institut Fourier. 62: 1045-1080. DOI: 10.5802/Aif.2716  0.432
2012 Chen ZQ, Kim P, Song R. Global heat kernel estimates for $\Delta+\Delta^{\alpha/2}$ in half-space-like domains Electronic Journal of Probability. 17: 1-32. DOI: 10.1214/Ejp.V17-1751  0.345
2012 Chen ZQ, Kim P, Song R. Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation Annals of Probability. 40: 2483-2538. DOI: 10.1214/11-Aop682  0.437
2012 Chen ZQ, Kim P, Song R. Sharp heat kernel estimates for relativistic stable processes in open sets Annals of Probability. 40: 213-244. DOI: 10.1214/10-Aop611  0.35
2012 Kim P, Song R, Vondraček Z. Two-sided Green function estimates for killed subordinate Brownian motions Proceedings of the London Mathematical Society. 104: 927-958. DOI: 10.1112/Plms/Pdr050  0.451
2012 Chen ZQ, Kim P, Song R, Vondraček Z. Boundary Harnack principle for Δ+Δ^{/2} Transactions of the American Mathematical Society. 364: 4169-4205. DOI: 10.1090/S0002-9947-2012-05542-5  0.43
2012 Chen ZQ, Kim P, Song R. Global heat kernel estimate for relativistic stable processes in exterior open sets Journal of Functional Analysis. 263: 448-475. DOI: 10.1016/J.Jfa.2012.04.012  0.388
2012 Bo L, Song R, Tang D, Wang Y, Yang X. Levy Risk Model with Two-Sided Jumps and a Barrier Dividend Strategy Insurance Mathematics & Economics. 50: 280-291. DOI: 10.1016/J.Insmatheco.2011.12.002  0.334
2012 Chen ZQ, Kim P, Song R. Global Heat Kernel Estimates for Relativistic Stable Processes in Half-space-like Open Sets Potential Analysis. 36: 235-261. DOI: 10.1007/S11118-011-9228-Y  0.37
2011 Chen A, Feng L, Song R. On the monitoring error of the supremum of a normal jump diffusion process Journal of Applied Probability. 48: 1021-1034. DOI: 10.1239/Jap/1324046016  0.3
2011 Chen ZQ, Kim P, Song R. Heat kernel estimates for Δ+Δα/2 in C1, 1 open sets Journal of the London Mathematical Society-Second Series. 84: 58-80. DOI: 10.1112/Jlms/Jdq102  0.439
2011 Chen ZQ, Kim P, Song R. Green function estimates for relativistic stable processes in half-space-like open sets Stochastic Processes and Their Applications. 121: 1148-1172. DOI: 10.1016/J.Spa.2011.01.004  0.346
2011 Liu RL, Ren YX, Song R. Llog L Condition for Supercritical Branching Hunt Processes Journal of Theoretical Probability. 24: 170-193. DOI: 10.1007/S10959-010-0322-7  0.353
2011 Kim P, Song R, Vondraček Z. On harmonic functions for trace processes Mathematische Nachrichten. 284: 1889-1902. DOI: 10.1002/Mana.200910008  0.33
2010 Chen ZQ, Kim P, Song R. Heat kernel estimates for the Dirichlet fractional Laplacian Journal of the European Mathematical Society. 12: 1307-1329. DOI: 10.4171/Jems/231  0.357
2010 Song R, Vondraček Z. Some Remarks on Special Subordinators Rocky Mountain Journal of Mathematics. 40: 321-337. DOI: 10.1216/Rmj-2010-40-1-321  0.305
2010 Chen ZQ, Kim P, Song R, Vondraček Z. Sharp Green function estimates for $\Delta+ \Delta^{\alpha /2}$ in $C^{1,1}$ open sets and their applications Illinois Journal of Mathematics. 54: 981-1024. DOI: 10.1215/Ijm/1336049983  0.468
2010 Kim P, Song R, Vondraček Z. On the potential theory of one-dimensional subordinate Brownian motions with continuous components Potential Analysis. 33: 153-173. DOI: 10.1007/S11118-009-9163-3  0.42
2010 Kyprianou AE, Rivero V, Song R. Convexity and Smoothness of Scale Functions and de Finetti's Control Problem Journal of Theoretical Probability. 23: 547-564. DOI: 10.1007/S10959-009-0220-Z  0.315
2010 Chen ZQ, Kim P, Song R. Two-sided heat kernel estimates for censored stable-like processes Probability Theory and Related Fields. 146: 361-399. DOI: 10.1007/S00440-008-0193-3  0.42
