Design Library
The Airy sheet: one sample
by borodin
FreeCC BYSketchfab
One sample of the prelimit Airy sheet S(x,y) on [-1.5,1.5]^2, from exponential last-passage percolation (n = 8000) with both endpoints varying, on a 251 x 251 grid, after KPZ rescaling. Its mean shape is the ridge -(x-y)^2. The texture runs parallel to the axes: geodesics with nearby endpoints share
This design is hosted on Sketchfab. Its files download from there, under the licence shown.
| Licence | CC BY |
|---|---|
| Source | Sketchfab |
| Designer | borodin |
| Attribution | borodin on Sketchfab · CC-BY 4.0 (attribution required) · Attribution required |
One sample of the prelimit Airy sheet S(x,y) on [-1.5,1.5]^2,
from exponential last-passage percolation (n = 8000) with both endpoints
varying, on a 251 x 251 grid, after KPZ rescaling. Its mean shape is the ridge
-(x-y)^2. The texture runs parallel to the axes: geodesics with nearby endpoints
share their middle, so locally S(x,y) = f(x) + g(y) (Basu-Ganguly-Hammond).
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