The Diffusion Blueprint: How the Heat Equation Connects Toast, Geometry, and Finance
About this episode
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.
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