Welcome to Yu-Hui Zhang's Home Page.                   ÖÐÎÄ°æ

Address  School of of Mathematical Sciences
Beijing Normal University  
Beijing, 100875
People's Republic of China  
Phone (0086-10) 62209447
Email   zhangyh@bnu.edu.cn

Education

1990 BSc Peking University

1993 MSc Beijing Normal University

1996 DSc Beijing Normal University 

Research interests

Publications

  1. The conservativity of coupling jump processes, J. Beijing Normal Univ., 1994, 30(3), 305-307. (in Chinese)

  2. Construction of order-preserving coupling for one-dimensional Markov chains, Chinese J. Appl. Probab. Stat., 1996, 12(4): 376-382. (in Chinese)

  3. The optimal Markovian couplings for a specific type of distance, J. Beijing Normal Univ., 1996, 32(4): 463-467. (in Chinese)

  4. A problem on the uniqueness of jump processes, Chinese J. Appl. Probab. Stat., 1998, 14(1): 45-48. (in Chinese)

  5. A supplement to "Construction of order-preserving coupling for one-dimensional Markov chains", J. Beijing Normal Univ., 1998, 34(1): 49-50. (in Chinese)

  6. Regularity of Q-matrices being linear combinations of two regular Q-matrices, J. Beijing Normal Univ., 1998, 34(3): 292-296. (in Chinese)

  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).

  8. Stochastic comparability of the minimal q-processes, J. Beijing Normal Univ., 2000, 36(2): 156-158. (in Chinese)

  9. Strong ergodicity for single birth processes, J. Appl. Probab., 2001, 38(1): 270-277.

  10. On variation in birth-death processes, J. Beijing Normal Univ., 2001, 37(2): 143-146. (in Chinese)

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

  12. Moments of the first hitting time for single birth processes, J. Beijing Normal Univ., 2003, 39(4): 430-434. (in Chinese)

  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 Mu-Fa and ZHAO Xiao-Liang.

  14. The hitting time and stationary distribution for single birth processes, J. Beijing Normal Univ., 2004, 40(2): 157-161. (in Chinese)

  15. Exponential ergodicity for single birth processes, J. Appl. Probab., 2004, 41(4): 1022-1032. With MAO Yong-Hua.

  16. One dimensional Brusselator model, Chinese J. Appl. Probab. Stat., 2005, 21(3): 225-234. (in Chinese) With WU Bo.

  17. A property of one-dimensional Brusselator model, J. Beijing Normal Univ., 2005, 41(6): 575-577. (in Chinese) With WU Bo.

  18. Some single birth Q-matrices (I), J. Beijing Normal Univ., 2006, 42(2): 111-115. (in Chinese) With ZHAO Qian-Qian.

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

  20. Ergodicity of a class of single death processes, Chinese J. Appl. Probab. Stat., 2007, 23(4): 377-383. (in Chinese)

  21. Estimate of the constant of the generalized Latala-Oleszkiewicz inequality, Advances in Mathmatics (China), 2007, 36(6): 672-678 (in Chinese). With ZHANG Li-Hua.

  22. Some single birth Q-matrices (II), J. Beijing Normal Univ., 2008, 44(1): 4-8 (in Chinese). With ZHAO Qian-Qian.

  23. A note on exponential ergodicity and $\ell$-ergodicity of single birth processes, J. Beijing Normal Univ., 2010, 46(1): 1-5. (in Chinese)

  24. Single birth processes with immigration, Acta Math. Sin. (Chinese Series), 2010, 53(5): 833-846 (in Chinese). With ZHAO Qian-Qian.

  25. A class of single birth Q-matrices with some proportional death rates for neighbor states, J. Beijing Normal Univ., 2010, 46(6): 651-656 (in Chinese).

  26. Birth-death-catastrophe type single birth Q-matrices, J. Beijing Normal Univ., 2011, 47(4): 347-350. (in Chinese)

  27. Estimation of the eigenvalue for the birth and death process with bilateral absorbing boundaries, J. Beijing Normal Univ., 2012, 48(3): 225-230. (in Chinese) With ZHANG Chi.

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

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

  30. Expressions on moments of hitting time for single birth process in infinite and finite space, J. Beijing Normal Univ., 2013, 49(5): 445-452. (in Chinese)

  31. A generalization of Dobrushin coefficient, Chinese J. Appl. Probab. Stat., 2013, 29(5): 489-494. With MAO Yonghua and ZHAMG Ming.

  32. Criteria for zero-exit (-entrance) of single-birth (-death) Q-matrices, Acta Math. Sin. (Chinese Series), 2014, 57(4): 681-692. (in Chinese) With WANG Lingdi.

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

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

  35. Dual approach and its applications in related problems with uniqueness of Q-processes, J. Beijing Normal Univ., 2014, 50(4): 339-345. (in Chinese)

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

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

  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.

  39. Some criteria on discrete time single birth processes, J. Beijing Normal Univ., 2015, 51(3): 227-235. (in Chinese) With BAI Jingjing, LI Peisen and ZHAO Pan.

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

  41. A new representation of stationary distribution of single death processes, J. Beijing Normal Univ., 2016, 52(2): 139-140. (in Chinese)

  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.

  43. Explicit representation for mean occupation times of minimal single birth processes, J. Beijing Normal Univ., 2017, 53(3): 258-262. (in Chinese)

  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.

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

  46. Probabilistic meanings for some numerical characteristics of single death processes, J. Beijing Normal Univ., 2018, 54(6): 695-700. (in Chinese) With YAN Yanyan.

  47. Progress in single birth processes, Sci. Sin. Math., 2019, 49(3): 621-642. (in Chinese)

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

  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.

  50. A criterion on separation cutoff for single-birth processes based on eigenvalues, J. Beijing Normal Univ., 2019, 55(6): 677-682. (in Chinese) With MAO Yonghua and ZHANG Weiwei.

  51. On stability of single death processes, Sci. Sin. Math., 2020, 50(1): 211-230. (in Chinese)

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

  53. Moments and distributions of integral-type functional for single birth processes, J. Beijing Normal Univ., 2020, 56(4): 493-499. (in Chinese) With WANG Jing.

  54. Integral-type functionals downward of single death processes, Chinese J. Applied Prob. Stat., 2020, 36(4): 393-414. (in Chinese) With WANG Jing.

  55. Some basic theory of single birth processes, Chinese J. Applied Prob. Stat., 2022, 38(3): 413-438. (in Chinese) With WANG Jing and YAN Yanyan.

  56. Additive functionals for discrete-timed single death chains, Acta Mathematica Sinica Chinese Series, 2022, 65(5): 797-818. (in Chinese) With TIAN Jiameng and WANG Jing.

  57. Criteria on recurrence and uniqueness of time-continuous Markov chains with uniformly finite range upward or downward, Scientia Sinica Mathematics, 2023, 53(11): 1437-1460. (in Chinese)

  58. Explicit representation of invarant measures for 2-death processes, Statistics and Probability Letters, 2024, 210: 110120. With ZHAO Yi.

  59. Uniqueness, recurrence and integral-type functionals for birth-death processes on trees, Frontiers of Mathematics in China, 2024. Accepted. With WANG Jing and YAN Yanyan.