Simon Baker

activity

20152026

most citedPolynomial Fourier decay for fractal measures and their pushforwards

6 citations · 7 across the 7 of their papers we have counts for

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Showing 2024 · math.DSShow all

2 papers · 2 filters

math.DS2024★ 1 cited

On the strong separation condition for self-similar iterated function systems with random translations

Simon Baker, Derong Kong, Zhiqiang Wang

Given a self-similar iterated function system $Φ = {ϕ_{i} (x) = ρ_{i} O_{i} x + t_{i}}_{i = 1}^{m}$ acting on $R^{d}$ , we can generate a parameterised family of iterated function systems b…

math.DS2024★ 6 cited

Polynomial Fourier decay for fractal measures and their pushforwards

Simon Baker, Amlan Banaji

We prove that the pushforwards of a very general class of fractal measures $μ$ on $R^{d}$ under a large family of non-linear maps $F : R^{d} \to R$ exhi…