Ergodic dynamical systems over the Cartesian power of the ring of p-adic integers

Valerii Sopin

Paper 2022/1112

Ergodic dynamical systems over the Cartesian power of the ring of p-adic integers

Valerii Sopin

, Independent scientist

Abstract

V. Anashin et al gave criteria for measure-preservation and ergodicity of 1-lipschitz transformations on the ring of p-adic integers. However, issue of describing the ergodic 1-lipschitz transformations on the Cartesian power of the ring of p-adic integers has been opened so far. In this paper we present the resulting solution to this problem. In other words, T-Funtions of several variables are considered.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Published elsewhere. P-Adic Numbers, Ultrametric Analysis, and Applications
DOI: 10.1134/S2070046614040086
Keywords: T-Functions dynamical systems p-adic PRNG stream ciphers several variables
Contact author(s): vVs @ myself com
History: 2022-08-29: approved; 2022-08-28: received; See all versions
Short URL: https://ia.cr/2022/1112
License: CC BY

BibTeX

@misc{cryptoeprint:2022/1112,
      author = {Valerii Sopin},
      title = {Ergodic dynamical systems over the Cartesian power of the ring of p-adic integers},
      howpublished = {Cryptology ePrint Archive, Paper 2022/1112},
      year = {2022},
      doi = {10.1134/S2070046614040086},
      note = {\url{https://eprint.iacr.org/2022/1112}},
      url = {https://eprint.iacr.org/2022/1112}
}