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Wednesday, July 23, 2008

sneaking out, reading maths.

  1. i should really be cleaning out my last belongings from my office.

  2. i should be LaTeXing, so that i can have a complete (first) draft of an article, in case friends are willing to read and to critique it.

  3. i should be reading certain papers and thinking about certain problems, because .. well, i promised some colleagues that i would.
however, i have only done one of the above things lately. i must say: dust collects in the office.

as for things that are not pending, yesterday afternoon i sat down and read some work of @l6erti et al. this concerns a notion of "ditributi0nal jac06ian" as given by a magical formula: the idea is that one can compute formally the jac06ian of a map between euclidean spaces to be an exact differential form, when the map is sufficiently smooth. then one runs with the idea and works with the theory of ditributi0ns, in order for things to make sense.



i want to say more about this -- nothing expert, of course, because this is not my area -- but why i think this stuff is cool. among my reasons are how it relates to some other ideas that colleagues of mine (in n0nlinear el@ticity and the ca1culu of v@riati0ns) have been kicking around, and how this relates to ge0metric mea$sure theory and n0rmal curr3nts.

anyways, i'll leave it at that. there are three types of things that i should be doing instead of blogging and reading "new" mathematics, after all!

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