We uncover phantom cities defined by riverine logic: buried systems (medieval rivers and culverted canals), drowned landscapes (post-glacial river basins now submerged), and canalized rivers forgotten in the city’s routine. From Perugia’s 13th-century aqueduct to London’s Lost Rivers and modern restoration efforts, archaeology, geophysics, and proactive urban design are reviving these invisible streams to inform resilient futures. Note: This podcast was AI-generated, and sometimes AI can mak...
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We uncover phantom cities defined by riverine logic: buried systems (medieval rivers and culverted canals), drowned landscapes (post-glacial river basins now submerged), and canalized rivers forgotten in the city’s routine. From Perugia’s 13th-century aqueduct to London’s Lost Rivers and modern restoration efforts, archaeology, geophysics, and proactive urban design are reviving these invisible streams to inform resilient futures. Note: This podcast was AI-generated, and sometimes AI can mak...
The Hidden Driver of Big Networks: Perron–Frobenius and the Long-Run Shape of Complex Systems
Intellectually Curious
3 minutes
1 week ago
The Hidden Driver of Big Networks: Perron–Frobenius and the Long-Run Shape of Complex Systems
A deep dive into the Perron–Frobenius theorem, from its origins with Perron and Frobenius to its role in irreducible nonnegative matrices. We unpack the guaranteed real, positive dominant eigenvalue (the Perron root) and its positive eigenvector, and explain how this single driver predicts long-run behavior in sprawling networks—think web graphs, population models, and the spread of ideas. Learn why this math provides a stable, unique destination for complex systems and how it underpins relia...
Intellectually Curious
We uncover phantom cities defined by riverine logic: buried systems (medieval rivers and culverted canals), drowned landscapes (post-glacial river basins now submerged), and canalized rivers forgotten in the city’s routine. From Perugia’s 13th-century aqueduct to London’s Lost Rivers and modern restoration efforts, archaeology, geophysics, and proactive urban design are reviving these invisible streams to inform resilient futures. Note: This podcast was AI-generated, and sometimes AI can mak...
