已发表论文

[1] 耦合跳过程的保守性,北京师范大学学报,1994, 30(3): 305-307. [pdf]

[2] 一维马氏链保序耦合的构造,应用概率统计,1996, 12(4): 376-382. [pdf]

[3] 一类距离下的最优耦合,北京师范大学学报,1996, 32(4): 463-467. [pdf]

[4] 跳过程唯一性的一个问题,应用概率统计,1998, 14(1): 45-48. [pdf]

[5] 一维马氏链保序耦合的构造,北京师范大学学报,1998, 34(1): 49-50. [pdf]

[6] 线性组合$Q$矩阵的正则性,北京师范大学学报,1998, 34(3): 292-296. [pdf]

[7] Sufficient and necessary conditions for stochastic comparability of jump processes, Acta Math. Sin., 2000, 43(6): 965-968 (Chinese Edition); 2000, 16(1): 99-102 (English Edition). [pdf1|pdf2]

[8] 最小$q$过程的随机可比性,北京师范大学学报,2000, 36(2): 156-158. [pdf]

[9] Strong ergodicity for single birth processes, J. Applied Prob., 2001, 38(1): 270-277. [pdf]

[10] 生灭过程的变异性,北京师范大学学报,2001, 37(2): 143-146. [pdf]

[11] F-Sobolev inequality for general symmetric forms, Northeast. Math. J.,  2003, 19(2): 133-138. With WANG Feng. [pdf]

[12] 单生过程首中时的各阶矩,北京师范大学学报,2003, 39(4): 430-434. [pdf]

[13] Dual variational formulas for the first Dirichlet eigenvalue on half-line, Science in China, 2003, 33(4): 371-383 (Chinese Edition); 2003, 46(6): 847-861 (English Edition). With CHEN Mufa and ZHAO Xiaoliang. [pdf1|pdf2]

[14] 单生过程击中时与平稳分布,北京师范大学学报,2004, 40(2): 157-161. [pdf]

[15] Exponential ergodicity for single birth processes, J. Applied Prob., 2004, 41(4): 1022-1032. With MAO Yonghua. [pdf]

[16] 一维Brusselator模型,应用概率统计,2005, 21(3): 225-234. 吴波合作. [pdf]

[17] 一维Brusselator模型的一个性质北京师范大学学报2005, 41(6): 575-577. 与吴波合作. [pdf]

[18] 几类单生Q矩阵,北京师范大学学报2006, 42(2): 111-115. 与赵倩倩合作. [pdf]

[19] A class of multidimensional Q-processes, J. Applied Prob., 2007, 44(1): 226-237. With WU Bo. [pdf]

[20] 一类单死过程的遍历性,应用概率统计,2007, 23(4): 377-383. 与张丽华合作. [pdf]

[21] Latala-Oleszkiewicz常数的估计,数学进展,2007, 36(6): 672-678. 与张丽华合作. [pdf]

[22] 几类单生Q矩阵(续),北京师范大学学报, 2008, 44(1): 4-8. 与赵倩倩合作. [pdf]

[23] 关于单生过程指数遍历和$\ell$遍历的注记, 北京师范大学学报, 2010, 46(1): 1-5. [pdf]

[24] 带移民单生过程,数学学报, 2010, 53(5): 833-846. 与赵倩倩合作. [pdf]

[25] 相邻状态死亡速率成比例的单生Q矩阵,北京师范大学学报, 2010, 46(6): 651-656. [pdf]

[26] 生灭大灾难型单生Q矩阵,北京师范大学学报, 2011, 47(4): 347-350. [pdf]

[27] 双边吸收边界生灭过程的特征值估计,北京师范大学学报, 2012, 48(3): 225-230. 与张驰合作. [pdf]

[28] Mixed principal eigenvalues in dimension one, Frontiers of Mathematics in China, 2013, 8(2): 317-343. With CHEN Mufa and WANG Lingdi. [pdf]

[29] The first Dirichlet eigenvalue of birth-death process on trees, Statistics and Probability Letters, 2013, 83(9): 1973-1982. With WANG Lingdi. [pdf]

[30] 无限和有限状态空间上单生过程击中时矩的表示,北京师范大学学报,2013, 49(5): 445-452. [pdf]

[31] A generalization of Dobrushin coefficient, Chinese J. Applied Prob. Stat., 2013, 29(5): 489-494. With MAO Yonghua and ZHANG Ming. [pdf]

[32] 单生(死)$Q$矩阵零流出(入)的判别准则,数学学报,2014, 57(4): 681-692. 与王玲娣合作. [pdf]

[33] Unified representation of formulas for single birth processes, Frontiers of Mathematics in China, 2014, 9(4): 761-796. With CHEN Mufa. [pdf]

