蒋侃｜宁波大学｜学者主页

2026

Discrete fractals: Dimensions, quasi-isometric invariance and self-similarity

Kan Jiang, Junjie Miao, Lifeng Xi

Advances in Mathematics

DOI

2026

On the intersection of Cantor sets with the unit circle and some sequences

Kan Jiang, Derong Kong, Wenxia Li, Zhiqiang Wang

Journal of the London Mathematical Society

DOI

2025

有限模式的构型集及应用

Kan Jiang, Songjing Wang, Lifeng Xi

Scientia Sinica Mathematica

DOI

2025

数学专业研究生培养模式改革与实践

奚李峰，王立洪，蒋侃

《宁波教育学院学报》

DOI

2025

ON SELF-SIMILARITY OF BOUNDED REGIONS IN THE PLANE

XUEMIN WANG, Kan Jiang, Lifeng Xi

Fractals

DOI

2025

Rational and non-trivial solutions to some algebraic equations in the Cantor sets

Caimin Du, Kan Jiang, Yiqi Yao

Monatshefte für Mathematik

DOI

2025

Bedford–McMullen carpets meet nonlinear curves

Qiaonan Gu, Kan Jiang, Lifeng Xi

Comptes Rendus Mathématique

DOI

2025

Fractal representations of the number zero on the parabola curve

Xuemin Wang, Yi Lu, Jingjing Chen, Kan Jiang

Journal of Mathematical Analysis and Applications

DOI

2024

ON SELF-SIMILARITY OF QUADRANGLE

Jiajun Xu, JINGHUA XI, Kan Jiang

Fractals

DOI

2024

On a class of self-similar sets which contain finitely many common points

Kan Jiang, Derong Kong, Wenxia Li, Zhiqiang Wang

Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI

2024

Rational points in translations of the Cantor set

Kan Jiang, Derong Kong, Wenxia Li, Zhiqiang Wang

Indagationes Mathematicae

DOI

2022

How likely can a point be in different Cantor sets

Kan Jiang, Derong Kong, Wenxia Li

Nonlinearity

DOI

2022

Geometric progressions meet Cantor sets

Keqin Cui, Wenjia Ma, Kan Jiang

Chaos Solitons & Fractals

DOI

2022

Obtaining an explicit interval for a nonlinear Newhouse thickness theorem

Kan Jiang

Mathematische Zeitschrift

DOI

2022

THICKNESS THEOREMS WITH AN APPLICATION IN NUMBER THEORY

Kan Jiang

2021

RESONANCE BETWEEN SELF-SIMILAR SETS AND THEIR UNIVOQUE SETS

Chen Chen, Ying Ma, LEI LEI, Mohammad Gareeb, Kan Jiang

Fractals

DOI

2021

Conditional bi-Lipschitz equivalence of self-similar sets

QI JIA, Chen Chen, Ying Ma, Lei Lei, Kan Jiang

Chaos Solitons & Fractals

DOI

2021

Multiplication on uniform λ-Cantor sets

Jiangwen Gu, Kan Jiang, Lifeng Xi, Bing Zhao

Annales Fennici Mathematici

DOI

2020

“实变函数”课程的教学研究与实践

奚李峰，蒋侃

《宁波教育学院学报》

DOI

2020

VISIBILITY OF CARTESIAN PRODUCTS OF CANTOR SETS

TINGYU ZHANG, Kan Jiang, Wenxia Li

Fractals

DOI

2020

Multiple codings of self-similar sets with overlaps

Karma Dajani, Kan Jiang, Derong Kong, Wenxia Li, Lifeng Xi

Advances in Applied Mathematics

DOI

2020

On the sum of squares of the middle-third Cantor set

Zhiqiang Wang, Kan Jiang, Wenxia Li, Bing Zhao

Journal of Number Theory

DOI

2020

On continuous images of self-similar sets

Yuanyuan Li, Jiaqi Fan, Jiangwen Gu, Bing Zhao, Kan Jiang

Journal of Mathematical Analysis and Applications

DOI

2020

Arithmetic on self-similar sets

Bing Zhao, Xiaomin Ren, Jiali Zhu, Kan Jiang

Indagationes Mathematicae

DOI

2020

Isomorphism and bi-Lipschitz equivalence between the univoque sets

Kan Jiang, Li-Feng Xi, Shengnan Xu, Jin-Jin Yang

Discrete and Continuous Dynamical Systems. Series A

DOI

2020

Irrational self-similar sets

Qi Jia, Yuanyuan Li, Kan Jiang

DOI

2019

ARITHMETIC ON MORAN SETS

XIAOMIN REN, LI TIAN, JIALI ZHU, Kan Jiang

Fractals

DOI

2019

Estimating the Hausdorff dimensions of univoque sets for self-similar sets

Chen Xiu, Kan Jiang, Wenxia Li

Indagationes Mathematicae

DOI

2019

MULTIPLE REPRESENTATIONS OF REAL NUMBERS ON SELF-SIMILAR SETS WITH OVERLAPS

Kan Jiang, XIAOMIN REN, Jiali Zhu, Li Guo Tian

Fractals

DOI

2019

Interiors of continuous images of self-similar sets with overlaps

Lifeng Xi, Kan Jiang, Jiali Zhu, Qiyang Pei

Publicationes Mathematicae Debrecen

DOI

2019

Arithmetic progressions in self-similar sets

Lifeng Xi, Kan Jiang, Qiyang Pei

Frontiers of Mathematics

DOI

2019

Arithmetic representations of real numbers in terms of self-similar sets

