bio | website | www-fourier.ujf-grenoble.fr/… |
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location | Grenoble, France | |
age | 33 | |
visits | member for | 4 years |
seen | 20 hours ago | |
stats | profile views | 2,655 |
I am a teacher and researcher at UniversitÃ© Joseph Fourier.
Apr 12 |
comment |
Deterministic shifts
There are a few strange points in your question, possibly misprints (e.g. in the conjugacy, I guess there is a $S_1$ and a $S_2$). With regard to question (1), why can't you use the same construction as in the previous §, taking $\Omega_2=\Omega_1^\mathbb{Z}$? |
Apr 11 |
comment |
$C^\infty$ approximations of $f(r) = |r|^{m-1}r$
@riem: math.SE seems more suited to me than MO for your question. Your question about bounds on $f_n$ and $f'_n$ is odd: starting from an approximation $f_n$, you can set $g_n=f_{2^n}$ to improve any bound you had. |
Apr 11 |
comment |
$C^\infty$ approximations of $f(r) = |r|^{m-1}r$
@PieroD'Ancona: this will not satisfy 4. (but by convexity one can then translate down the convolution to get 4.) |
Apr 7 |
awarded | Necromancer |
Apr 7 |
comment |
An equivalence relation for norms
Also, thinking about $\ell_p$'s one is tempted to say that if the group of linear mappings that preserves the strong equivalence class of a norm acts transitively on directions, then the norm should be strongly equivalent to $\ell_2$. |
Apr 7 |
comment |
An equivalence relation for norms
@alvarezpaiva: indeed I did not look at Willie's answer enough. I do not have any very precise idea; but you should probably kill the symmetry between $x$ and $y$ by writing them $z+v$ and $z-v$, thinking about $z$ as the direction you are looking at, and about $v$ as a perturbation of this direction. Most interesting things should happen when $v$ is relatively small. |
Apr 7 |
comment |
An equivalence relation for norms
As said by Suvrit, you are more or less (probably more than less) asking that the two norms have the same modulus of convexity "in each direction". In particular, no two $\ell_p$ norms are strongly equivalent. |
Apr 6 |
comment |
Holomorphic maps on $\mathbb{R}^{n}$ (for n not necessarily even)
Moreover conformal maps need not be holomorphic (even rotations can send a complex line to a totally real plane). |
Apr 5 |
comment |
Locally flat submanifold
See mathoverflow.net/questions/58061/… |
Apr 5 |
awarded | mg.metric-geometry |
Apr 1 |
comment |
curvature and volume growth
Could you give some background, motivation, and things you tried? |
Mar 31 |
awarded | Necromancer |
Mar 31 |
comment |
How many unit cylinders can touch a unit ball?
@WlodekKuperberg: if the two triples of cylinders move symmetrically, then this movement is satisfying step 1. This does not imply that it cannot happen, but that the statement "step 1 => lockedness" would rule out such a movement. |
Mar 31 |
awarded | Revival |
Mar 31 |
answered | How many unit cylinders can touch a unit ball? |
Mar 28 |
revised |
Furstenberg $\times 2 \times 3$ conjecture, bibliography
Added a clarification in response to Asaf comment. |
Mar 28 |
awarded | Nice Answer |
Mar 28 |
revised |
Low dimensional topological manifolds
added 12 characters in body |
Mar 27 |
answered | Low dimensional topological manifolds |
Mar 27 |
awarded | Yearling |