Add to ORKGWe solve a problem by V. I. Arnold dealing with “how random” modular arithmetic progressions can be. After making precise how Arnold proposes to measure the randomness of a modular sequence, we show that this measure of randomness takes a simplified form in the case of arithmetic progressions. This simplified expression is then estimated using the methodology of dynamical analysis, which operates with tools coming from dynamical systems theory
Is it possible to determine what randomness is let alone measure and classify it? Can random number ...
AbstractA 1-dimensional cellular automaton which generates random sequences is discussed. Each site ...
By flipping a coin repeatedly and recording the result, we can create a sequence that intuitively is...
We solve a problem by V. I. Arnold dealing with “how random” modular arithmetic progressions can be....
International audienceWe solve a problem by V. I. Arnold dealing with "how random" modular arithmeti...
We solve a problem by V. I. Arnold dealing with “how random ” modular arithmetic progressions can be...
In this paper, we investigate refined definitions of random sequences. Classical definitions have al...
Algorithmic randomness uses computability theory to define notions of randomness for infinite object...
This work focuses on the study of random properties of the celebrated Kronecker sequence K(a) formed...
AbstractIn this paper, we investigate refined definition of random sequences. Classical definitions ...
Imagine a sequence in which the first letter comes from a binaryalphabet, the second letter can be c...
(eng) The goal of our paper is to propose a way to obtain more refined definitions of randomness tha...
In this study, we develop a technique to measure randomness and complexity for various systems. The ...
Random number generators are widely used in practical algorithms. Examples include simulation, numbe...
Abstract. Osvald Demuth (1936–1988) studied constructive analysis from the view-point of the Russian...
Is it possible to determine what randomness is let alone measure and classify it? Can random number ...
AbstractA 1-dimensional cellular automaton which generates random sequences is discussed. Each site ...
By flipping a coin repeatedly and recording the result, we can create a sequence that intuitively is...
We solve a problem by V. I. Arnold dealing with “how random” modular arithmetic progressions can be....
International audienceWe solve a problem by V. I. Arnold dealing with "how random" modular arithmeti...
We solve a problem by V. I. Arnold dealing with “how random ” modular arithmetic progressions can be...
In this paper, we investigate refined definitions of random sequences. Classical definitions have al...
Algorithmic randomness uses computability theory to define notions of randomness for infinite object...
This work focuses on the study of random properties of the celebrated Kronecker sequence K(a) formed...
AbstractIn this paper, we investigate refined definition of random sequences. Classical definitions ...
Imagine a sequence in which the first letter comes from a binaryalphabet, the second letter can be c...
(eng) The goal of our paper is to propose a way to obtain more refined definitions of randomness tha...
In this study, we develop a technique to measure randomness and complexity for various systems. The ...
Random number generators are widely used in practical algorithms. Examples include simulation, numbe...
Abstract. Osvald Demuth (1936–1988) studied constructive analysis from the view-point of the Russian...
Is it possible to determine what randomness is let alone measure and classify it? Can random number ...
AbstractA 1-dimensional cellular automaton which generates random sequences is discussed. Each site ...
By flipping a coin repeatedly and recording the result, we can create a sequence that intuitively is...