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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 次观看 • 1 年前 •via X (Twitter)

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Γ(z) 的头像
Γ(z)1 年前

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

Jude Gomila 的头像
Jude Gomila1 年前

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

Γ(z) 的头像
Γ(z)1 年前

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? 🌀🐜

Steven Xu 的头像
Steven Xu1 年前

This is just the heat equation, right???

Equation Persuasion 的头像
Equation Persuasion1 年前

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

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