bio | website | |
---|---|---|
location | Cambridge | |
age | ||
visits | member for | 2 years, 8 months |
seen | 2 days ago | |
stats | profile views | 182 |
Mar 21 |
awarded | Popular Question |
Mar 5 |
awarded | Curious |
Mar 4 |
comment |
Central limit theorem with degenerate covariance matrix
Thanks Iosif. My question relates to the fact that before taking the limit in the CLT the (finite) sum of random vectors DOESN'T lie in this subspace, and it is these deviations I would like to quantify. |
Mar 4 |
asked | Central limit theorem with degenerate covariance matrix |
Nov 26 |
awarded | Commentator |
Nov 26 |
comment |
translation invariance of the Laughlin wave function
Isn't the quantity defined in question 1 just the probability to find k particles in D? Then the answer is evidently no, for the same naive reason. That is, if you put the disk where the density is small, the above probability is small. |
Nov 26 |
comment |
translation invariance of the Laughlin wave function
This is no problem: a droplet centered at $z_0$ may be obtained by adding a factor $e^{z_iz_0/2}$ for each coordinate, which retains the desired properties of the Laughlin state but shifts the density. |
Nov 26 |
comment |
translation invariance of the Laughlin wave function
If I could chip in: the question being posed is more basic, and is concerned with whether the density of the Laughlin state is translationally invariant. It is not, on account of the Gaussian factor, and this leads to a circular Quantum Hall droplet even for low $q$. |
Oct 31 |
revised |
Nature of separatrix in Fokker--Planck Hamiltonian with two degrees of freedom
Added figure |
Oct 30 |
asked | Nature of separatrix in Fokker--Planck Hamiltonian with two degrees of freedom |
May 4 |
comment |
Reference request: a differential equation in elementary geometry
If I map each circle of the torus stereographically to the line, then by your P.S. the equation becomes the equation for a straight line through the origin. |
Mar 7 |
comment |
A mysterious Heisenberg algebra identity from Sylvester, 1867
Very interesting! Graves essentially had the form of the star product. |
Dec 2 |
comment |
Calogero-Moser system: relationship between dual variables and the KKS construction
Yes, it appears in: Alexander G Abanov et al 2009 J. Phys. A: Math. Theor. 42 135201 (for the case of periodic boundary conditions) and Michael Stone et al 2008 J. Phys. A: Math. Theor. 41 275401. |
Oct 24 |
awarded | Yearling |
Oct 1 |
revised |
Calogero-Moser system: relationship between dual variables and the KKS construction
edited body |
Sep 30 |
revised |
Calogero-Moser system: relationship between dual variables and the KKS construction
edited tags |
Sep 30 |
asked | Calogero-Moser system: relationship between dual variables and the KKS construction |
Sep 11 |
awarded | Tumbleweed |
Jun 18 |
revised |
Similarity solutions of the imaginary time Benjamin--Ono equation
deleted 6 characters in body |
Jun 18 |
revised |
Similarity solutions of the imaginary time Benjamin--Ono equation
added 392 characters in body |