Random reflections in a high-dimensional tube (CROSBI ID 230226)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Burdzy, Krzysztof ; Tadić, Tvrtko
engleski
Random reflections in a high-dimensional tube
We consider light ray reflections in $d$-dimensional semi-infinite tube, for $d\geq 3$, made of Lambertian material. The source of light is placed far away from the exit, and the light ray is assumed to reflect so that the distribution of the direction of the reflected light ray has the density proportional to the cosine of the angle with the normal vector. We present new results on the exit distribution from the tube, and generalizations of some theorems from an earlier article, where the dimension was limited to $d=2$ and $3$.
random reflections ; stopped random walks ; tail of the arccosine distribution ; undershoot ; overshoot
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
31
2018.
466-493
objavljeno
0894-9840
1572-9230
10.1007/s10959-016-0703-7