Detrended fluctuation analysis (DFA) is one of the most frequently used fractal time series algorithms. DFA has also become the tool of choice for analysis of the short-time fluctuations despite the fact that its validity in this domain has never been demonstrated. We adopt an Ornstein-Uhlenbeck Langevin equation to generate a time series which exhibits short-time powerlaw scaling and incorpora...

Differential Fault Analysis against AES has been actively studied these years. Based on similar assumptions of the fault injection, different DFA attacks against AES have been proposed. However, it is difficult to understand how different attack results are obtained for the same fault injection. It is also difficult to understand the relationship between similar assumptions of fault injection a...

The bid–ask spread is taken as an important measure of the financial market liquidity. In this article, we study the dynamics of the spread return and the spread volatility of four liquid stocks in the Chinese stock market, including the memory effect and the multifractal nature. By investigating the autocorrelation function and the Detrended Fluctuation Analysis (DFA), we find that the spread ...

Combining different cryptanalytic methods to attack a cryptosystem became one of the hot topics in cryptanalysis. In particular, algebraic methods in side channel and differential fault analysis (DFA) attracted a lot of attention recently. In [9], Hojśik and Rudolf used DFA to recover the inner state of the stream cipher Trivium which leads to recovering the secret key. For this attack, they re...

The paper develops a framework that is based on the idea that modal logic provides an appropriate framework for the speciication of data ow analysis (DFA) algorithms as soon as programs are represented as models of the logic. This can be exploited to construct a DFA-generator that generates eecient implementations of DFA-algorithms from modal speciications by partially evaluating a speciic mode...

In Diffusion Tensor Imaging (DTI) or High Angular Resolution Diffusion Imaging (HARDI), a tensor field or a spherical function field (e.g., an orientation distribution function field), can be estimated from measured diffusion weighted images. In this paper, inspired by the microscopic theoretical treatment of phases in liquid crystals, we introduce a novel mathematical framework, called Directo...

Stochastic fractal signals can be characterized by the Hurst coefficient H, which is related to the exponents of various power-law statistics characteristic of these processes. Two techniques widely used to estimate H are spectral analysis and detrended fluctuation analysis (DFA). This paper examines the analytical link between these two measures and shows that they are related through an integ...

 Traditional morphometric measurements and meristic counts were used to investigate the hypothesis of population fragmentation of Mash mahi, Aspius aspius taeniatus (Eichwald, 1831) among two fishing areas in southern Caspian Sea basin(Tonekabon:32 specimens  and Sari:34 specimens ). Univariate analysis of variance showed significant differences between the means of the two groups for 12 out of...

 Traditional morphometric measurements and meristic counts were used to investigate the hypothesis of population fragmentation of Mash mahi, Aspius aspius taeniatus (Eichwald, 1831) among two fishing areas in southern Caspian Sea basin(Tonekabon:32 specimens  and Sari:34 specimens ). Univariate analysis of variance showed significant differences between the means of the two groups for 12 o...

For a non-negative integer k, a language is k-piecewise testable (k-PT) if it is a finite boolean combination of languages of the form Σa1Σ ∗ · · ·ΣanΣ for ai ∈ Σ and 0 ≤ n ≤ k. We study the following problem: Given a DFA recognizing a piecewise testable language, decide whether the language is k-PT. We provide a complexity bound on this problem and a detailed analysis for small k’s. The result...