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T-functions revisited: new criteria for bijectivity/transitivity |
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| Authors: | Vladimir Anashin Andrei Khrennikov Ekaterina Yurova |
| Affiliation: | 1. Faculty for Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, 119991, Russia 2. International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, V?xj?, 35195, Sweden |
| Abstract: | The paper presents new criteria for bijectivity/transitivity of T-functions and a 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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