26. LlogL criterion for a class of super-diffusions
J. Appl. Probab., 2009, 46(2009), 479-496. (With Rongli Liu and Renming Song)
27. LlogL criterion for supercritical branching Hunt processes
J. Theor. Probab. 24 (2011), 170--193. (With Rongli Liu and Renming Song)
28. Limit Theorem for Derivative Martingale at Criticality w.r.t Branching Brownian Motion
Statist. Probab. Lett. 81(2)(2011): 195-200. (with Ting Yang)
29. Supercritical super-Brownian motion with a general branching mechanism and travelling waves
Annales de l’Institut Henri Poincaré,48(3)(2012): 661-687. (with A.E. Kyprianou, R.-L. Liu and A. Murillo-Salas)
30. $\mathbb{N}$-measure for continuous sate branching processes and its application
Front. Math. China 6(6)(2011): 1045–1058. (with Weijuan Chu)
31. A Large Deviation for Occupation Time of Critical Branching $\alpha$-Stable Process
Science
32. Backbone decomposition for continuous-state branching processes with immigration.
Statist. Probab. Lett. 82 (2012): 139–144. (with A.E. Kyprianou)
33. Strong law of
large numbers for a class of superdiffusions
Acta Applicanda Mathematicae,123(1)(2013): 73-97. (with Rongli Liu and Renming Song)
34.Small value probabilities for supercritical branching processes with Immigration
Bernoulli,20(1)(2014): 377-393. (with Weijuan Chu and Wenbo V. Li)
35.
Small
value probabilities for continuous state branching processes with immigration
Science
36. A Srong Law of Large Numbers for Super-stable Processes
Stoch. Proc. Appl. 121(1)(2014): 505-521. (with Michael A. Kouritzin)
37. Multitype Branching Brownian Motion and Traveling Waves
Adv. Appl. Probab. 46(1)(March 2014): 217-240 . (with Ting Yang)
38. Central Limit
Theorems for Super Ornstein-Uhlenbeck Processes
Acta Applicandae Mathematicae 130(1)(2014): 9-49. (with Renming Song and Rui Zhang)
39. Central limit theorems for supercritical branching Markov processes
J. Funct. Anal. 266(2014): 1716-1756. (with Renming Song and Rui Zhang)
Annales de l’Institut Henri Poincaré , 52(1)(2016): 448–482. (with Janos Englander and Renming Song)
41. The backbone decomposition for spatially dependent supercritical superprocesses
Lecture Notes in Mathematics 2123, Séminaire de Probabilités , 46(2014): 33-59. (with A.E. Kyprianou and J-L. Pérez)
42. Conditional limit theirems for critical continuous-state branching processes
Science China Mathematics, 57(12)(2014): 2577–2588.(with Ting Yang and Guo-Huan Zhao)
43. Central limit theorems for supercritical superprocesses
Stochastic Processes and Their Applications, 125(2015) 428-457. (with Renming Song and Rui Zhang)
44. Strong law of
large numbers for supercritical superprocesses under second moment condition
Front. Math. China, 10(4)(2015): 807–838. (with Zhen-Qing Chen, Renming Song and Rui Zhang)
45. Limit theorems for some critical
superprocesses
Illinois Journal of Mathematics, 59(1)(2015):235–276. (with Renming Song and Rui Zhang)
46. Central limit theorems for supercritical
branching nonsymmetric Markov processes
Ann. Probab., 45(1)(2017): 564–623. (with Renming Song and Rui Zhang)
47. Law of large numbers for branching
symmetric Hunt processes with measure-valued branching rates
J. Theoret. Probab. 30(3)(2017): 898–931. (with Zhen-Qing Chen and Ting Yang)
Potential Anal. 45(3)(2016), 509–537. (with Zhen-Qing Chen and Ting Yang)
49. Functional central limit theorems for
supercritical superprocesses
Acta Applicandae Mathematicae 147(1)(2017):137–175. (with Renming Song and Rui Zhang)
50. William
decomposition for superprocesses
Electron. J. Probab. 23(2018), No. 23, 1-33. (with Renming Song and Rui Zhang).
51. Almost sure growth of supercritical multi-type
continuous state branching process
ALEA, Lat. Am. J. Probab. Math. Stat. 15(2018), 409-428. (with A.E. Kyprianou and Sandra Palau).
52. Llog L criterion for a class of multitype superdiffusions with non-local
branching mechanisms
Science China Mathematics 62(8)(2019): 1439-1462 (with Zhen-Qing Chen, and Renming Song).
53. Skeleton
decomposition and law of large numbers for supercritical superprocesses
Acta Applicandae Mathematicae 159(1)(2019) 225-285 (with Zhen-Qing Chen, and Ting Yang).
Electron. Commun.
Probab. Volume
23 (2018), paper no. 42, 12 pp. (with
Renming Song and Zhenyao
Sun).
55. Supercritical superprocesses:
proper normalization and non-degenerate strong limit
Science China Mathematics 62(8)(2019): 1519-1552 (with Renming Song and Rui Zhang).
56. Spine
decompositions and limit theorems for a class of critical superprocesses
Acta Applicandae Mathematicae 165(2020): 91-131 (with Renming Song and Zhenyao Sun).
