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2,143 Results Found

  • Article
  • Open Access
1 Citations
1,014 Views
34 Pages

A Masi-Entropy Image Thresholding Based on Long-Range Correlation

  • Perfilino Eugênio Ferreira Júnior,
  • Vinícius Moreira Mello,
  • Enzo P. Silva Ribeiro and
  • Gilson Antonio Giraldi

27 November 2025

Entropy-based image thresholding is one of the most widely used segmentation techniques in image processing. The Tsallis and Masi entropies are information measures that can capture long-range interactions in various physical systems. On the other ha...

(This article belongs to the Section Signal and Data Analysis)
  • Review
  • Open Access
10 Citations
3,607 Views
19 Pages

13 August 2022

Distributed optical fiber sensing technology has been widely applied in the areas of infrastructure health monitoring, national defense security, etc. The long-range high-spatial-resolution Brillouin optical correlation domain analysis (BOCDA) has ex...

(This article belongs to the Special Issue Recent Trends in Distributed Optical Fiber Sensing Technology)
  • Article
  • Open Access
434 Views
21 Pages

21 May 2026

Revealing correlations for styles in texts has been an interesting topic, providing an example of trans-disciplinarity between physics and linguistics. Typical cases can be seen for sound correlations in verses as well as for word correlations in pro...

(This article belongs to the Special Issue Entropy-Based Time Series Analysis: Theory and Applications)
  • Article
  • Open Access
8 Citations
4,888 Views
15 Pages

Estimating the Statistical Significance of Cross–Correlations between Hydroclimatic Processes in the Presence of Long–Range Dependence

  • Aristotelis Koskinas,
  • Eleni Zaharopoulou,
  • George Pouliasis,
  • Ilias Deligiannis and ,
  • Panayiotis Dimitriadis,
  • Theano Iliopoulou,
  • Nikos Mamassis and
  • Demetris Koutsoyiannis
  • + 3 authors+ 0 author

15 September 2022

Hydroclimatic processes such as precipitation, temperature, wind speed and dew point are usually considered to be independent of each other. In this study, the cross–correlations between key hydrological-cycle processes are examined, initially...

  • Feature Paper
  • Article
  • Open Access
4 Citations
2,607 Views
12 Pages

2 July 2020

We estimate the impact of the fixation of the total number of sources (quark–gluon strings) on the long-range rapidity correlations between different observables. In our approach this condition models the fixation of the collision centrality cl...

(This article belongs to the Special Issue Symmetry in Particle Physics)
  • Article
  • Open Access
7 Citations
2,675 Views
26 Pages

6 May 2025

Various fields within biological and psychological inquiry recognize the significance of exploring long-range temporal correlations to study phenomena. However, these fields face challenges during this transition, primarily stemming from the impracti...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
21 Citations
5,492 Views
18 Pages

Long-Range Correlations and Characterization of Financial and Volcanic Time Series

  • Maria C. Mariani,
  • Peter K. Asante,
  • Md Al Masum Bhuiyan,
  • Maria P. Beccar-Varela and ,
  • Sebastian Jaroszewicz and
  • Osei K. Tweneboah
  • + 1 author+ 0 author

18 March 2020

In this study, we use the Diffusion Entropy Analysis (DEA) to analyze and detect the scaling properties of time series from both emerging and well established markets as well as volcanic eruptions recorded by a seismic station, both financial and vol...

(This article belongs to the Special Issue Volatility Models Applied to Geophysics, Financial Market Data and Other Disciplines)
  • Article
  • Open Access
3 Citations
2,964 Views
10 Pages

Characterization of Anesthesia in Rats from EEG in Terms of Long-Range Correlations

  • Inna A. Blokhina,
  • Alexander A. Koronovskii,
  • Alexander V. Dmitrenko,
  • Inna V. Elizarova and ,
  • Tatyana V. Moiseikina,
  • Matvey A. Tuzhilkin,
  • Oxana V. Semyachkina-Glushkovskaya and
  • Alexey N. Pavlov
  • + 3 authors+ 0 author

Long-range correlations are often used as diagnostic markers in physiological research. Due to the limitations of conventional techniques, their characterizations are typically carried out with alternative approaches, such as the detrended fluctuatio...

(This article belongs to the Special Issue Artificial Intelligence in Medical Signal Processing and Analysis)
  • Article
  • Open Access
20 Citations
3,870 Views
23 Pages

Long-Range Correlations and Natural Time Series Analyses from Acoustic Emission Signals

  • Leandro Ferreira Friedrich,
  • Édiblu Silva Cezar,
  • Angélica Bordin Colpo,
  • Boris Nahuel Rojo Tanzi and ,
  • Mario Sobczyk,
  • Giuseppe Lacidogna,
  • Gianni Niccolini,
  • Luis Eduardo Kosteski and
  • Ignacio Iturrioz
  • + 4 authors+ 0 author

14 February 2022

This work focuses on analyzing acoustic emission (AE) signals as a means to predict failure in structures. There are two main approaches that are considered: (i) long-range correlation analysis using both the Hurst (H) and the detrended fluctuation a...

