孔德荣，博士生导师，公司百人计划研究员

祖籍：江苏-泰兴

2001.09--2005.06，扬州大学本科

2012.12--2016.08，扬州大学，讲师

分形几何与动力系统   

（1）国家自然科学基金天元项目11326207（2014），主持；    

（2）国家自然科学基金青年项目11401516（2015-2017），主持；    

（3）江苏省自然科学基金青年项目BK20130433（2014-2017），主持；    

（4）教育部留学回国人员启动基金（2014），主持；

（5）英国伦敦数学会合作基金41706（2018-2019），参与；  

2020秋：数学分析I（2020级强基班）

2021春：数学分析II（2020级强基班）

“美国数学评论”评论员

1. (1) Density spectrum of Cantor measure, (with Pieter Allaart). https://arxiv.org/abs/2008.04474
   

2. (2) How likely can a point be in different Cantor sets, (with Kan Jiang and Wenxia Li), https://arxiv.org/abs/2102.13264

3. (3) Critical values for the  β -transformation with a hole at  0, (with Pieter Allaart).https://arxiv.org/abs/2109.1001     

4. (4) On a class of self-similar sets which contain finitely many common points, (with Zhiqiang Wang, Kan Jiang and Wenxia Li). https://arxiv.org/abs/2109.10014      

Published Papers  

1. (1) Intersections of homogeneous Cantor sets and beta-expansions, (with Wenxia Li and Michel Dekking), Nonlinearity 23 (2010), no. 11, 2815–2834. https://arxiv.org/abs/1110.3192  
   

2. (2) Multimodality of the Markov binomial distribution, (with Michel Dekking), J. Applied Probability 48 (2011), no. 4, 938–953.https://arxiv.org/abs/1102.3613  
   

3. (3) Plumes in kinetic transport: How the simple random walk can be too simple, (with Michel Dekking and Annegreet van Opbroek), Stochastic Models 28 (2012), 635-648. https://arxiv.org/abs/1110.3178  
   

4. (4) A simple stochastic kinetic transport model, (with Michel Dekking), Adv. in Applied Probability 44 (2012), 874–885.  https://arxiv.org/abs/1106.2912  
   

5. (5) Hausdorff dimension of unique beta expansions, (with Wenxia Li), Nonlinearity 28 (2015), no. 1, 187–209.  https://arxiv.org/abs/1401.6473  
   

6. (6) On a problem of countable expansions, (with Yuru Zou), J. Number Theory 158(2016), 134–150. https://arxiv.org/abs/1503.07434  
   

7. (7) On small univoque bases of real numbers, Acta Math. Hungar. 150 (2016), 194– 208. https://arxiv.org/abs/1602.06173

8. (8) Hausdorff dimension of univoque sets and devil’s staircase, (with Vilmos Komoronik and Wenxia Li), Adv. Math. 305 (2017), 165–196.  https://arxiv.org/abs/1503.00475  
   

9. (9) On small bases which admit points with two expansions, (with Wenxia Li and Yuru Zou), J. Number Theory, 173 (2017), 100–128.  https://arxiv.org/abs/1507.08135  
   

10. (10) Unique expansions and intersections of Cantor sets, (with Simon Baker), Nonlinearity, 30 (2017), 1497–1512.  https://arxiv.org/abs/1604.00858  
    

11. (11) Univoque bases and Hausdorff dimension, (with Wenxia Li, Fan Lv and Martijn de Vries), Monatsh. Math., 184 (2017), 443–458.  https://arxiv.org/abs/1606.03791  
    

12. (12) Algebraic sums and products of univoque bases, (with Karma Dajani, Vilmos Komornik and Wenxia Li), Indag. Math., 29 (2018), 1087–1104.  https://arxiv.org/abs/1710.03291  
    

13. (13)  Bases in which some numbers have exactly two expansions, (with Vilmos Komornik), J. Number Theory, 195 (2019), 226–268.  https://arxiv.org/abs/1705.00473  
    

