Geodesic
Conditions of convergence to the Poisson distribution for the number of solutions of random inclusions
Matematičeskie voprosy kriptografii, Tome 3 (2012) no. 3, pp. 35-55 
V. A. Kopytcev; V. G. Mikhailov. Conditions of convergence to the Poisson distribution for the number of solutions of random inclusions. Matematičeskie voprosy kriptografii, Tome 3 (2012) no. 3, pp. 35-55. http://geodesic.mathdoc.fr/item/MVK_2012_3_3_a2/
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Let $F$ be a random mapping of $n$-dimensional space $V^n$ over the finite field $GF(q)$ into $T$-dimensional space $V^T$ over the same field; let $D\subset V^n$, $B\subset V^T$. For the number of solutions of random inclusions $x\in D$, $F(x)\in B$ we find new sufficient conditions of weak convergence to the Poisson law as $n,T\to\infty$.

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