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宁波大学数学与统计学院导师教师师资介绍简介-蒋侃

本站小编 Free考研考试/2021-04-11

基本信息:
姓名:蒋侃
专业:基础数学
职称:讲师
E-mail:jiangkan@nbu.edu.cn
研究方向:
动力系统 Dynamical systems
分形几何 Fractal geometry
教育背景:
2012.09-2016.08 Utrecht University数学系 博士生
2009.09-2012.06 华东师范大学数学系 硕士生
2005.09-2009.06 浙江师范大学数学系 本科生
工作经历:
2017.05-至今 宁波大学数学系 讲师
访学经历:
2012.09-2012.09 Technische Universiteit Delft
2013.06-2013.06 Université de Grenoble-Alpes
2015.04-2015.04 Loughborough University
2015.05-2015.05 Universitè de Lorraine
2015.08-2015.08 Leiden Univerity
2016.05-2016.05 Prague Czech Technical University
学术兼职:
Monatshefte fuer Mathematik 审稿人
代表性论文与出版物:
1. Karma Dajani, Kan Jiang, and Tom Kempton. Self-affine sets with positive
Lebesgue measure. Indag. Math. (N.S.), 25(4):774–784, 2014.
2. Simon Baker, Karma Dajani, and Kan Jiang. On univoque points for self-similar
sets. Fund. Math., 228(3):265–282, 2015.
3. Kan Jiang. Hausdorff dimension of the arithmetic sum of self-similar sets. Indag. Math. (N.S.), 27(3): 684-701, 2016.
4. Karma Dajani and Kan Jiang. Shrinking random beta-transformation. Indag.Math. (N.S.),28(1): 74-83, 2017.
5. Xiu Chen, Kan Jiang and Wenxia Li. Lipschitz equivalence of a class of self-similar sets. Annales AcademiæScientiarum FennicæMathematic, 42, 585–591, 2017.
6. Kan Jiang and Karma Dajani. Subshift of finite type and self-similar sets. Nonlinearity 30, 659-686, 2017.
7. Karma Dajani, Kan Jiang, Kong derong, and Wenxia Li. Multiple expansions of real numbers with digits set {0, 1, q}. To appear in Math.Z, 2018.
8. Kan Jiang, Songjing Wang and Lifeng Xi.Lipschitz equivalence of self-similar sets with exact overlap. Annales Academiæ Scientiarum Fennicæ Mathematic,
43, 905–912, 2018.
9. Tingting Li, Kan Jiang and Lifeng Xi. Average distance of self-similar fractal trees. Fractals. 26(1) 2018.
10. Karma Dajani and Kan Jiang. On points without universal expansions. Acta Arithmetica. 184(3) 2018.
11. Xiaomin Ren, Jiali Zhu, Li Tian and Kan Jiang. Multiple representations of real numbers on self-similar sets with overlaps. To appear in Fractals, 2019.
12. Karma Dajani, Kan Jiang, Kong derong, and Wenxia Li. Multiple codings of self-similar sets with overlaps. arXiv:1603.09304, 2016.
13. Xiu Chen, Kan Jiang, and Wenxia Li. Hausdorff dimension of the univoque sets
for a class of self-similar sets. arXiv:1708.05589. 2017.
14. Kan Jiang. Projections of cartesian products of the self-similar sets without the irrationality assumption. arXiv:1806.01080. 2018.
15. Li Tian, Jiangwen Gu, Qianqian Ye, Lifeng Xi, Kan Jiang. Multiplication on self-similar sets with overlaps. arXiv:1807.05368. 2018.
16. Kan Jiang and Lifeng Xi. Arithmetic representations of real numbers in terms of self-similar sets. arXiv:1808.09724. 2018.
17. Kan Jiang and Lifeng Xi. Interiors of continuous images of the middle-third Cantor set. arXiv:1809.01880. 2018.
18. Kan Jiang, Qiyang Pei and Lifeng Xi. On arithmetic progressions in self-similar sets. arXiv:1901.06673. 2019.
19. Kan Jiang, Songjing Wang and Lifeng Xi. On self-similar sets with exact overlaps. Submitted. 2017.
20. Kan Jiang, Jinjin Yang, Shengnan Xu and Lifeng Xi. Isomorphism and bi-Lipschitz equivalence between the univoque sets. Submitted. 2018.
科研项目:
1. 国家自然科学基金青年项目:马尔可夫分割在一些分形集中的若干应用,**,2018年01月—2020年12月,主持。
2. 国家自然科学基金面上项目:自相似集的多码问题研究,**, 2017年01月—2020年12月,参与。
获奖情况:
1. 2015年:伦敦数学会博士论文二等奖。
国际会议作报告情况:
1. Univoque points and open dynamics (30 mins), Loughborough
University, 15 April 2015, UK
2. Univoque points for self-similar sets (25 mins), Universite de
Lorraine, 21 May 2015, France
3. Subshift of finite type and self-similar sets (one hour), Utrecht
University, 5 August, Netherlands
4. Multiple expansions for real numbers over digit set {0,1,q}, (25
mins), 26 May 2016, Czech
5. Partition the self-similar sets by periodic orbits (45 mins), Utrecht
University, 1 September 2016, Netherlands

教学状况:
1. 主讲本科《高等数学》课程。
2. 主讲研究生《动力系统》、《分形几何》等课程。





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