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Feb
10
reviewed Approve 3-dimensional vectors satisfying certain equalities
Feb
6
comment continuous vs discrete random walk
As far as I understand, the question starts with a sum of probabilities of disjoint events equal to $2$. Either it needs to be clarified, or the question makes no sense. For now I vote to close, but improvements may make me reconsider.
Feb
4
reviewed Approve random-graphs tag wiki excerpt
Feb
4
reviewed Approve extremal-graph-theory tag wiki excerpt
Feb
2
comment When are two proofs of the same theorem really different proofs
Interestingly, while the question is about distinguishing two proofs of the same result, here we end up considering (quite casually) the same proof of two different results (the Theorem cited, and each generalization is said to have "a same proof"). This seems also difficult to formalize, although it is intuitively clear.
Feb
1
comment pizza lemma (topology)
This question prompts the question of the regularity in the Jordan-Schoenflies theorem, in term of the regularity of the curve. A good knowledge of the later should be the main part of an answer of the former.
Jan
17
comment Two definitions of Lebesgue covering dimension
@Glimm: I would have a look to the long ray, but I do not have an argument (yet?).
Jan
13
revised Is displacement controled by stable norm?
Corrected a typo
Jan
6
comment Minimal volume of manifold homotopic to a hyperbolic manifold with finite volume
You did not asked a question, but I guess you wonder how the two point you mention can be compatible. Isn't it simply that Storm's result is only for complete manifolds without boundary?
Dec
28
comment Exponential map and hyperbolic invariant set
This question lacks context. You don't even mention what kind of dynamical system you consider and you don't define your notation; while much can be guessed given the question, it is difficult to give any relevant answer unless you give us more information. Most likely, what you want will only be satisfied in very specific cases.
Dec
15
comment Compact Eucledean hypersurfaces with “almost” constant H_k curvature
@MariaChiaraBertini: this extra information should be made more precise and included in the question. Otherwise it will be difficult to give a good answer.
Dec
15
comment Compact Eucledean hypersurfaces with “almost” constant H_k curvature
As it is currently formulated, the question has an easy negative answer: a smoothed out cube is far from a sphere, but can be made flat outside a set of arbitrarily small measure. I guess that what you want is an integral pinching of $H_k$ or something like that?
Nov
27
comment Distance between two knots
See also his ICM2006 lecture and references therein mathunion.org/ICM/ICM2006.1/Main/icm2006.1.0247.0278.ocr.pdf
Nov
27
comment Distance between two knots
I heard about this from Étienne Ghys, who with Gambaudo proved that the set of knots with the Gordian distance contains bi-Lipschitz copies of $\mathbb{Z}^n$: archive.numdam.org/ARCHIVE/BSMF/BSMF_2005__133_4/…
Nov
26
awarded  Nice Answer
Nov
25
comment A new result on the Diophantine equation $x^3 + y^3 +z^3 = 3$
@Tatenda: sorry, I forgot about this part. I never worked in the US, but I think that managing to publish a genuine paper in a serious mathematical journal, however lesser it can be on the scale of glamor, is quite an achievement at your stage and will be regarded as such. No need to try to aim the highest journals, just do it right.
Nov
25
answered A new result on the Diophantine equation $x^3 + y^3 +z^3 = 3$
Nov
25
awarded  Nice Question
Nov
25
revised Finite-space dynamical systems
Added a new reference.
Nov
22
comment Ergodic theory: from Dynamics to Gibbs measure
"As I understand, ergodic theory states that $\mu$ is unique" unique given which property? Usually maps or families of maps may have many different ergodic measures. Also, you did not tell what is $E$. I think you first need to clarify a few things before your question can be made answerable. Did you have a serious look at the suggested references already?