Publications

Gaétan Leclerc, Haojie Ren. SRB measures and Fourier decay. (In progress)

Gaétan Leclerc, Mostafa Sabri, Tuomas Sahlsten. Fast dispersion in long range crystals (In progress.) 

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 parabolic C^1+ systems with overlaps. 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