(This article belongs to the Topic Recent Advances in Structural Health Monitoring)
  • Feature Paper
  • Article
  • Open Access
2 Citations
2,777 Views
18 Pages

Modeling Long-Range Dynamic Correlations of Words in Written Texts with Hawkes Processes

  • Hiroshi Ogura,
  • Yasutaka Hanada,
  • Hiromi Amano and
  • Masato Kondo

22 June 2022

It has been clarified that words in written texts are classified into two groups called Type-I and Type-II words. The Type-I words are words that exhibit long-range dynamic correlations in written texts while the Type-II words do not show any type of...

(This article belongs to the Special Issue Entropies, Information Geometry and Fluctuations in Non-equilibrium Systems)
  • Letter
  • Open Access
25 Citations
3,850 Views
14 Pages

Age-Related Distinctions in EEG Signals during Execution of Motor Tasks Characterized in Terms of Long-Range Correlations

  • Alexey N. Pavlov,
  • Elena N. Pitsik,
  • Nikita S. Frolov,
  • Artem Badarin and ,
  • Olga N. Pavlova and
  • Alexander E. Hramov
  • + 1 author+ 0 author

15 October 2020

The problem of revealing age-related distinctions in multichannel electroencephalograms (EEGs) during the execution of motor tasks in young and elderly adults is addressed herein. Based on the detrended fluctuation analysis (DFA), differences in long...

(This article belongs to the Special Issue Novel Approaches to EEG Signal Processing)
  • Article
  • Open Access
1 Citations
3,789 Views
19 Pages

30 December 2023

Increasing groundwater levels (GWLs) may become one of the most serious issues for the city of Odessa, Ukraine. This study investigated the spatial distribution characteristics and multifractal scaling behaviour of the groundwater-level/-depth fluctu...

(This article belongs to the Special Issue Application of Geophysical Methods for Groundwater Management and Monitoring)
  • Article
  • Open Access
7 Citations
3,123 Views
18 Pages

The performance of active sonar detection systems is seriously affected by the reverberation at the bottom of the waveguide in shallow water. In order to improve the performance of active sonar detection, it is necessary to understand the horizontal...

(This article belongs to the Section Physical Oceanography)
  • Article
  • Open Access
1 Citations
2,291 Views
17 Pages

9 June 2025

We analyze long-range dependence (LRD) for word time series, understood as a slower than exponential decay of the two-point Shannon mutual information. We achieve this by examining the decay of the cosine correlation, a proxy object defined in terms...

(This article belongs to the Special Issue Complexity Characteristics of Natural Language)
  • Article
  • Open Access
4 Citations
3,241 Views
8 Pages

Scaling Properties and Persistence of Long-Term Solar Activity

  • Fabio Lepreti,
  • Vincenzo Carbone and
  • Antonio Vecchio

The long-range correlations associated with the presence of persistence are investigated by applying the detrended fluctuation analysis (DFA) on three different proxies of long-term solar activity. The considered datasets are a sunspot number reconst...

(This article belongs to the Special Issue Modeling Multiscale Dynamics by Statistical Mechanics in Heliophysics and Geophysics)
  • Article
  • Open Access
10 Citations
6,275 Views
19 Pages

30 September 2015

Vegetation is an important part of terrestrial ecosystems. Although vegetation dynamics have explicit spatial and temporal dimensions, the study of the temporal process is in its infancy. Evaluation of temporal scaling behavior could provide a unique...

  • Article
  • Open Access
3 Citations
1,498 Views
22 Pages

In the current context of the global energy landscape, China is facing a growing challenge in oil and gas exploration and development. It is difficult to evaluate the log data because of the lithological composition of igneous rocks, which displays a...

(This article belongs to the Special Issue Pore Structure and Fractal Characteristics in Unconventional Oil and Gas Reservoirs)
  • Article
  • Open Access
10 Citations
2,447 Views
14 Pages

On the Impacts of the Global Sea Level Dynamics

  • Costas Varotsos,
  • Yuri Mazei,
  • Nicholas V. Sarlis,
  • Damir Saldaev and
  • Maria Efstathiou

The temporal evolution of the global mean sea level (GMSL) is investigated in the present analysis using the monthly mean values obtained from two sources: a reconstructed dataset and a satellite altimeter dataset. To this end, we use two well-known...