2009 Ren YX, Song R, Wang H. A Class Of Stochastic Partial Differential Equations For Interacting Superprocesses On A Bounded Domain Osaka Journal of Mathematics. 46: 373-401. DOI: 10.18910/10952  0.371
2009 Kim P, Song R. Intrinsic Ultracontractivity for Non-symmetric Levy Processes Forum Mathematicum. 21: 43-66. DOI: 10.1515/Forum.2009.003  0.424
2009 Kim P, Song R, Vondraček Z. Boundary Harnack principle for subordinate Brownian motions Stochastic Processes and Their Applications. 119: 1601-1631. DOI: 10.1016/J.Spa.2008.08.003  0.367
2009 Song R, Vondraček Z. Potential theory of subordinate brownian motion Lecture Notes in Mathematics. 1980: 87-176. DOI: 10.1007/978-3-642-02141-1_5  0.384
2008 Kim P, Song R. Intrinsic Ultracontractivity Of Non-Symmetric Diffusion Semigroups In Bounded Domains Tohoku Mathematical Journal. 60: 527-547. DOI: 10.2748/Tmj/1232376165  0.343
2008 Song R, Vondracek Z. On the relationship between subordinate killed and killed subordinate processes Electronic Communications in Probability. 13: 325-336. DOI: 10.1214/Ecp.V13-1388  0.352
2008 Kim P, Song R. Intrinsic ultracontractivity of nonsymmetric diffusions with measure-valued drifts and potentials Annals of Probability. 36: 1904-1945. DOI: 10.1214/07-Aop381  0.413
2008 Song R, Vondraček Z. On suprema of Lévy processes and application in risk theory Annales De L Institut Henri Poincare-Probabilites Et Statistiques. 44: 977-986. DOI: 10.1214/07-Aihp142  0.385
2008 Kim P, Song R. On dual processes of non-symmetric diffusions with measure-valued drifts Stochastic Processes and Their Applications. 118: 790-817. DOI: 10.1016/J.Spa.2007.06.007  0.402
2008 Kim P, Song R. Boundary Behavior of Harmonic Functions for Truncated Stable Processes Journal of Theoretical Probability. 21: 287-321. DOI: 10.1007/S10959-008-0145-Y  0.476
2007 Song R, Vondraček Z. Parabolic Harnack Inequality for the Mixture of Brownian Motion and Stable Process Tohoku Mathematical Journal. 59: 1-19. DOI: 10.2748/Tmj/1176734744  0.418
2007 Kim P, Song R. Estimates on Green functions and Schrodinger-type equations for non-symmetric diffusions with measure-valued drifts Journal of Mathematical Analysis and Applications. 332: 57-80. DOI: 10.1016/J.Jmaa.2006.10.014  0.396
2007 Kim P, Song R. Potential theory of truncated stable processes Mathematische Zeitschrift. 256: 139-173. DOI: 10.1007/S00209-006-0063-6  0.464
2007 Kim P, Song R. Boundary Harnack principle for Brownian motions with measure-valued drifts in bounded Lipschitz domains Mathematische Annalen. 339: 135-174. DOI: 10.1007/S00208-007-0110-6  0.422
2006 Kim P, Song R. Two-sided estimates on the density of Brownian motion with singular drift Illinois Journal of Mathematics. 50: 635-688. DOI: 10.1215/Ijm/1258059487  0.377
2006 Song R. Two-sided Estimates on the Density of the Feynman-Kac Semigroups of Stable-like Processes Electronic Journal of Probability. 11: 146-161. DOI: 10.1214/Ejp.V11-308  0.372
2006 Song R, Vondraček Z. On the monotonicity of a function related to the local time of a symmetric Lévy process Statistics & Probability Letters. 76: 1522-1528. DOI: 10.1016/J.Spl.2006.03.013  0.389
2006 Rao M, Song R, Vondraček Z. Green Function Estimates and Harnack Inequality for Subordinate Brownian Motions Potential Analysis. 25: 1-27. DOI: 10.1007/S11118-005-9003-Z  0.45
2006 Song R, Vondraček Z. Potential Theory of Special Subordinators and Subordinate Killed Stable Processes Journal of Theoretical Probability. 19: 817-847. DOI: 10.1007/S10959-006-0045-Y  0.455
