are you thinking like arrival processes then?
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yup...solved one such "queue inequality" problem for phd. Twitter is time, not space. Streams in general, space metaphors bad
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not even topological space? like is there only one point where events arrive?
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irreversibility is a bitch. Can't think of any topological space that models time.
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possibly something related to sigma algebras might allow you to turn time into probability space by axiomatizing 2nd law
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I'm thinking in a discrete time model there is a concept of an event and a point where the event arrives—is there only one point?
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there can be many, but they can only influence other points in one "direction"...
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ok so if you have a patio with a (conical) umbrella, & it rains—the 3d shape of the umbrella makes more rain fall around its perimeter?
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if the patio was a probability space and the rain was (otherwise) uniformly distributed…
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quincunx transform is a cleaner visualization of time/event stream to probability space via directed acyclic 'gravity' graph

