S. Velani

activity

20242026

collaborators

7 papers

math.NT2026

Twisted Diophantine approximation on manifolds

Victor Beresnevich, David Simmons, Sanju Velani

In twisted Diophantine approximation, for a fixed $m \times n$ matrix $I^\pm$ one is interested in sets of vectors $I^^{2} \in R^{m}$ such that the system of affi…

math.NT2025

Intersecting well approximable and missing digit sets

Bing Li, Sanju Velani, Bo Wang

Let $b \geq 3$ be an integer and $C (b, D)$ be the set of real numbers in $[0, 1]$ whose $b$ -ary expansion consists of digits restricted to a given set $D \subseteq {0, \dots, b - 1}$ . Giv…

math.DS2025

Shrinking Targets versus Recurrence: a brief survey

Yubin He, Bing Li, Sanju Velani

Let $(X, d)$ be a compact metric space and $(X, A, I^¼, T)$ a measure preserving dynamical system. Furthermore, given a real, positive function $I ¨ $ , let $W (T, I ¨ )$ and $ R(T,…

math.NT2025

The dimension of well approximable numbers

Victor Beresnevich, Sanju Velani

In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real…

math.DS2025

Exponential mixing for Gibbs measures on self-conformal sets and applications

Junjie Huang, Bing Li, Sanju Velani

In this paper, we show that Gibbs measures on self-conformal sets generated by a $C^{1 + I^\pm}$ conformal IFS on $R^{d}$ satisfying the OSC are exponentially mixing. We exploit…

math.DS2024

Shrinking targets versus recurrence: the quantitative theory

Jason Levesley, Bing Li, David Simmons +1

Let $X = [0, 1]$ , and let $T : X \to X$ be an expanding piecewise linear map sending each interval of linearity to $[0, 1]$ . For $I ¨ : N \to R_{\geq 0}$ , $x \in X$ , and $N\in…