bio  website  wwwirma.ustrasbg.fr/… 

location  Strasbourg  
age  38  
visits  member for  3 years, 2 months 
seen  18 mins ago  
stats  profile views  1,751 
I'm working on complex dynamical systems, more specifically on the local/global aspect of singular holomorphic foliations in the complex plane
2d

reviewed  Approve integer solutions of $ (n!+1)=m^2$ 
Aug
13 
reviewed  Approve Determine if an $n$dimensional mesh of simplices is a nonmanifold 
Aug
7 
comment 
Characterizations of cycloid
Have you tried mathcurve.com/courbes2d/cycloid/cycloid.shtml? It's in French, but the website is full of relationships between curves, maybe you'll find «new» characterizations. 
Aug
5 
reviewed  Approve Uniform $L_1$ convergence implies uniform convergence pointwise a.e. 
Jul
28 
reviewed  Reject arithmetic progressions with few primes 
Jul
10 
comment 
Two limit cycles which lie on the same leaf
Dear Ali, have you tried to write down an example? Can you mention what you have tried so far? I particularly think about the article by Llibre and Rodriguez «Configurations of limit cycles and planar polynomial vector fields» where you encounter explicit examples of planar polynomial vector fields with prescribed topological configuration of limit cycles. I'm sure you can answer one of the two questions you raise here by following the work in the article. But you must mention the effort you provided with respect to your problem! 
Jun
26 
reviewed  Approve A delicate elementary inequality 
Jun
22 
comment 
Two vector fields are cojugate but not take orbits
Looks like homework to me... 
Jun
20 
reviewed  Approve Reference request: Intrinsic definition of the strong Whitney topology on $\mathcal{C}^{\infty}(M,\mathbb{R})$ without using charts or jets 
Jun
19 
comment 
Classification of complex Kronecker foliations
The additive and multiplicative actions are related through the exponential mapping. 
Jun
19 
comment 
Classification of complex Kronecker foliations
Yes, obviously you're right, the torus is the quotient of $\mathbb C^*$. 
Jun
19 
comment 
Classification of complex Kronecker foliations
Anyway, the question I understand here is to describe the set of $\theta$ for which the induced foliations are topologically equivalent, right? 
Jun
19 
comment 
Classification of complex Kronecker foliations
Well… for $n\in\mathbb Z$ you have a diffeomorphism $x\mapsto x\alpha^n$. Similarly the additive $\mathbb Z^2$action is given by $(n,m)\cdot x=x+n+m\tau$, which corresponds to $\tau=i$ in your example. 
Jun
19 
comment 
Classification of complex Kronecker foliations
You have a multiplicative action $x\mapsto x\alpha$ for $\alpha\neq 0$, for instance, and the quotient is a torus if $\alpha$ is not real. Anyway, I understood that you were speaking about translation, but there still is an ambiguity, as the action of $\mathbb Z^2$ on $\mathbb C$ usually depends on a complex nonreal parameter $\tau$.So I take it that $\tau=i$ here. 
Jun
19 
reviewed  No Action Needed Determinant of a Certain PositiveDefinite Block Matrix 
Jun
19 
reviewed  Approve Counterexamples to Kollár's conjecture 
Jun
19 
comment 
Classification of complex Kronecker foliations
Could you please describe what are those "obvious" actions ? I can think of different ones, and don't know which is the one you refer to. 
Jun
19 
reviewed  Approve Counterexamples to Kollár's conjecture 
Jun
16 
reviewed  Approve Borel subsets of Polish groups 
Jun
15 
reviewed  Approve Non meager rectangle 