Abstract
We prove that for any countably many one-parameter diagonalizable subgroups F-n of SL3(R), the set of Lambda is an element of SL3(R)/SL3(Z) such that all the orbits F-n Lambda are bounded has full Hausdorff dimension.
- Title
- Bounded Orbits of Diagonalizable Flows on SL3(R)/SL3(Z)
- Creators
- Jinpeng An - Peking UniversityLifan Guan - Peking UniversityDmitry Kleinbock - Brandeis University, Department of Mathematics
- Publication Details
- International mathematics research notices, Vol.2015(24), pp.13623-13652
- Publisher
- OXFORD UNIV PRESS
- Number of pages
- 30
- Grant note
- 11322101 / NSFC grant DMS-1101320 / NSF grant
- Identifiers
- 9924117683201921
- Academic Unit
- Department of Mathematics
- Language
- English
- Resource Type
- Journal article