Hausdorff dimension of singular vectors

By Y. Cheung, Nicolas Chevallier. 2016

64 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/aac71905e6430001596afe9d9209662825c2abbe

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Dmitry Kleinbock
2. Gregory Margulis
3. Elon Lindenstrauss
4. Shirali Kadyrov
5. Manfred Einsiedler
6. A. Katok
7. Akshay Venkatesh
8. Kannan Soundararajan

In Mathematical Physics

1. Dmitry Kleinbock
2. Gregory Margulis
3. Elon Lindenstrauss
4. Shirali Kadyrov
5. Barak Weiss
6. Manfred Einsiedler
7. Victor Beresnevich
8. Akshay Venkatesh

Citations in the corpus

• Singular systems of linear forms and non-escape of mass in the space of lattices (2014, background): “Also, it is natural to conjecture that, unless m = n = 1, the set of points with divergent trajectories has the same Hausdorff dimension as of those who escape on average; this follows from [CC14] and Theorem 1.”