2 papers
math.DS2019
Singular Vectors on Fractals and Projections of Self-similar Measures
Osama Khalil
Singular vectors are those for which the quality of rational approximations provided by Dirichlet's Theorem can be improved by arbitrarily small multiplicative constants. We provid…
math.DS2018
Bounded and Divergent Trajectories And Expanding Curves on Homogeneous Spaces
Osama Khalil
Suppose is a -parameter -diagonalizable subgroup of a Lie group and is a lattice. We study the dimension of bounded and divergent orbits of e…