Random mapping
From Encyclopedia of Mathematics
of a set 
into itself
A random variable taking values in the set 
of all single-valued mappings of 
into itself. The random mappings 
for which the probability 
is positive only for one-to-one mappings 
are called random permutations of degree (order) 
. The most thoroughly studied random mappings are those for which 
for all 
. A realization of such a random mapping is the result of a simple random selection from 
.
References
| [1] | V.F. Kolchin, "Random mappings" , Optim. Software (1986) (Translated from Russian) |
How to Cite This Entry:
Random mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Random_mapping&oldid=13832
Random mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Random_mapping&oldid=13832
This article was adapted from an original article by V.F. Kolchin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article