Видеотека: Livat Tyapaev, Measure-preserving and ergodic an n-unit delay mappings

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Новые направления в математической и теоретической физике 7 октября 2016 г. 13:20, г. Москва, МИАН, ул. Губкина, д. 8

Measure-preserving and ergodic an n-unit delay mappings Livat Tyapaev Chernyshevsky Saratov State University
Аннотация: 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. Язык доклада: английский