Dmitry Kleinbock

collaborators

3 papers

math.DS2025

Constructing bounded orbits of special types on homogeneous spaces

Manfred Einsiedler, Dmitry Kleinbock, Anurag Rao

Let $X = G /Γ$ be a quotient of a real Lie group by a non-uniform lattice. Consider a one-parameter subgroup $F$ of $G$ that is $Ad$ -diagonalizable over $C$ …

math.DS2025

Simultaneously bounded and dense orbits for commuting Cartan actions

Dmitry Kleinbock, Chengyang Wu

In this paper we prove that the set of points that have bounded orbits under one regular diagonal flow and dense orbits under the other diagonal flow commuting with the first one h…

math.NT2025

Submanifold-genericity of $R^{d}$ -actions and uniform multiplicative Diophantine approximation

Prasuna Bandi, Reynold Fregoli, Dmitry Kleinbock

In this paper, we prove a new ergodic theorem for $R^{d}$ -actions involving averages over dilated submanifolds, thereby generalizing the theory of spherical averages. Our ma…

Constructing bounded orbits of special types on homogeneous spaces

Simultaneously bounded and dense orbits for commuting Cartan actions

Submanifold-genericity of Rd-actions and uniform multiplicative Diophantine approximation

Submanifold-genericity of $R^{d}$ -actions and uniform multiplicative Diophantine approximation