bio | website | jamespropp.org |
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location | ||
age | ||
visits | member for | 5 years, 2 months |
seen | 43 mins ago | |
stats | profile views | 2,298 |
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 |