[34] Explicit criteria on separation cutoff for birth and death chains, Frontiers of Mathematics in China, 2014, 9(4): 881-898. With MAO Yonghua. [pdf]

[35] 对偶方法及其在Q过程唯一性相关问题中的应用,北京师范大学学报,2014, 50(4): 339-345. [pdf]

[36] Mixed eigenvalues of discrete p-Laplacian, Frontiers of Mathematics in China, 2014, 9(6): 1261-1292. With CHEN Mufa and WANG Lingdi. [pdf]

[37] Mixed eigenvalues of p-Laplacian, Frontiers of Mathematics in China, 2015, 10(2): 249-274. With CHEN Mufa and WANG Lingdi. [pdf]

[38] Central limit theorems for ergodic continuous-time Markov chains with applications to single birth processes, Frontiers of Mathematics in China, 2015, 10(4): 933-947. With LIU Yuanyuan. [pdf]

[39] 离散时间单生过程的判别准则,北京师范大学学报,2015,51(3): 227-235. 与白晶晶,李培森,赵盼合作. [pdf]

[40] Separation cutoff for upward skip-free chains, J. Applied Prob., 2016, 53(1): 299-306. With MAO Yonghua and ZHANG Chi. [pdf]

[41] 单死过程平稳分布的新表示,北京师范大学学报,2016,52(2): 139-140. [pdf]

[42] Probabilistic meanings of numerical characteristics for single birth processes, Chinese J. Applied Prob. Stat., 2016, 32(5): 452-462. With LIAO Zhongwei and WANG Lingdi. [pdf]

[43] 最小单生过程平均占位时的显式表示,北京师范大学学报,2017,53(3): 258-262. 与李培森合作. [pdf]

[44] Convergence in total variation distance for (in)homogeneous Markov processes, Statistics and Probability Letters, 2018, 137: 54-62. With MAO Yonghua, XU Liping and ZHANG Ming.[pdf]

[45] Criteria on ergodicity and strong ergodicity of single death processes, Frontiers of Mathematics in China, 2018, 13(5): 1215-1243. [pdf]

[46] 单死过程一些数字特征的概率意义, 北京师范大学学报, 2018, 54(6): 695-700. 与闫艳艳合作. [pdf]

[47] 单生过程的研究进展,中国科学:数学,2019, 49(3): 621-642. [pdf]

[48] Moments of first hitting times for birth-death processes on trees, Frontiers of Mathematics in China, 2019, 14(4): 833-854. [pdf]

[49] High order moments of first hitting times for single death processes, Frontiers of Mathematics in China, 2019, 14(5): 1037-1061. With ZHOU Xiaofeng. [pdf]

[50] 单生过程 Separation cutoff 的基于特征值的判别准则, 北京师范大学学报, 2019, 55(6): 677-682. 与毛永华, 张伟为合作. [pdf]

[51] 单死过程的稳定性, 中国科学: 数学, 2020, 50(1): 211-230. [pdf]

[52] Moments of integral-type downward functionals for single death processes, Frontiers of Mathematics in China, 2020, 15(4): 749-768 . With WANG Jing. [pdf]

[53] 单生过程积分型泛函的矩和分布, 北京师范大学学报, 2020, 56(4): 493-499. 与王婧合作. [pdf]

[54] 单死过程的向下积分型泛函, 应用概率统计, 2020, 36(4): 393-414. 与王婧合作. [pdf]

[55] 单生过程的一些基本理论, 应用概率统计, 2022, 38(3): 413-438. 与王婧, 闫艳艳合作. [pdf]

[56] 离散时间单死链的可加泛函, 数学学报, 2022, 65(5): 797-818. 与田家萌, 王婧合作. [pdf]

[57] 向上或向下一致有限程连续时间马氏链的常返性和唯一性准则, 中国科学:数学, 2023, 53(11): 1437-1460. [pdf]

已投稿论文

[1] Uniqueness, recurrence and integral-type functionals for birth-death processes on trees, 2023. With WANG Jing and YAN Yanyan.

[2] Criteria for three classical problems of downwardly skip-free processes, 2023. With MAO Yonghua and YAN Yanyan.

[3] Quai-stationary distribution for the explosive single-birth process, 2023. With FANG Zhekang and MAO Yonghua.

[4] Explicit representation of invarant measures for 2-death processes, 2023. With ZHAO Yi. Accepted.

[5] Stability of jump processes with uniformly finite range upward, 2024. With YAN Yanyan and ZHAO Yi.

[6] 带一般边界的非跨跳过程的稳定性, 2024. 与赵奕合作.

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