Geodesic
On read-once transformations of random variables over finite fields
Diskretnaya Matematika, Tome 27 (2015) no. 3, pp. 145-157

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Transformations of independent random variables over a finite field by read-once formulas are considered. Subsets of probability distributions that are preserved by read-once transformations are constructed. Also we construct a family of distributions that may be arbitrarily closely approximated by a read-once combination of independent identically distributed random variables, whose distributions have no zero components.
Keywords: random variable, finite field, probability distribution, invariant set, approximation. 
@article{DM_2015_27_3_a9,
     author = {A. D. Yashunskii},
     title = {On read-once transformations of random variables over finite fields},
     journal = {Diskretnaya Matematika},
     pages = {145--157},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2015_27_3_a9/}
}
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A. D. Yashunskii. On read-once transformations of random variables over finite fields. Diskretnaya Matematika, Tome 27 (2015) no. 3, pp. 145-157. http://geodesic.mathdoc.fr/item/DM_2015_27_3_a9/