Amlan Banaji

activity

20202026

most citedAttainable forms of intermediate dimensions

17 citations · 77 across the 17 of their papers we have counts for

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3 papers · 1 filter

math.DS2026

Fourier transform of nonlinear images of self-similar measures: qualitative aspects

Amlan Banaji, Han Yu

The goal of this paper is to establish polynomial Fourier decay for images of self-similar measures $μ$ on $R^{k}$ under sufficiently nonlinear real-analytic maps $f \colon…

math.CA2026

Attainable forms of lower spectra

Amlan Banaji, Haipeng Chen, Alex Rutar +1

Let $d \in N$ and $φ : (0, 1) \to [0, d]$ . We prove there exists a set $F \subset R^{d}$ whose lower spectrum $dim_{L}^{θ} F$ satisfies $(1-θ)\oper…

math.DS2026

Self-similar and self-conformal measures with slow Fourier decay

Simon Baker, Amlan Banaji

Given any function $ϕ : [0, \infty) \to (0, 1]$ satisfying $lim_{ξ \to \infty} ϕ (ξ) = 0$ , we prove the existence of i) self-similar measures and ii) nonlinear $C^{\infty}$ self-conf…