513 reputation
313
bio website math.kth.se/~ahardy
location Sweden
age 28
visits member for 2 years, 10 months
seen 10 hours ago

Since September 2013, I am a postdoctoral researcher at the Royal Institute of Technology (KTH), mainly working in random matrix theory.

I obtained my PhD degree from KU Leuven (Belgium, with Arno Kuijlaars) jointly with the University of Toulouse (France, with Michel Ledoux).


Apr
1
answered When should we expect Tracy-Widom ?
Feb
12
answered Markov-type functions
Dec
21
answered Usage of complex moments in complex plane
Dec
6
asked Interpret some coefficients in algebras
Nov
20
awarded  Autobiographer
Nov
16
comment Statistical models in terms of families of random variables
I'm kind of lost: as Michael Greinecker recalled, you can always build a huge probability space in which all your variables live, whatever $\Theta$ is, thanks to the tensor product construction. Then, maybe the "natural" topology you look for just the convergence in distribution of random variables ? In this case, that $x:\Theta\rightarrow L$ is continuous is by definition equivalent to $P:\Theta\rightarrow \Delta(X)$ continuous. But maybe I misunderstood the question.
Jun
25
awarded  Promoter
Jun
12
answered What are some examples of mathematicians who had an unconventional education?
Jun
5
asked “Spectral decomposition” action on the unitary group
Jun
1
awarded  Yearling
May
5
comment A sufficient condition for a probability measure to have compact support
Yes, it does ! By any chance do you know if there is a similar characterization involving $C_\mu$ ?
May
5
accepted A sufficient condition for a probability measure to have compact support
May
5
revised A sufficient condition for a probability measure to have compact support
added 70 characters in body
May
5
asked A sufficient condition for a probability measure to have compact support
Apr
27
comment What does the $q$-Catalan Numbers count?
I'm not sure the $q$-Catalan numbers "count things", since they are not integers
Apr
19
comment Notation for a functional L2 matrix norm
Well, for finite dimensional spaces, like $2\times 2$ matrices, all norms are equivalent. Thus, chose your favorite norm on $2\times 2$ matrices (I'd chose the $\sup$ over the coefficients), and then take the $L^2$ norm (with respect to $z$) of it. That's what I'll use for $\|v\|_{L^2(\Sigma)}$.
Mar
3
comment What is a Gaussian measure?
Hi Tom. At least for a real Banach space $X$, one may define a Gaussian measure $\gamma$ on $X$ by duality, that is a measure such that for any $f\in X^*$, $f_*\gamma$ is a (real) Gaussian measure. Maybe it does not help to much, but my point is that, for me, this is more about duality than projections. (see e.g. en.wikipedia.org/wiki/Abstract_Wiener_space)
Feb
26
comment Genus of Y^3 = X^4 - 1.
"the genus" of a planar curve ?
Jan
11
answered Is there a (standard) name for $\bar{A}\setminus A$?
Jan
7
awarded  Nice Answer