Some writings and notes

Here I post some writings and notes that I have prepared during my time as a student. I hope it can be interesting for those who read it.

Naturally, they might contain errors. If you find any, I would be grateful to receive your comments: please send me an email at ocosta@imj-prg.fr.

• Notes about Fubini Foiled. These are some study notes I’ve written during the program Big Ideas in Dynamics in the Spring of 2023. The program has uploaded several expository papers and videos to its repository page, all around the topic of Pathological Foliations.
• Unique ergodicity of the horocycle flow via hyperbolic dynamics (my master’s thesis, which I completed under the guidance of professor Bruno Santiago (UFF) and professor Sébastien Alvarez (UdelaR) in 2022)
• Conley’s Theorem (notes for a reading course organized by professor Lorenzo J. Díaz (PUC-RJ) in the second semester of 2021)