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Explore dynamically defined random fractals in this 51-minute lecture presented by Karoly Simon from Budapest University of Technology and Economics at the Banach Center. Delve into the fascinating world of mathematical structures that combine elements of chaos theory, geometry, and probability. Learn about the properties and applications of these complex, self-similar patterns generated through iterative processes with random elements. Gain insights into the mathematical foundations, computational techniques, and real-world applications of dynamically defined random fractals across various scientific disciplines.