These are some notes adapted from a 2h talk given at IMJ-PRG on November 27, 2023 (my birthday !) about a paper of M. Tsujii and Z. Zhang: « Smooth mixing Anosov flows in dimension three are exponential mixing ». I recently slighty generalized them (the associated paper can be found in the « preprint » page, under the name « On the fourier dimension of basic sets… »)