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厦门大学数学科学学院数学与应用数学系导师介绍:石荣刚

作者:聚创厦大考研网-小黑老师 点击量: 2060 发布时间: 2018-08-10 11:47 【微信号:13306030226】



简介

系别:
数学与应用数系
办公室:海韵园物理机电大楼660
教师:石荣刚
职称:副教授
职务:教师
Phone:0592-2580771
Email:
ronggang@xmu.edu.cn
研究方向:

Ergodic theory, number theory

石荣刚 (Ronggang Shi)      

 

CV                                                            

Address: School of Mathematical Sciences

               Xiamen University

               Xiamen, Fujian 361005, China

Email: ronggang@xmu.edu.cn 

Research Interests: homogeneous dynamics, ergodic theory, number theory, discrete subgroups of Lie groups


 Education:  B.S.  Zhejiang University 2005.6

                       Supervisor: Shiu-chun Wong

 

                    Ph.D. The Ohio State University 2009.6

                                      Advisor: Manfred Einsiedler  

Papers:

 1. Equidistribution of expanding measures with local maximal dimension and Diophantine Approximation, Monatshefte fur Mathematik, Volume 165, Numbers 3-4 (2012), 513-541.

2. Convergence of measures under diagonal actions on homogeneous spaces, Advances in Mathematics, Volume 229, Issue 3, 15 February 2012, Pages 1417-1434.

 

3. (with J. Tseng) Simultaneous dense and nondense orbits and the space of lattices, Internat. Math. Res. Notices  2015, no. 21, 11276-11288.

 

4. Pointwise equidistribution for one parameter diagonalizable group action on homogeneous space. http://arxiv.org/abs/1405.2067

 

5. (with B. Weiss) Invariant measures for solvable groups and Diophantine approximation Israel J. Math. 219 (2017), 479-505.

 

6 (with D. Kleinbock and B. Weiss), Pointwise equidistribution with an error rate and with respect to unbounded functions, Math. Ann. 367 (2017) , 857-879. 

7. (with K. Fraczek and C. Ulcigrai), Genericity on curves and applications: pseudo integrable billiards, Eaton lenses and gap distributions, http://arxiv.org/abs/1508.03946

 

8.  Expanding cone and applications to homogeneous dynamics ,http://arxiv.org/abs/1510.05256

 

9. (with L. Liao, O.N. Solan and N. Tamam), Hausdorff dimension of weighted singular vectors, http://arxiv.org/abs/1605.01287

 

 

 

 

 

 

10. (with D. Kleinbock, and G. Tomanov)S-adic version of Minkowski's geometry of numbers and Mahler's compactness criterion, J. Number Theory 174 (2017), 150-163.

 

 

11. (with M. Einsiedler), Measure rigidity for solvable group actions in the space of lattices, https://arxiv.org/abs/1702.03084





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