2006 Song R. Estimates on the transition densities of Girsanov transforms of symmetric stable processes Journal of Theoretical Probability. 19: 487-507. DOI: 10.1007/S10959-006-0023-4  0.344
2006 Šikić H, Song R, Vondraček Z. Potential Theory of Geometric Stable Processes Probability Theory and Related Fields. 135: 547-575. DOI: 10.1007/S00440-005-0470-3  0.467
2006 Chen ZQ, Song R. Continuity of eigenvalues of subordinate processes in domains Mathematische Zeitschrift. 252: 71-89. DOI: 10.1007/S00209-005-0845-2  0.348
2005 Song R, Vondraček Z. Harnack Inequality For Some Discontinuous Markov Processes With A Diffusion Part Glasnik Matematicki. 40: 177-187. DOI: 10.3336/Gm.40.1.15  0.34
2005 Chen ZQ, Song R. Two-sided eigenvalue estimates for subordinate processes in domains Journal of Functional Analysis. 226: 90-113. DOI: 10.1016/J.Jfa.2005.05.004  0.395
2004 Song R, Vondracek Z. Sharp Bounds for Green and Jumping Functions of Subordinate Killed Brownian Motions Electronic Communications in Probability. 9: 96-105. DOI: 10.1214/Ecp.V9-1114  0.4
2004 Song R. Sharp bounds on the density, Green function and jumping function of subordinate killed BM Probability Theory and Related Fields. 128: 606-628. DOI: 10.1007/S00440-003-0316-9  0.422
2004 Song R, Vondraček Z. Harnack inequality for some classes of Markov processes Mathematische Zeitschrift. 246: 177-202. DOI: 10.1007/S00209-003-0594-Z  0.369
2003 Chen ZQ, Song R. Hardy Inequality For Censored Stable Processes Tohoku Mathematical Journal. 55: 439-450. DOI: 10.2748/Tmj/1113247482  0.358
2003 Chen ZQ, Song R. Drift transforms and Green function estimates for discontinuous processes Journal of Functional Analysis. 201: 262-281. DOI: 10.1016/S0022-1236(03)00087-9  0.397
2003 Chen ZQ, Song R. Conditional gauge theorem for non-local Feynman-Kac transforms Probability Theory and Related Fields. 125: 45-72. DOI: 10.1007/S004400200219  0.337
2003 Song R, Vondraček Z. Potential theory of subordinate killed Brownian motion in a domain Probability Theory and Related Fields. 125: 578-592. DOI: 10.1007/S00440-002-0251-1  0.431
2002 Chen ZQ, Song R. General gauge and conditional gauge theorems Annals of Probability. 30: 1313-1339. DOI: 10.1214/Aop/1029867129  0.433
2001 Chen ZQ, Fitzsimmons PJ, Song R. Crossing estimates for symmetric Markov processes Probability Theory and Related Fields. 120: 68-84. DOI: 10.1007/Pl00008776  0.321
2000 Chen ZQ, Song R. Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains Illinois Journal of Mathematics. 44: 138-160. DOI: 10.1215/Ijm/1255984957  0.425
2000 Conlon JG, Song R. Random Walks Associated with Non-Divergence Form Elliptic Equations Journal of Theoretical Probability. 13: 427-489. DOI: 10.1023/A:1007893424255  0.378
1999 Conlon JG, Song R. Gaussian limit theorems for diffusion processes and an application Stochastic Processes and Their Applications. 81: 103-128. DOI: 10.1016/S0304-4149(98)00095-7  0.379
1999 Song R, Wu JM. Boundary Harnack Principle for Symmetric Stable Processes Journal of Functional Analysis. 168: 403-427. DOI: 10.1006/Jfan.1999.3470  0.377
1998 Chen ZQ, Song R. Estimates on Green functions and Poisson kernels for symmetric stable processes Mathematische Annalen. 312: 465-501. DOI: 10.1007/S002080050232  0.426
1998 Chen ZQ, Song R. Martin Boundary and Integral Representation for Harmonic Functions of Symmetric Stable Processes Journal of Functional Analysis. 159: 267-294. DOI: 10.1006/Jfan.1998.3304  0.453
1997 Chen ZQ, Song R. Intrinsic ultracontractivity and conditional gauge for symmetric stable processes Journal of Functional Analysis. 150: 204-239. DOI: 10.1006/Jfan.1997.3104  0.407
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