  • Article
  • Open Access
1 Citations
5,434 Views
21 Pages

12 April 2018

We employ the spinor analysis method to evaluate exact expressions of spin-spin correlation functions of the two-dimensional rectangular Ising model on a finite lattice, special process enables us to actually carry out the calculation process. We fir...

(This article belongs to the Special Issue Thermodynamics and Statistical Mechanics of Small Systems)
  • Article
  • Open Access
7 Citations
3,057 Views
14 Pages

10 September 2024

Tsallis entropy has been widely used in image thresholding because of its non-extensive properties. The non-extensive parameter q contained in this entropy plays an important role in various adaptive algorithms and has been successfully applied in bi...

(This article belongs to the Special Issue Entropy and Information Theory in Machine Learning: Theoretical Insights and Applications)
  • Article
  • Open Access
3 Citations
5,991 Views
9 Pages

7 December 2017

Multiscale entropy (MSE) profiles of heart rate variability (HRV) in patients with atrial fibrillation (AFib) provides clinically useful information for ischemic stroke risk assessment, suggesting that the complex properties characterized by MSE prof...

(This article belongs to the Special Issue Information Theory Applied to Physiological Signals)
  • Article
  • Open Access
3 Citations
2,273 Views
22 Pages

2 February 2025

This paper investigates the memory of the Ornstein–Uhlenbeck process (OUP) via three ratios of the OUP increments: signal-to-noise, noise-to-noise, and tail-to-tail. Intuition suggests the following points: (1) changing the noise that drives th...

(This article belongs to the Collection Foundations of Statistical Mechanics)
  • Article
  • Open Access
10 Citations
4,620 Views
18 Pages

Complexity of Body Movements during Sleep in Children with Autism Spectrum Disorder

  • Naoki Furutani,
  • Tetsuya Takahashi,
  • Nobushige Naito,
  • Takafumi Maruishi and ,
  • Yuko Yoshimura,
  • Chiaki Hasegawa,
  • Tetsu Hirosawa and
  • Mitsuru Kikuchi
  • + 3 authors+ 0 author

31 March 2021

Recently, measuring the complexity of body movements during sleep has been proven as an objective biomarker of various psychiatric disorders. Although sleep problems are common in children with autism spectrum disorder (ASD) and might exacerbate ASD...

(This article belongs to the Special Issue Entropy and Sleep Disorders II)
  • Feature Paper
  • Article
  • Open Access
4 Citations
1,742 Views
30 Pages

16 June 2025

This paper introduces and explores a novel class of Brown and Levy steady-state motions. These motions generalize, respectively, the Ornstein-Uhlenbeck process (OUP) and the Levy-driven OUP. As the OUP and the Levy-driven OUP: the motions are Markov;...

(This article belongs to the Collection Advances in Applied Statistical Mechanics)
  • Article
  • Open Access
1 Citations
1,665 Views
18 Pages

26 November 2025

Background: Repetitive transcranial magnetic stimulation (rTMS) is an established neuromodulatory method, yet its multiscale neurophysiological effects in autism spectrum disorder (ASD) remain insufficiently characterized. Recent EEG analytic advance...

(This article belongs to the Special Issue Application of Transcranial Magnetic Stimulation (TMS) in Motor Control and Learning)
  • Article
  • Open Access
5 Citations
3,437 Views
13 Pages

7 December 2022

The transport of information packets in complex networks is a prototype system for the study of traffic jamming, a nonlinear dynamic phenomenon that arises with increased traffic load and limited network capacity. The underlying mathematical framewor...

  • Article
  • Open Access
4 Citations
1,272 Views
18 Pages

This article explores the temporal dynamics and fractal characteristics of cosmic ray (CR) intensity by conducting a comprehensive analysis of their intrinsic scaling properties. The study utilizes sophisticated methodologies, including standard Detr...

(This article belongs to the Special Issue Fractals in Earthquake and Atmospheric Science)
  • Article
  • Open Access
4 Citations
3,010 Views
18 Pages

Scaling Behavior of Peat Properties during the Holocene: A Case Study from Central European Russia

  • Eleni-Foteini Fotaki,
  • John Christodoulakis,
  • Maria Efstathiou,
  • Andrey N. Tsyganov and ,
  • Yuri Mazei,
  • Natalia G. Mazei,
  • Damir Saldaev,
  • Nicholas V. Sarlis,
  • Costas Varotsos and
  • Tatiana Voronova
  • + 5 authors+ 0 author

7 June 2022

A better understanding of past climate change is vital to our ability to predict possible future environmental dynamics. This study attempts to investigate the dynamic features of the temporal variability of peat humification, water table depth and a...

