个人简介
教育背景:
2012.09-2016.08UtrechtUniversity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:
2012.09-2012.09TechnischeUniversiteitDelft
2013.06-2013.06UniversitédeGrenoble-Alpes
2015.04-2015.04LoughboroughUniversity
2015.05-2015.05UniversitèdeLorraine
2015.08-2015.08LeidenUniverity
2016.05-2016.05PragueCzechTechnicalUniversity
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,11701302,2018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,11671147,2017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.Univoquepointsandopendynamics(30mins),Loughborough
University,15April2015,UK
2.Univoquepointsforself-similarsets(25mins),Universitede
Lorraine,21May2015,France
3.Subshiftoffinitetypeandself-similarsets(onehour),Utrecht
University,5August,Netherlands
4.Multipleexpansionsforrealnumbersoverdigitset{0,1,q},(25
mins),26May2016,Czech
5.Partitiontheself-similarsetsbyperiodicorbits(45mins),Utrecht
University,1September2016,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。
研究领域
研究方向:
动力系统Dynamicalsystems
分形几何Fractalgeometry
近期论文
查看导师新发文章
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代表性论文与出版物:
1.KarmaDajani,KanJiang,andTomKempton.Self-affinesetswithpositive
Lebesguemeasure.Indag.Math.(N.S.),25(4):774–784,2014.
2.SimonBaker,KarmaDajani,andKanJiang.Onunivoquepointsforself-similar
sets.Fund.Math.,228(3):265–282,2015.
3.KanJiang.Hausdorffdimensionofthearithmeticsumofself-similarsets.Indag.Math.(N.S.),27(3):684-701,2016.
4.KarmaDajaniandKanJiang.Shrinkingrandombeta-transformation.Indag.Math.(N.S.),28(1):74-83,2017.
5.XiuChen,KanJiangandWenxiaLi.Lipschitzequivalenceofaclassofself-similarsets.AnnalesAcademiæScientiarumFennicæMathematic,42,585–591,2017.
6.KanJiangandKarmaDajani.Subshiftoffinitetypeandself-similarsets.Nonlinearity30,659-686,2017.
7.KarmaDajani,KanJiang,Kongderong,andWenxiaLi.Multipleexpansionsofrealnumberswithdigitsset{0,1,q}.ToappearinMath.Z,2018.
8.KanJiang,SongjingWangandLifengXi.Lipschitzequivalenceofself-similarsetswithexactoverlap.AnnalesAcademiæScientiarumFennicæMathematic,
43,905–912,2018.
9.TingtingLi,KanJiangandLifengXi.Averagedistanceofself-similarfractaltrees.Fractals.26(1)2018.
10.KarmaDajaniandKanJiang.Onpointswithoutuniversalexpansions.ActaArithmetica.184(3)2018.
11.XiaominRen,JialiZhu,LiTianandKanJiang.Multiplerepresentationsofrealnumbersonself-similarsetswithoverlaps.ToappearinFractals,2019.
12.KarmaDajani,KanJiang,Kongderong,andWenxiaLi.Multiplecodingsofself-similarsetswithoverlaps.arXiv:1603.09304,2016.
13.XiuChen,KanJiang,andWenxiaLi.Hausdorffdimensionoftheunivoquesets
foraclassofself-similarsets.arXiv:1708.05589.2017.
14.KanJiang.Projectionsofcartesianproductsoftheself-similarsetswithouttheirrationalityassumption.arXiv:1806.01080.2018.
15.LiTian,JiangwenGu,QianqianYe,LifengXi,KanJiang.Multiplicationonself-similarsetswithoverlaps.arXiv:1807.05368.2018.
16.KanJiangandLifengXi.Arithmeticrepresentationsofrealnumbersintermsofself-similarsets.arXiv:1808.09724.2018.
17.KanJiangandLifengXi.Interiorsofcontinuousimagesofthemiddle-thirdCantorset.arXiv:1809.01880.2018.
18.KanJiang,QiyangPeiandLifengXi.Onarithmeticprogressionsinself-similarsets.arXiv:1901.06673.2019.
19.KanJiang,SongjingWangandLifengXi.Onself-similarsetswithexactoverlaps.Submitted.2017.
20.KanJiang,JinjinYang,ShengnanXuandLifengXi.Isomorphismandbi-Lipschitzequivalencebetweentheunivoquesets.Submitted.2018.
学术兼职
学术兼职:
MonatsheftefuerMathematik审稿人