Multi-scale coding of genomic information: From DNA sequence to genome structure and function
Understanding how chromatin is spatially and dynamically organized in the nucleus of
eukaryotic cells and how this affects genome functions is one of the main challenges of cell …
eukaryotic cells and how this affects genome functions is one of the main challenges of cell …
Detrending moving average algorithm for multifractals
GF Gu, WX Zhou - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
The detrending moving average (DMA) algorithm is a widely used technique to quantify the
long-term correlations of nonstationary time series and the long-range correlations of fractal …
long-term correlations of nonstationary time series and the long-range correlations of fractal …
A multifractal approach for stock market inefficiency
In this paper, the multifractality degree in a collection of developed and emerging stock
market indices is evaluated. Empirical results suggest that the multifractality degree can be …
market indices is evaluated. Empirical results suggest that the multifractality degree can be …
Detrended fluctuation analysis for fractals and multifractals in higher dimensions
GF Gu, WX Zhou - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
One-dimensional detrended fluctuation analysis (DFA) and multifractal detrended fluctuation
analysis (MFDFA) are widely used in the scaling analysis of fractal and multifractal time …
analysis (MFDFA) are widely used in the scaling analysis of fractal and multifractal time …
Wavelet leaders and bootstrap for multifractal analysis of images
Multifractal analysis is considered a promising tool for image processing, notably for texture
characterization. However, practical operational estimation procedures based on a …
characterization. However, practical operational estimation procedures based on a …
Multifractal detrended cross-correlation analysis on benchmark cryptocurrencies and crude oil prices
MM Ghazani, R Khosravi - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
In this paper, we investigate the cross-correlations between three benchmark
cryptocurrencies (including Bitcoin, Ethereum and Ripple) and some of the well-known …
cryptocurrencies (including Bitcoin, Ethereum and Ripple) and some of the well-known …
Multifractal stationary random measures and multifractal random walks with log infinitely divisible scaling laws
We define a large class of continuous time multifractal random measures and processes
with arbitrary log infinitely divisible exact or asymptotic scaling law. These processes …
with arbitrary log infinitely divisible exact or asymptotic scaling law. These processes …
Wavelet based multifractal formalism: applications to DNA sequences, satellite images of the cloud structure, and stock market data
We elaborate on a unified thermodynamic description of multifractal distributions including
measures and functions. This new approach relies on the computation of partition functions …
measures and functions. This new approach relies on the computation of partition functions …
Wavelet-based multifractal formalism to assist in diagnosis in digitized mammograms
P Kestener, JM Lina, P Saint-Jean… - Image analysis and …, 2001 - ias-iss.org
We apply the 2D wavelet transform (WTMM) method to perform a multifractal analysis of
digitized mammograms. We show that normal regions display monofractal scaling properties …
digitized mammograms. We show that normal regions display monofractal scaling properties …
Multifractal structure in Latin-American market indices
We study the multifractal nature of daily price and volatility returns of Latin-American stock
markets employing the multifractal detrended fluctuation analysis. Comparing with the …
markets employing the multifractal detrended fluctuation analysis. Comparing with the …