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arXiv · 1111.3093

T-functions revisited: New criteria for bijectivity/transitivity

Vladimir Anashin·Andrei Khrennikov·Ekaterina Yurova
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Abstract

The paper presents new criteria for bijectivity/transitivity of T-functions and fast knapsack-like algorithm of evaluation of a T-function. Our approach is based on non-Archimedean ergodic theory: Both the criteria and algorithm use van der Put series to represent 1-Lipschitz $p$-adic functions and to study measure-preservation/ergodicity of these.

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Vladimir Anashin, Andrei Khrennikov, Ekaterina Yurova. 2011-11-14. T-functions revisited: New criteria for bijectivity/transitivity. https://doi.org/10.1007/s10623-012-9741-z

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