Multi-scale coding of genomic information: From DNA sequence to genome structure and function

A Arneodo, C Vaillant, B Audit, F Argoul… - Physics Reports, 2011 - Elsevier
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 …

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 …

A multifractal approach for stock market inefficiency

L Zunino, BM Tabak, A Figliola, DG Pérez… - Physica A: Statistical …, 2008 - Elsevier
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 …

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 …

Wavelet leaders and bootstrap for multifractal analysis of images

H Wendt, SG Roux, S Jaffard, P Abry - Signal Processing, 2009 - Elsevier
Multifractal analysis is considered a promising tool for image processing, notably for texture
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 …

Multifractal stationary random measures and multifractal random walks with log infinitely divisible scaling laws

JF Muzy, E Bacry - Physical review E, 2002 - APS
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 …

Wavelet based multifractal formalism: applications to DNA sequences, satellite images of the cloud structure, and stock market data

A Bunde, J Kropp, HJ Schellnhuber, A Arneodo… - The science of disasters …, 2002 - Springer
We elaborate on a unified thermodynamic description of multifractal distributions including
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 …

Multifractal structure in Latin-American market indices

L Zunino, A Figliola, BM Tabak, DG Pérez… - Chaos, Solitons & …, 2009 - Elsevier
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 …