Applications of the Extremal Functional Bootstrap

Abstract

I want to thank my parents for their endless support in this and all my previous adventures. I am thankful to my girlfriend Camila and to her family for helping me through the many challenges I encountered on this sometimes bumpy path. I thank my adviser Diego Trancanelli for having me as his student and for his helpful advice. I want to thank Edoardo Vescovi who helped me understand many concepts that I would not have grasped without him and motivated me greatly with his seemingly limitless work ethic. I am also thankful to have spent my time together with a great group of peers: Gabriel, Daniel, Felipe, Leo, Márcia and Caio. I also want to thank João Penedones and Miguel Paulos for their very helpful discussions and their patience when answering my questions. Of course, I want to give special thanks to the DAAD who made my entire stay in Brazil and therefore this dissertation possible.