个人简介
基本信息
孔德荣，重庆大学百人计划研究员。
教育背景
2001.09--2005.06 扬州大学 本科
2006.09--2012.06 华东师范大学 硕博连读 (导师：李文侠教授)
2009.09--2012.06 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
2019.04--至今 重庆大学 百人计划研究员
科研项目
（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；
（6）重庆市留创计划cx2019067（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11971079（2020-2023），主持。
研究领域
研究方向
分形几何与动力系统
主持科研项目情况
（1）国家自然科学基金青年项目No.11401516(2015.1—2017.12)
（2）国家自然科学基金天元项目No.11326207(2014.1—2014.12)
（3）江苏省自然科学基金青年项目No.BK20130433(2014.7—2016.6)
（4）2013教育部留学回国人员基金
（5）2013江苏省博士集聚计划
（6）2013扬州市绿扬金凤计划
近期论文
查看导师新发文章
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主要成果
Submitted Papers
(1) Univoque bases of real numbers: local dimension, Devil's staircase and isolated points}, (with Wenxia Li, Fan Lv, Zhiqiang Wang and Jiayi Xu). https://arxiv.org/abs/1911.05910
(2) Multiple codings for self-similar sets with overlaps, (with Karma Dajani, Kan Jiang and Wenxia Li). https://arxiv.org/abs/1603.09304
(3) On a kind of self-similar sets with complete overlaps, (with Yuanyuan Yao). https://arxiv.org/abs/2005.03280
(4) Pointwise densities of homogeneous Cantor measure and critical values, (with Wenxia Li and Yuanyuan Yao). https://arxiv.org/abs/2005.03269
(5) On the smallest base in which a number has a unique expansion, (with Pieter Allaart). https://arxiv.org/abs/2006.07927
Published Papers
(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) 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) 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) A simple stochastic kinetic transport model, (with Michel Dekking), Adv. in Applied Probability 44 (2012), 874–885. https://arxiv.org/abs/1106.2912
(5) Hausdorff dimension of unique beta expansions, (with Wenxia Li), Nonlinearity 28 (2015), no. 1, 187–209. https://arxiv.org/abs/1401.6473
(6) On a problem of countable expansions, (with Yuru Zou), J. Number Theory 158(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 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) 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 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) 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., DOI: 10.1016/j.aim.2019.106729, 2019. 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. DOI:10.1017/etds.2019.12, 2019. 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., DOI:10.1016/j.aim.2019.106934, 2020. https://arxiv.org/abs/1810.07083
(23) 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
(24) 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
(25) Critical base for the unique codings of fat Sierpinski gasket, (with Wenxia Li), Nonlinearity (to appear). https://arxiv.org/abs/1812.00585.
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