A new note on the RAGE theorem and the Fibonacci Hamiltonian here.
Gaétan Leclerc. Fourier decay of equilibrium states and the Fibonacci Hamiltonian. Preprint (2025). arXiv:2507.23731
Gaétan Leclerc, Sampo Paukkonen, Tuomas Sahlsten. Fourier Dimension in C^1+ Parabolic Dynamics. Preprint (2025) arXiv:2505.15468
Ismael Bailleul, Nguyen Viet Dang, Léonard Ferdinand, Gaétan Leclerc, Jiasheng Lin. Spectrally cut-off GFF, regularized Phi4 measure, and reflection positivity. Accepted in Annales Henri Poincaré (2023). arXiv:2312.15511
Gaétan Leclerc. Fourier decay of equilibrium states on hyperbolic surfaces. Preprint (2023).
arXiv:2307.10755
Gaétan Leclerc. Fourier decay of equilibrium states for bunched attractors. Nonlinearity 37 095020. arXiv:2301.10623 doi:10.1088/1361-6544/ad6052
Gaétan Leclerc. On oscillatory integrals with Hölder phases. Discrete and Continuous Dynamical Systems 44(1) (2023). arXiv:2211.08088 doi:10.3934/dcds.2023103
Gaétan Leclerc. Julia sets of hyperbolic rational maps have positive Fourier dimension. Commun. Math. Phys. 397, 503–546 (2023). arXiv:2112.00701 doi:10.1007/s00220-022-04496-6
My PhD Thesis: Nonlinearity, Fractals, Fourier decay -- Harmonic analysis of equilibrium states for hyperbolic dynamical systems
My Master Thesis: Fourier transform of (fractal) measures and applications
Some notes about Riemannian Geometry: Riemannian geometry and geometric analysis
Some notes about analytic number theory (in french): Theorie analytique des nombres
A beamer about the Bochner Laplacian (in french): Le Laplacien de Bochner et Riemann-Roch