List questions from percolation

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2-dimensional percolation and a random graph

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626

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Edge percolation on $\mathbb{Z}^2$: probability that two neighbouring vertices are connected?

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1.4k

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How is percolation defined and measured in social networks?

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151

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A spaceship travelling to infinity while avoiding star collisions

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212

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Percolation and number of phases in the 2D Ising model.

Published on 25 Mar 2026 - 5:02

475

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Size of connected regions on a randomly-colored infinite chessboard

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378

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Colored path in a randomly colored grid

Published on 25 Mar 2026 - 4:54

622

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The problem of the most visited point.

Published on 25 Mar 2026 - 4:57

154

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The probability that two adjacent vertices are connected with percolation probability $p = 1/2$.

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628

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Total number of nodes in critical Galton-Watson process

Published on 25 Mar 2026 - 5:03

32

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Area of Shaded Regions in Randomly Generated Plots

Published on 25 Mar 2026 - 5:01

39

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Explain why $P(\{\# C^p(y)=\infty\})=P(\{\# C^p(0)=\infty\})$. (Percolation)

Published on 25 Mar 2026 - 4:57

161

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How to show that the probability that $\mathbb{Z}^d$ is internally spanned is equal to 1? (bootstrap percolation)

Published on 22 Apr 2026 - 15:54

48

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Average time bootstrap percolation

Published on 23 Apr 2026 - 14:09

List Question

Placing spheres uniformly at random over $\mathbb{R}^3$

2-dimensional percolation and a random graph

Edge percolation on $\mathbb{Z}^2$: probability that two neighbouring vertices are connected?

How is percolation defined and measured in social networks?

A spaceship travelling to infinity while avoiding star collisions

Percolation and number of phases in the 2D Ising model.

Size of connected regions on a randomly-colored infinite chessboard

Colored path in a randomly colored grid

The problem of the most visited point.

The probability that two adjacent vertices are connected with percolation probability $p = 1/2$.

Total number of nodes in critical Galton-Watson process

Area of Shaded Regions in Randomly Generated Plots

Explain why $P(\{\# C^p(y)=\infty\})=P(\{\# C^p(0)=\infty\})$. (Percolation)

How to show that the probability that $\mathbb{Z}^d$ is internally spanned is equal to 1? (bootstrap percolation)

Average time bootstrap percolation

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