S. Velani

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20242026

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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.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…