Geodesic
About the number of step functions with restrictions
Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 4, pp. 625-651

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain an asymptotic formula for the number of scaled step functions with restrictions on the length and height of steps (shapes of Young diagrams) of a given area in the neighborhood of a given curve. This allows us to find the asymptotics of the whole number of such functions and find the limit shape — the curve of concentration of the step functions.
Keywords: large deviations, random walk, Young diagram. 
@article{TVP_2005_50_4_a0,
     author = {R. Ahlswede and V. M. Blinovskii},
     title = {About the number of step functions with restrictions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {625--651},
     publisher = {mathdoc},
     volume = {50},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2005_50_4_a0/}
}
TY  - JOUR
AU  - R. Ahlswede
AU  - V. M. Blinovskii
TI  - About the number of step functions with restrictions
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2005
SP  - 625
EP  - 651
VL  - 50
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_2005_50_4_a0/
LA  - ru
ID  - TVP_2005_50_4_a0
ER  - 
%0 Journal Article
%A R. Ahlswede
%A V. M. Blinovskii
%T About the number of step functions with restrictions
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2005
%P 625-651
%V 50
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_2005_50_4_a0/
%G ru
%F TVP_2005_50_4_a0
R. Ahlswede; V. M. Blinovskii. About the number of step functions with restrictions. Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 4, pp. 625-651. http://geodesic.mathdoc.fr/item/TVP_2005_50_4_a0/