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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 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

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

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