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Intellectually Curious

The Diffusion Blueprint: How the Heat Equation Connects Toast, Geometry, and Finance

5 min28 december 2025

A deep dive into Fourier's heat equation—the Laplacian, thermal diffusivity, and heat kernels—and how a simple smoothing principle unifies physics, geometry, image processing, and even financial markets. From a hot piece of toast cooling on the counter to Brownian motion in markets, this episode reveals the astonishing reach of one elegant PDE.


Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

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