Reconstruction of sparse network dynamics from data

Abstract

To all my old and new friends who accompanied me throughout this path. Directly or indirectly all of you offered something that I carried during these years. Undoubtedly, I am truly thankful.To my partner and friend, Larissa Regina Diniz, for her support, understanding, and love, and for providing a listening ear during moments of doubt. From COVID-19 quarantine to a long-distance relationship, we faced together different adventures. You definitely have a part in the conclusion of this thesis.Lastly, I am grateful to Edmilson dos Santos, Gabriela Roque dos Santos, and Rojanira Roque dos Santos, my family, for their constant encouragement, understanding, and love. My full gratitude for all their investment of time, patience, and support during not only the last five years but 21 and 29 years (hu3!), respectively. This thesis would not have been possible without their support. Thanks for being a part of this journey.Palavras-chave: Dinâmica de redes, redes esparsas, sistemas dinâmicos, teoria ergódica, métodos de recuperação esparsa.