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This lecture covers the ergodic properties in exponential dynamics, focusing on the dense orbits of generic points and the sketching of specific functions. The instructor discusses various results and theorems related to the exponential dynamics, including the expansion properties and the density of orbits. The lecture delves into the concept of ergodicity and conservative systems, emphasizing the real-analytic density on specific sets. Additionally, it explores the connection components and the sketching of exponential dynamics in a detailed manner.