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
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