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Explore complex dynamics in the tropics through a 42-minute conference talk on deformations of one-dimensional maps. Delve into various types of one-dimensional maps, topological classes, smooth curves, and hybrid classes. Examine unique and continuous integrability, sigma functions, and checkable conditions. Investigate piecewise expanding maps, bounded functions, and linear continuous functions through examples. Analyze distributions, strong mixing, correlation, integration, and conjugacy. Discuss observatories, discontinuity, and preliminary results. This talk, presented by D. Smania at the Instituto de Matemática Pura e Aplicada, is part of an international congress celebrating Carsten Lunde Petersen's 60th birthday, uniting prominent researchers in the field to discuss the state of the art in complex dynamics.
