44 citations · 96 across the 5 of their papers we have counts for
6 papers
Automaton model of protein: dynamics of conformational and functional states
Andrei Khrennikov, Ekaterina Yurova
In this conceptual paper we propose to explore the analogy between ontic/epistemic description of quantum phenomena and interrelation between dynamics of conformational and functio…
Secure cloud computations: Description of (fully)homomorphic ciphers within the P-adic model of encryption
Andrei Khrennikov, Ekaterina Yurova
In this paper we consider the description of homomorphic and fully homomorphic ciphers in the -adic model of encryption. This model describes a wide class of ciphers, but certai…
Criteria of ergodicity for -adic dynamical systems in terms of coordinate functions
Andrei Khrennikov, Ekaterina Yurova
This paper is devoted to the problem of ergodicity of -adic dynamical systems. Our aim is to present criteria of ergodicity in terms of coordinate functions corresponding to dig…
Criteria of measure-preserving for -adic dynamical systems in terms of the van der Put basis
Andrei Khrennikov, Ekaterina Yurova
This paper is devoted to (discrete) -adic dynamical systems, an important domain of algebraic and arithmetic dynamics. We consider the following open problem from theory of -…
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…
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…