5 citations · 10 across the 7 of their papers we have counts for
4 papers · 1 filter
Zero-one laws for uniform approximation via Gaussian and Eisenstein integers
René Pfitscher, Anurag Rao, Shucheng Yu +1
We establish two distinct zero-one laws for the uniform Diophantine approximation of complex numbers by quotients of Gaussian integers and by quotients of Eisenstein integers. Usin…
Constructing bounded orbits of special types on homogeneous spaces
Manfred Einsiedler, Dmitry Kleinbock, Anurag Rao
Let be a quotient of a real Lie group by a non-uniform lattice. Consider a one-parameter subgroup of that is -diagonalizable over …
K-divergent lattices
Guy Lachman, Anurag Rao, Uri Shapira +1
We introduce a novel concept in topological dynamics, referred to as -divergence, which extends the notion of divergent orbits. Motivated by questions in the theory of inhomogen…
A dichotomy phenomenon for Bad minus normed Dirichlet
Dmitry Kleinbock, Anurag Rao
Given a norm on , the set of -Dirichlet improvable numbers was defined and studied in the papers of Andersen-Duke (Acta Arith. 2021) and Kleinb…