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New Trends in Mathematical and Theoretical Physics
October 7, 2016 13:20, Moscow, MIAN, Gubkina, 8
 


Measure-preserving and ergodic an n-unit delay mappings

Livat Tyapaev

Chernyshevsky Saratov State University
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MP4 209.8 Mb

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Livat Tyapaev
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Abstract: The automaton transformation of infinite words over alphabet $F_p={0,1,..,p-1}$, where $p$ prime number coincide with continuous transformation of a ring of p-adic integers $Z_p$. The object of this study is the an $n$-unit delay maps (associated with asynchronous automata) that is important for cryptography. We prove criteria of measure-preserving for an n-unit delay mappings. Moreover, we give a sufficient condition of ergodicity of such mappings.

Language: English

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