G. Leclerc

activity

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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3 papers · 1 filter

math.SP2025

A note on the RAGE Theorem and phase-averaged dispersion for the Fibonacci Hamiltonian

Gaétan Leclerc

We find a weaker condition on spectral measures, "eventual absolute continuity", that ensure quantum delocalization as in the RAGE Theorem in the case of purely absolutely continuo…

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…

A note on the RAGE Theorem and phase-averaged dispersion for the Fibonacci Hamiltonian

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