Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multivariate Permutation Polynomial Systems and Nonlinear Pseudorandom
  Number Generators   In this paper we study a class of dynamical systems generated by iterations
of multivariate permutation polynomial systems which lead to polynomial growth
of the degrees of these iterations. Using these estimates and the same
techniques studied previously for inversive generators, we bound exponential
sums along the orbits of these dynamical systems and show that they admit much
stronger estimates on average over all initial values than in the general case
and thus can be of use for pseudorandom number generation.

31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin