孔德荣?? 个人主页
所在学系：数学系
职称：研究员
邮箱：derongkong@126.com
电话：



基本信息


























孔德荣，博士生导师，重庆大学****研究员。祖籍：江苏-泰兴。



























教育背景





























2001.09--2005.06 扬州大学 本科
2006.09--2012.09华东师范大学硕博连读 (导师：李文侠教授)
2009.09--2012.09 荷兰Delft University of Technology博士 （导师：F.Michel Dekking教授）






























工作经历





























2005.09--2006.06 扬州工业技术学院 助教
2012.12--2016.08 扬州大学 讲师
2016.09--2018.09　　 荷兰Leiden University博士后（合作导师：Charlene Kalle博士）
2019.04--至今 重庆大学 ****研究员






























研究方向





























分形几何与动力系统































科研项目





























（1）国家自然科学基金天元项目**（2014），主持；
（2）国家自然科学基金青年项目**（2015-2017），主持；
（3）江苏省自然科学基金青年项目BK**（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；

（6）重庆市留创计划cx**（2020-2021），主持；
（7）重庆市自然科学基金面上项目cstc2019jcyj-msxmX0338（2019-2022），主持；
（8）国家自然科学基金面上项目**（2020-2023），主持。































专著、译著和教材等





























































主讲课程





























2020秋： 数学分析I（2020级强基班）
2021春： 数学分析II（2020级强基班）






























学术与社会兼职





























”美国数学评论“评论员






























主要成果





























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

(2) How likely can a point be in different Cantor sets, (with Kan Jiang and Wenxia Li),https://arxiv.org/abs/2102.13264
Published Papers
(1) Intersections of homogeneous Cantor sets and beta-expansions, (with Wenxia Li and Michel Dekking), Nonlinearity23(2010), no. 11, 2815–2834.https://arxiv.org/abs/1110.3192

(2) Multimodality of the Markov binomial distribution, (with Michel Dekking), J. Applied Probability48(2011), no. 4, 938–953.https://arxiv.org/abs/1102.3613

(3) Plumes in kinetic transport: How the simple random walk can be too simple, (with Michel Dekking and Annegreet van Opbroek), Stochastic Models28(2012), 635-648.https://arxiv.org/abs/1110.3178

(4) A simple stochastic kinetic transport model, (with Michel Dekking), Adv. in Applied Probability44(2012), 874–885.https://arxiv.org/abs/1106.2912

(5) Hausdorff dimension of unique beta expansions, (with Wenxia Li), Nonlinearity28(2015), no. 1, 187–209.https://arxiv.org/abs/1401.6473

(6) On a problem of countable expansions, (with Yuru Zou),J. Number Theory158(2016), 134–150.https://arxiv.org/abs/1503.07434

(7) On small univoque bases of real numbers,Acta Math. Hungar.150(2016), 194– 208.https://arxiv.org/abs/1602.06173
(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) 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) Unique expansions and intersections of Cantor sets, (with Simon Baker), Nonlinearity,30(2017), 1497–1512.https://arxiv.org/abs/1604.00858

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

(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) 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) On the structure ofλ-Cantor set with overlaps, (with Karma Dajani and Yuanyuan Yao), Adv. Appl. Math.,108(2019), 97–125.https://arxiv.org/abs/1810.08324
(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) 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) 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) 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) 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) 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) Critical base for the unique codings of fat Sierpinski gasket, (with Wenxia Li), Nonlinearity33 (2020), 4484--4511.https://arxiv.org/abs/1812.00585
(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) 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) 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) 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) 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) 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
































研究生培养





























2020级学术硕士： 胡宇、孙贝贝