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location Cambridge
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visits member for 2 years, 8 months
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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