44 citations · 255 across the 13 of their papers we have counts for
13 papers
Quantization causes waves:Smooth finitely computable functions are affine
Vladimir Anashin
Given an automaton (a letter-to-letter transducer, a dynamical 1-Lipschitz system on the space of -adic integers) whose input and output alphabets ar…
Ergodicity criteria for non-expanding transformations of 2-adic spheres
Vladimir Anashin, Andrei Khrennikov, Ekaterina Yurova
In the paper, we obtain necessary and sufficient conditions for ergodicity (with respect to the normalized Haar measure) of discrete dynamical systems o…
Automata finiteness criterion in terms of van der Put series of automata functions
Vladimir Anashin
In the paper we develop the -adic theory of discrete automata. Every automaton (transducer) whose input/output alphabets consist of symbols can be associated t…
The Non-Archimedean Theory of Discrete Systems
Vladimir Anashin
In the paper, we study behavior of discrete dynamical systems (automata) w.r.t. transitivity; that is, speaking loosely, we consider how diverse may be behavior of the system w.r.t…
Linear Relation on General Ergodic T-Function
Tao Shi, Vladimir Anashin, Dongdai Lin
We find linear (as well as quadratic) relations in a very large class of T-functions. The relations may be used in analysis of T-function-based stream ciphers.
T-functions revisited: New criteria for bijectivity/transitivity
Vladimir Anashin, Andrei Khrennikov, Ekaterina Yurova
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…