638 reputation
417
bio website math.kth.se/~ahardy
location Sweden
age 30
visits member for 4 years, 1 month
seen 18 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).


Jun
24
answered Semicircle law universality elsewhere
Jun
23
revised When should we expect Tracy-Widom?
Typo in the definition of the Airy kernel operator
May
25
revised Positivity of the Coulomb energy in two dimensions
"potential-theory" tags is added
May
25
suggested approved edit on Positivity of the Coulomb energy in two dimensions
Apr
9
awarded  Yearling
Feb
23
awarded  Revival
Feb
15
comment Most harmful heuristic?
Yes, and certainly because of that I remember to be shocked when I realized that a map like $x^2 \boldsymbol{1}_{\mathbb Q}(x)$ is continuous (with all derivatives continuous!) at zero.
Jan
12
comment Simple Spectrum of Jacobi matrices
Because the spectrum of an nxn truncation of a Jacobi matrix has for eigenvalues the zeroes of a degree n orthogonal polynomial, read the literature on OPs.
Dec
3
comment Geometric interpretation of the average of two independent Cauchy distributions
Can you precise what you mean by "average" ?
Dec
2
comment rigidity of eigenvalues of circular ensemble
@JohnJiang You're the welcome. I don't know what you have in mind, but I think this type of questions is interesting and I'd be glad to discuss more about it; please write to me at ahardy(you know what)kth.se
Nov
29
answered rigidity of eigenvalues of circular ensemble
Nov
22
answered Positivity of the Coulomb energy in two dimensions
Jul
2
awarded  Curious
May
8
answered Characteristic polynomials of certain random symmetric matrices and the complexity of random Morse functions
May
1
awarded  Popular Question
Apr
29
awarded  Popular Question
Feb
12
answered Markov-type functions
Dec
21
answered Usage of complex moments in complex plane
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.