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Explore the complex relationship between city size, shape, scale, and performance through the lens of percolation theory in this seminar by renowned urban planner and geographer Professor Mike Batty. Delve into the qualitative changes cities undergo as they grow, challenging the notion that "bigger is better" by examining how urban performance varies across different indicators. Learn about innovative approaches to defining cities spatially using percolation theory, which fractures nations into regions and cities across multiple hierarchical levels. Discover how this bottom-up method of city definition provides greater flexibility and often refutes the idea that larger cities always offer more advantages. Gain insights into the controversial aspects of urban growth, including the impact of globalization and income inequalities in larger cities. Examine case studies from the UK, US, and Europe, analyzing urban indicators and heatmaps to better understand the complex dynamics of city development and performance.