57. Stable central limit theorems for super
Ornstein-Uhlenbeck processes
Electron. J. Probab. 24 (2019), paper no. 141, 1-42. (with Renming Song, Zhenyao Sun and Jianjie Zhao)
58. Limit theorems for a class of critical
superprocesses with stable branching
Stoch. Proc. Appl. 130 (2020): 4358-4391 (with Renming Song and Zhenyao Sun)
59. Quasi-stationary
distributions for subcritical superprocesses
Stoch. Proc. Appl. 132 (2021): 108–134 (with Rongli Liu, Renming Song and Zhenyao Sun)
60.
Spine decomposition and LlogL criterial
for superprocesses with non-local branching mechanisms
ALEA, Lat. Am. J. Probab. Math. Stat. 19(1)(2022): 163–208 (with Renming Song and Ting Yang).
61. The extremal process of super-Brownian motion
Stoch. Proc. Appl. 137 (2021): 1–34 (with Renming Song and Rui Zhang)
62. Stable
central limit theorems for super Ornstein-Uhlenbeck processes, II
Acta Mathematica Sinica 38(3)(2022): 487–498 (with Renming Song, Zhenyao Sun and Jianjie Zhao)
Stoch. Proc. Appl. 150 (2022): 50–90 (with Jie Xiong, Xu Yang and Xiaowen Zhou)
64. Convergence rate for a class of
supercritical superprocesses
Stoch. Proc. Appl. 154 (2022): 286–327 (with Rongli Liu, Renming Song)
65. The Seneta-Heyde scaling for
supercritical super-Brownian motionon
Annales de l’Institut Henri Poincaré 60(2)(2024): 1387-1417 (with Haojie Hou, Renming Song)
66. Subcritical superprocesses conditioned on
non-extinction
Stoch. Proc. Appl. 163 (2023): 498-534 (with Rongli Liu, Renming Song and Zhenyao Sun)
67. Branching Brownian motion in a periodic
environment and existence of pulsating travelling waves
Electron. J. Probab. 28 (2023) paper no. 72, 1-50. (with Renming Song and Fan Yang)
68. Branching Brownian motion in a periodic
environment and uniqueness of pulsating travelling waves
Adv. Appl. Probab. 55(2) (June 2023), 510–548 (with Renming Song and Fan Yang)
Electron. J. Probab. 28 (2023), paper no. 65, 1-63. (with Haojie Hou, Renming Song)
J. Theoret. Probab. 37(3)(2024), 2457–2507 (with Ting Yang)
71. Weak
convergence of the extremes of
branching Levy processes with regularly varying tails
J. Appl. Probab. 61(2)(June, 2024), 622-643. (with Renming Song, Rui Zhang)
72. Lower
deviation for the supremum of the support of super-Brownian motion
J. Theoret. Probab. 37(2)(2024), 1079-1123. (with Renming Song, Rui Zhang)
73. Extremal process for irreducible multitype branching Brownian
motion
ALEA, Lat. Am. J. Probab. Math. Stat. 21(2)(September 2024): 1417-1473. (with Haojie Hou, Renming Song)
74. Double jump in the maximum of two-type reducible branching Brownian
motion
To appear in Annales de l’Institut Henri Poincaré (with Heng Ma)
75. The
extremal process of super-Brownian motion: a probabilistic approach via
skeletons
Electron. J. Probab. 29 (2024), paper no. 23, 1-41. (with Ting Yang, Rui Zhang)
76. Coalescence
times for critical Galton-Watson processes with immigration
Statist. Probab. Lett. 210 (July, 2024) 110-121(with Rong-Li Liu and Yingrui Wang)
77. Asymptotic expansion for branching killed Brownian motion with drift
To appear in Electron. J. Probab. (with Haojie Hou, Renming Song)
78. Stationary measures and the continuous-state branching process conditioned on extinction
J. Appl. Probab. Published on line (2024) //doi.org/10.1017/jpr.2024.75 (with Rongli Liu, Ting Yang)
79. Tail probability of maximal displacement in critical branching Levy process with stable branching
Bernoulli 31(1)(Feb. 2025), 630–648 (with Haojie Hou, Yiyang Jiang and Renming Song)
80. Asymptotic expansions for additive measures of branching Brownian motions
J. Theoret. Probab. 37(4)(June, 2024), 3355-3394 (with Haojie Hou and Renming Song)
81.
1-stable
fluctuation of the derivative martingale of branching random walk
Stoch. Proc. Appl. 172(2024), Paper No. 104338, 1-32 (with Haojie Hou and Renming Song)
Preprints
(with Heng Ma)
83. Tails of extinction time and maximal
displacement for critical branching killed Levy process
(with Haojie Hou and Renming Song)
84. Asymptotic behaviours of subcritical
branching killed Brownian motions with drift
(with Haojie Hou, Renming Song and Yaping Zhu)
85. Local properties for 1-dimensional
critical branching Levy process
(with Haojie Hou, Renming Song)
Paper in Chinese:
1. 刘荣丽, 任艳霞: 分支过程及相关模型的脊柱分解与应用,数学进展, 43(2)(2014):183-205
英文版见: Progress in
Math., 1(1)(2017): 15-46
2. 任艳霞, 宋仁明, 张蕊: 上临界超过程的一类强极限的性质,中国科学: 数学, 2019,
49: 485-504.
英文版见:
arXiv:1803.02973
3. 任艳霞, 宋仁明: 分枝马氏过程的脊柱分解与其应用,中国科学: 数学, 2021,
51(11): 1819-1844.
英文版见:
arXiv:2007.12495