Kan Jiang, Lifeng Xi

Annales Academiae Scientiarum Fennicae Mathematica

DOI

2019

Multiplication on self-similar sets with overlaps

Li Guo Tian, Jiangwen Gu, Qianqian Ye, Lifeng Xi, Kan Jiang

Journal of Mathematical Analysis and Applications

DOI

2018

AVERAGE DISTANCE OF SELF-SIMILAR FRACTAL TREES

Tingting Li, Kan Jiang, Lifeng Xi

Fractals

DOI

2018

On points without universal expansions

Karma Dajani, Kan Jiang

Acta Arithmetica

DOI

2018

Lipschitz equivalence of self-similar sets with exact overlaps

Kan Jiang, Songjing Wang, Lifeng Xi

Annales Fennici Mathematici

DOI

2018

Multiple expansions of real numbers with digits set $$\left\{ 0,1,q\right\} $$0,1,q

K. Dajani, Kan Jiang, D. Kong, Wen-Xia Li

Mathematische Zeitschrift

DOI

2017

Shrinking random β-transformation

Kan Jiang, K. Dajani

DOI

2016

Expansions and Dimensions

Kan Jiang

2015

Subshifts of finite type and self-similar sets

Kan Jiang, K. Dajani

DOI

2014

Hausdorff dimension of the arithmetic sum of self-similar sets

Kan Jiang

DOI

2014

On univoque points for self-similar sets

S. Baker, K. Dajani, Kan Jiang

DOI

2014

Self-Affine Sets with Positive Lebesgue Measure

K. Dajani, Kan Jiang, Tom Kempton

DOI

精选作品

期刊论文

Discrete fractals: Dimensions, quasi-isometric invariance and self-similarity

On the intersection of Cantor sets with the unit circle and some sequences

有限模式的构型集及应用

数学专业研究生培养模式改革与实践

ON SELF-SIMILARITY OF BOUNDED REGIONS IN THE PLANE

Rational and non-trivial solutions to some algebraic equations in the Cantor sets

Bedford–McMullen carpets meet nonlinear curves

Fractal representations of the number zero on the parabola curve

ON SELF-SIMILARITY OF QUADRANGLE

On a class of self-similar sets which contain finitely many common points

Rational points in translations of the Cantor set

How likely can a point be in different Cantor sets

Geometric progressions meet Cantor sets

Obtaining an explicit interval for a nonlinear Newhouse thickness theorem

THICKNESS THEOREMS WITH AN APPLICATION IN NUMBER THEORY

RESONANCE BETWEEN SELF-SIMILAR SETS AND THEIR UNIVOQUE SETS

Conditional bi-Lipschitz equivalence of self-similar sets

Multiplication on uniform λ-Cantor sets

“实变函数”课程的教学研究与实践

VISIBILITY OF CARTESIAN PRODUCTS OF CANTOR SETS

Multiple codings of self-similar sets with overlaps

On the sum of squares of the middle-third Cantor set

On continuous images of self-similar sets

Arithmetic on self-similar sets

Isomorphism and bi-Lipschitz equivalence between the univoque sets

Irrational self-similar sets

ARITHMETIC ON MORAN SETS

Estimating the Hausdorff dimensions of univoque sets for self-similar sets

MULTIPLE REPRESENTATIONS OF REAL NUMBERS ON SELF-SIMILAR SETS WITH OVERLAPS

Interiors of continuous images of self-similar sets with overlaps

Arithmetic progressions in self-similar sets

Arithmetic representations of real numbers in terms of self-similar sets

Multiplication on self-similar sets with overlaps

AVERAGE DISTANCE OF SELF-SIMILAR FRACTAL TREES

On points without universal expansions

Lipschitz equivalence of self-similar sets with exact overlaps

Multiple expansions of real numbers with digits set $$\left\{ 0,1,q\right\} $$0,1,q

Shrinking random β-transformation

Expansions and Dimensions

Subshifts of finite type and self-similar sets

Hausdorff dimension of the arithmetic sum of self-similar sets

On univoque points for self-similar sets

Self-Affine Sets with Positive Lebesgue Measure

预印本

The Erdős similarity problem for null sequences with adjacent ratios bounded below

Translations and Dilations Of Fractal Sets Without Rational Numbers

Thickness theorems with partial derivatives

On some fractal sets only containing irrationals

Projections of cartesian products of the self-similar sets without the irrationality assumption

Interiors of continuous images of the middle-third Cantor set

Lipschitz equivalence of a class of self-similar sets

研究方向