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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 views • 1 year ago •via X (Twitter)

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Γ(z)1 year ago

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

Jude Gomila's profile picture
Jude Gomila1 year ago

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

Γ(z)'s profile picture
Γ(z)1 year ago

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's profile picture
Steven Xu1 year ago

This is just the heat equation, right???

Equation Persuasion's profile picture
Equation Persuasion1 year ago

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

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