bio | website | |
---|---|---|
location | Cambridge | |
age | ||
visits | member for | 3 years |
seen | 21 hours ago | |
stats | profile views | 210 |
Jun 26 |
revised |
Stationary distribution of last passage percolation
Nature of stationary limit clarified |
Jun 26 |
comment |
Stationary distribution of last passage percolation
Thanks for the reply, Ofer. I'm actually looking for something a bit different from Johansson's result, which as you point out is not stationary in the sense that I'm after. On reflection the right way to phrase this is in terms of the Buseman functions |
Jun 25 |
revised |
Stationary distribution of last passage percolation
added 1 character in body |
Jun 25 |
asked | Stationary distribution of last passage percolation |
Jun 15 |
comment |
Infinitesimal variation of spectrum of Schrödinger operator with changing domain
Thanks Christian... could you elaborate what you mean by "extra" boundary condition? I want to move the boundary. |
Jun 12 |
asked | Infinitesimal variation of spectrum of Schrödinger operator with changing domain |
Jun 3 |
answered | No limit shape for random Young diagrams under z-measure? |
May 24 |
awarded | Nice Question |
May 18 |
awarded | Yearling |
May 18 |
asked | No limit shape for random Young diagrams under z-measure? |
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 |