49:50
publiée le 28 octobre 2024
A Borovik-Cherlin bound for primitive pseudo-finite permutation groups
De Nicholas Ramsey
Apparaît dans la collection : 2024 - T2 - WS2 - Group actions with hyperbolicity and measure rigidity
We prove polynomial Fourier decay for self conformal measures w.r.t a real C^2 smooth IFS, under mild non-linearity assumptions. One of the key ingredients in our argument is a cocycle version of Dolgopyat's method that is used to study the transfer operator. In particular, our version of Dolgopyat's method does not require the cylinder covering of the underlying fractal to be a Markov partition. Joint with Amir Algom and Zhiren Wang.