You can find my preprints here:

1. SRB measures for hyperbolic attractor in low regularity, Journal of Dynamical Systems Taylor and Francis. (PDF in Arxiv)  

Abstract: We consider a $C^1$ hyperbolic attractor, and prove the existence of a physical measure provided that the differential satisfies some summability condition which is weaker than Hölder continuity. 

2. Topology of the space of measure-preserving transformations of the circle. (Collaboration with Hamza Ounesli, PDF in Arxiv )

Abstract: We prove that the space of $C^1$ expanding maps of the circle preserving Lebesgue measure is arc-connected. The techniques involved in the proof are rather unexpected and lead to a formulation of a general questions.

3. Mixing speed and stability of SRB measures through optimal transportation. (Collaboration with Benoît Kloeckner, PDF in Arxiv  )

Abstract: It is well-known that the SRB measure of a $C^{1+\alpha}$ Anosov diffeomorphism has exponential decay of correlations with respect to Hölder-continuous observables. We propose a new approach to this phenomenon, based on optimal transport.