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Jan
30
awarded  Yearling
Jan
15
awarded  cv.complex-variables
Jan
14
awarded  Good Answer
Jan
13
awarded  Necromancer
Nov
19
comment Reference for instability of Newton basins of polynomials at “separation” of a multiple root
Laura deMarco's and Jan Kiwi's work might be relevant, if memory serves.
Nov
15
answered Reference for instability of Newton basins of polynomials at “separation” of a multiple root
Nov
11
comment What are some very important papers published in non-top journals?
@quid Fair enough. In that case, nice answer. ;)
Nov
7
comment What are some very important papers published in non-top journals?
I took his approval to apply more to the Doc. Math. paper given in the same answer. I have trouble thinking of GAFA or Adv. Math. as "middle-ranking journals" as stated in the question. And if it becomes "papers that are good enough to have appeared (e.g.) in the Annals but were published instead in another very high-quality, but not quite-as-good journal" then it just seems to become extremely broad to me. No disrespect at all to the fantastic papers cited, of course!
Nov
6
comment What are some very important papers published in non-top journals?
To quote the OP, "I am therefore interested to know of examples of papers that are very important, but are published in middle-ranking journals." I have to admit that I have trouble classing Adv. Math. as a "middle-ranking journal".
Nov
6
comment What are some very important papers published in non-top journals?
Does GAFA not count as a "top journal"? It may not quite be on a par with Annals/Acta/Inventiones/JAMS in terms of reputation, but I would think it is generally held in pretty high esteem.
Oct
20
awarded  Custodian
Oct
20
reviewed Close Equivalent measures on algebra also equivalent on $\sigma$-algebra?
Oct
20
reviewed Close Is a conditional copula invariant under strictly increasing transformations?
Oct
20
answered Is an entire function, with nowhere vanishing derivative, always a covering map?
Oct
14
answered A question on Ahlfors covering surface
Oct
13
comment Mathematical research published in the form of poems
Of course, there is the additional question of what makes a "poem". I have certainly made up some mathematical rhymes to (hopefully) amuse the audience at talks, but I would not go so far as to consider them poetry ...
Oct
13
comment Are the algebraic numbers dense everywhere on the boundary of the Mandelbrot set?
Saying something about more restrictive domains would be substantially more difficult, I believe. In particular, when it comes to the Gaussian rationals, this is obviously a much smaller set, and Misiurewicz parameters are not generally of this form. Techniques similar to those used in the study of the field of moduli of a dessin d'enfant might, however, be useful here.
Oct
13
revised Are the algebraic numbers dense everywhere on the boundary of the Mandelbrot set?
added terminology
Oct
12
awarded  Nice Answer
Oct
11
comment Are the algebraic numbers dense everywhere on the boundary of the Mandelbrot set?
@PerAlexandersson If the coefficients of the function are algebraic, then clearly the periodic points are algebraic, and repelling periodic points are in the Julia set. On the other hand, if your function is not algebraic, it seems unclear why one should expect algebraic points in the Julia set in general.