Prasuna Bandi

collaborators

3 papers

math.NT2026

Averaged Fourier Estimates and Dyadic Approximation on the Cantor set

Prasuna Bandi

Let $C$ be the middle-third Cantor set and let $I^¼$ be the natural Cantor probability measure. Let \[ Î³=\frac{\log2}{\log3}. \] The two main results of this paper are \[ Î¼\{x\in…

math.NT2026

On the Hausdorff Dimension of weighted exactly Approximable Vectors

Prasuna Bandi, Reynold Fregoli

We show that the Hausdorff dimension of $w$ -weighted $I ¨ $ -exactly approximable vectors in $R^{d}$ coincides with the Hausdorff dimension of $w$ -weight…

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…

Averaged Fourier Estimates and Dyadic Approximation on the Cantor set

On the Hausdorff Dimension of weighted exactly Approximable Vectors

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

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