Family name: XU 

First name: Jian

Phone: (+86)027-87543231

Address: School of Mathematics and Statistics, Huazhong University of Science and Technology, Luoyu Road 1037, 430074 Wuhan, China

Academic Areas: Mathematics

Research Interests: Fractal Geometry; Metric Number Theory

Academic Degrees

PhD, 2008, School of Mathematics and Statistics, Wuhan University, Wuhan, China;

Bachelor, 2003, School of Mathematics and Statistics, Wuhan University, Wuhan, China.

Professional Experience

Professor (11/2016-present); School of Mathematics and Statistics, Huazhong University of Science and Technology;

Associate Professor (11/2011-10/2016); School of Mathematics and Statistics, Huazhong University of Science and Technology;

Lecturer (7/2008-10/2011); School of Mathematics and Statistics, Huazhong University of Science and Technology.

Selected Publications

1. Wang, Bao-Wei; Wu, Jun; Xu, Jian. A generalization of the Jarník-Besicovitch theorem by continued fractions. Ergodic Theory Dynam. Systems; 36 (2016), no. 4, 1278–1306.

2. Wang, Bao-Wei; Wu, Jun; Xu, Jian. Mass transference principle for limsup sets generated by rectangles. Math. Proc. Cambridge Philos. Soc.; 158 (2015), no. 3, 419–437.

 3. Li, Bing; Wang, Bao-Wei; Wu, Jun; Xu, Jian. The shrinking target problem in the dynamical system of continued fractions. Proc. Lond. Math. Soc.; (3) 108 (2014), no. 1, 159-186.

 4. Wu, Jun; Xu, Jian. On the distribution for sums of partial quotients in continued fraction expansions. Nonlinearity; 24 (2011), no. 4, 1177–1187.

5. Wu, Jun; Xu, Jian. The distribution of the largest digit in continued fraction expansions. Math. Proc. Cambridge Philos. Soc.; 146 (2009), no. 1, 207–212.

 6. Xu, Jian. On sums of partial quotients in continued fraction expansions. Nonlinearity; 21 (2008), no. 9, 2113–2120.

Courses Taught

Linear Algebra; Matrix Theory; Mathematical Analysis; Calculus; Number Theory and Arithmetic

Project

1. National Natural Science Foundation of China：11571127, Non-homogeneous and shrinking target problems in self-affine systems, 2016/01—2019/12;

2. National Natural Science Foundation of China：11101167, Research on Diophantine approximation and continued fractions, 2012/01—2014/12;

3. National Natural Science Foundation of China：10926160, Research on inhomogeneous Diophantine approximation, 2010/01—2010/12.