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For questions requesting examples of a certain structure or phenomenon

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Accepted

Examples where Kolmogorov's zero-one law gives probability 0 or 1 but hard to determine which?

There's a set of good examples from percolation theory: http://en.wikipedia.org/wiki/Percolation_theory If you create a "random network" with a certain probability p of edges between nodes (see article …
Martin M. W.'s user avatar
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61 votes

Fundamental Examples

For a picture that launched a thousand papers, I'd nominate the bifurcation diagram of the logistic map. (image via Wikipedia). Answered by Martin M. W.