14. (14) Entropy, topological transitivity and dimensional properties of unique q-expansions, (with Rafael Alcaraz Barrera and Simon Baker), Trans. Amer. Math. Soc., 371(2019), 3209–3258. https://arxiv.org/abs/1609.02122  
    

15. (15) Multiple expansions of real numbers with digits set {0, 1, q}, (with Karma Dajani, Kan Jiang and Wenxia Li), Math. Z.,291(2019), 1605–1619. https://arxiv.org/abs/1508.06138  
    

16. (16) On the bifurcation set of unique expansions, (with Charlene Kalle, Wenxia Li and Fan Lv), Acta Arith., 188-4 (2019), 367–399.  https://arxiv.org/abs/1612.07982

17. (17) On the structure of λ-Cantor set with overlaps, (with Karma Dajani and Yuanyuan Yao), Adv. Appl. Math., 108 (2019), 97–125.  https://arxiv.org/abs/1810.08324  

18. (18) Bifurcation sets arising from non-integer base expansions, (with Pieter Allaart and Simon Baker). J. Fractal Geom., 6-4 (2019), 301--341. https://arxiv.org/abs/1706.05190 

19. (19) Numbers with simply normal beta-expansions, (with Simon Baker), Math. Proc. Camb. Phil. Soc. 167 (2019), 171--192. https://arxiv.org/abs/1707.01013
    

20. (20) On the continuity of the Hausdorff dimension of the univoque set, (with Pieter Allaart), Adv. Math., 354 (2019), 106729, 24pp. https://arxiv.org/abs/1804.02879  
    

21. (21) The beta-transformation with a hole at 0, (with Charlene Kalle, Niels Langeveld and Wenxia Li), Ergodic Theory Dynam. Systems.40(2020),2482--2514. https://arxiv.org/abs/1803.07338  

22. (22) On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne, (with Simon Baker),  Adv. Math., 360 (2020), 106934, 29pp. https://arxiv.org/abs/1810.07083  
    

23. (23) Two bifurcation sets arising from the beta transformation with a hole at $0$, (with Simon Baker), Indag. Math. 31(2020), 436--449. https://arxiv.org/abs/1904.07007  

24. (24) Critical base for the unique codings   of fat Sierpinski gasket, (with Wenxia Li), Nonlinearity 33 (2020), 4484--4511. https://arxiv.org/abs/1812.00585

25. (25) Univoque bases of real numbers: local dimension, Devil's staircase and isolated points}, (with Wenxia Li, Fan Lv, Zhiqiang Wang and Jiayi Xu). Adv. Appl. Math., 121 (2020), 102103, 31pp.  https://arxiv.org/abs/1911.05910

26. (26) Multiple codings for self-similar sets with overlaps, (with Karma Dajani, Kan Jiang, Wenxia Li and Lifeng Xi). Adv. Appl. Math., 124 (2021), 102146, 49pp. https://arxiv.org/abs/1603.09304  
    

27. (27) On a kind of self-similar sets with complete overlaps, (with Yuanyuan Yao).  Acta Math. Hungar.  DOI:10.1007/s10474-020-01116-4. https://arxiv.org/abs/2005.03280   

28. (28)  Relative bifurcation sets and the local dimension of univoque bases, (with Pieter Allaart), Ergodic Theory Dynam. Systems. DOI:10.1017/etds.2020.38, 2020. https://arxiv.org/abs/1809.00323  

29. (29)  Pointwise densities of homogeneous Cantor measure and critical values, (with Wenxia Li and Yuanyuan Yao).  To appear in Nonlinearity. https://arxiv.org/abs/2005.03269  
    

30. (30) On the smallest base in which a number has a unique expansion, (with Pieter Allaart). To appear in Trans. Amer. Math. Soc. https://arxiv.org/abs/2006.07927 

2020级硕士：胡宇、孙贝贝