bio | website | math.kth.se/~ahardy |
---|---|---|
location | Sweden | |
age | 29 | |
visits | member for | 3 years, 10 months |
seen | 18 hours ago | |
stats | profile views | 985 |
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).
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 |
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 |
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 |