Author

A. Gorodnik

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Preprint Sep 2026

Cone upgrade for effective equidistribution and weighted Khintchine--Schmidt theorem on fractals

We prove a fractal analogue of the weighted theorems of Khintchine and Schmidt for products of self-similar measures on the real line whose defining iterated function systems share a common contraction ratio. The proof translates the counting problem into homogeneous dynamics and builds on recent work of B\'enard, He a...

Gaurav Aggarwal, A. Gorodnik · 0 citations

Preprint Aug 2026

The Fully Inhomogeneous $p$-Adic Littlewood Conjecture

We prove that for almost every $\alpha\in\RR$, the \textit{fully inhomogeneous $p$-adic Littlewood Conjecture} holds; namely, \begin{equation*} \forall \delta\in\RR,\forall \kappa\in\ZZ_p, \;\;\liminf_{\av{q}\rightarrow+\infty}q\inn{q\alpha+\delta}\abs{q+\kappa}_p=0. \end{equation*} Here, $\inn{\cdot}$ denotes the dist...

Menny Aka, A. Gorodnik, P. Vishe et al. · 0 citations