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bio website jamespropp.org
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I am interested in combinatorics, probability, dynamical systems, and various other topics.


Apr
11
awarded  Nice Question
Apr
10
awarded  Nice Question
Apr
10
revised Dividing by two in the category of vector spaces
added 50 characters in body
Apr
10
comment Dividing by two in the category of vector spaces
Eric, like Todd, is 100% right. I've updated the question accordingly.
Apr
10
revised Dividing by two in the category of vector spaces
Changed SL to GL
Apr
10
comment Dividing by two in the category of vector spaces
You're quite right! I wrote "$SL$" unthinkingly. I'll fix the post (leaving tracks so that your comment still makes sense to later readers).
Apr
10
asked Dividing by two in the category of vector spaces
Apr
8
comment Transitivity of balanced mass transport in Z
I believe that the measure that assigns mass 1 to every integer $n \geq 1$ is not equivalent under $\sim$ to the measure that assigns mass 1 to every integer $n \geq 0$, but I suspect that if I tried to write down a proof I'd need to use the uniform boundedness assumption.
Apr
6
revised Transitive closure of balanced mass transport in Z (move to close)
deleted 13 characters in body; edited title
Apr
6
asked Transitivity of balanced mass transport in Z
Apr
6
revised Transitive closure of balanced mass transport in Z (move to close)
added 401 characters in body
Apr
4
revised Transitive closure of balanced mass transport in Z (move to close)
deleted 209 characters in body
Apr
4
comment Transitive closure of balanced mass transport in Z (move to close)
Quite right! Thanks.
Apr
4
comment Transitive closure of balanced mass transport in Z (move to close)
Thanks for providing more details! However, I am still not convinced. The part of the argument that I'd like to see elaborated is "So I can continue indefinitely in this style". Applying the move an indefinite but finite number of steps is fine; but it is not clear that performing the operation infinitely many times keeps one in the same $\approx$ equivalence class. To justify this one needs to show that the sequence of measures converges in the total variation metric, and that does not seem to be the case here.
Apr
3
revised Transitive closure of balanced mass transport in Z (move to close)
deleted 14 characters in body
Apr
3
revised Transitive closure of balanced bounded mass transport
added 91 characters in body
Apr
3
revised Transitive closure of balanced mass transport in Z (move to close)
I was able to show (I think!) that $\sim$ is not transitive.
Apr
3
revised Transitive closure of balanced mass transport in Z (move to close)
I was able to show (I think!) that $\sim$ is not transitive.
Apr
2
revised Transitive closure of balanced mass transport in Z (move to close)
added 28 characters in body
Apr
2
revised Transitive closure of balanced bounded mass transport
added 172 characters in body