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An exercise about ants and first passage processes, solved through the bounded diffusion equation (Exercise 3, Unit 12, B3, MS327, OU). Within my brain, the concept of ants is associated to Hofstadter’s masterpiece: the GEB, specially, to both the Prelude and … Ant Fugue.

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Γ(z)

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23,519 Aufrufe • vor 1 Jahr •via X (Twitter)

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Profilbild von Γ(z)
Γ(z)vor 1 Jahr

Of course, I also think about O. Wilson (mentioned in the GEB, actually).

Profilbild von Jude Gomila
Jude Gomilavor 1 Jahr

have you ever tried to model why ants fall into those giant ant death spirals?

Profilbild von Γ(z)
Γ(z)vor 1 Jahr

I haven’t but sounds interesting. I’m aware that some molecular (pheromonal) communication models are based on the diffusion equation. How would you model the ant mill? 🌀🐜

Profilbild von Steven Xu
Steven Xuvor 1 Jahr

This is just the heat equation, right???

Profilbild von Equation Persuasion
Equation Persuasionvor 1 Jahr

Nice! Haha Bach is my goto for math music as well.

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