G. Leclerc

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20212026

most citedJulia sets of hyperbolic rational maps have positive Fourier dimension

4 citations · 4 across the 8 of their papers we have counts for

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Showing 2025 · math.DSShow all

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math.DS2025

Fourier decay of equilibrium states and the Fibonacci Hamiltonian

Gaétan Leclerc

We show power Fourier decay for equilibrium states of nonlinear, area preserving, smooth Axiom-A diffeomorphisms on surfaces. This implies positivity of the lower Fourier dimension…

math.DS2025

Fourier decay in parabolic $C^{1 + α}$ systems with overlaps

Gaétan Leclerc, Sampo Paukkonen, Tuomas Sahlsten

We establish power Fourier decay for equilibrium states of parabolic $C^{1 + α}$ iterated function systems with overlaps satisfying a multiscale nonlinearity condition. This class in…

Fourier decay of equilibrium states and the Fibonacci Hamiltonian

Fourier decay in parabolic C1+α systems with overlaps

Fourier decay in parabolic $C^{1 + α}$ systems with overlaps