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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