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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 просмотров • 1 год назад •via X (Twitter)

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Фото профиля Γ(z)
Γ(z)1 год назад

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

Фото профиля Jude Gomila
Jude Gomila1 год назад

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

Фото профиля Γ(z)
Γ(z)1 год назад

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? 🌀🐜

Фото профиля Steven Xu
Steven Xu1 год назад

This is just the heat equation, right???

Фото профиля Equation Persuasion
Equation Persuasion1 год назад

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

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