  • Article
  • Open Access
361 Citations
14,408 Views
13 Pages

The fine particulate matter (PM2.5) problem has attracted much scientific and public attention, due to its effects on visibility, human health, and global climate. There are three factors that have important effect on PM2.5 mass concentration: domest...

  • Article
  • Open Access
23 Citations
4,608 Views
12 Pages

In recent years, increasing attention has been devoted to cryptocurrencies, owing to their great development and valorization. In this study, we propose to analyse four of the major cryptocurrencies, based on their market capitalization and data avai...

(This article belongs to the Special Issue Econophysics Applications to Financial Markets)
  • Article
  • Open Access
22 Citations
4,762 Views
20 Pages

Multivariate and Multiscale Complexity of Long-Range Correlated Cardiovascular and Respiratory Variability Series

  • Aurora Martins,
  • Riccardo Pernice,
  • Celestino Amado,
  • Ana Paula Rocha and ,
  • Maria Eduarda Silva,
  • Michal Javorka and
  • Luca Faes
  • + 2 authors+ 0 author

11 March 2020

Assessing the dynamical complexity of biological time series represents an important topic with potential applications ranging from the characterization of physiological states and pathological conditions to the calculation of diagnostic parameters....

(This article belongs to the Special Issue Multiscale Entropy Approaches and Their Applications)
  • Article
  • Open Access
17 Citations
4,085 Views
10 Pages

18 February 2019

The spatial and temporal variabilities of the daily Sunshine Duration (SSD) time series from the Chinese Meteorological Administration during the 1954–2009 period are examined by the Detrended Fluctuation Analysis (DFA) method. As a whole, weak...

(This article belongs to the Section Meteorology)
  • Article
  • Open Access
2 Citations
3,121 Views
12 Pages

24 December 2021

We construct a simple toy model and explicitly demonstrate that the balance function (BF) can become negative for some values of the rapidity separation and hence cannot have any probabilistic interpretation. In particular, the BF cannot be interpret...

(This article belongs to the Section C: Physics)
  • Feature Paper
  • Article
  • Open Access
4 Citations
2,123 Views
11 Pages

12 August 2022

Within the framework of the model with quark-gluon strings (color flux tubes) as sources, the properties of the strongly intense variable Σ, which characterizes the correlations between the number of particles in two observation windows separat...

(This article belongs to the Special Issue Selected Papers from ACHT 2021: Perspectives in Particle, Cosmo- and Astroparticle Theory)
  • Article
  • Open Access
16 Citations
3,309 Views
25 Pages

Multipomeron Model with Collective Effects for High-Energy Hadron Collisions

  • Vladimir Kovalenko,
  • Grigorii Feofilov,
  • Andrei Puchkov and
  • Farkhat Valiev

16 April 2022

We propose the generalized multipomeron exchange model for multiparticle production in high-energy proton–proton, proton–nucleus and heavy-ion collisions. For all of these systems, we consider collectivity effects based on the quark&ndash...

(This article belongs to the Special Issue Universe: Feature Papers–High Energy Nuclear and Particle Physics)
  • Article
  • Open Access
664 Views
12 Pages

11 March 2026

Gait parameters are commonly reported, but their stability over durations representative of a typical continuous run remains poorly understood. This study investigated the stability and temporal structure of key spatiotemporal and kinetic parameters...

(This article belongs to the Special Issue Applied Biomechanics: Sports Performance and Rehabilitation)
  • Article
  • Open Access
1,744 Views
26 Pages

14 October 2025

The occurrence patterns of important words found in six texts (one historical pamphlet and five renowned academic books) are analyzed using both univariate and multivariate Hawkes processes. By treating the occurrence patterns as binary time-series d...

(This article belongs to the Special Issue Feature Papers of J—Multidisciplinary Scientific Journal in 2025)
  • Article
  • Open Access
9 Citations
3,187 Views
20 Pages

Self-Similar Models: Relationship between the Diffusion Entropy Analysis, Detrended Fluctuation Analysis and Lévy Models

  • Maria C. Mariani,
  • William Kubin,
  • Peter K. Asante,
  • Osei K. Tweneboah and ,
  • Maria P. Beccar-Varela,
  • Sebastian Jaroszewicz and
  • Hector Gonzalez-Huizar
  • + 2 authors+ 0 author

30 June 2020

Financial and geophysical data, like many other low and high frequency time series, are known to exhibit some memory effects. These memory effects may be long or short, permanent or temporal depending on the event that is being modeled. The purpose o...

(This article belongs to the Special Issue Volatility Models Applied to Geophysics, Financial Market Data and Other Disciplines)
  • Article
  • Open Access
2,936 Views
27 Pages

30 June 2020

Correlated phases in Hall systems have topological character. Multilayer configurations of planar electron systems create the opportunity to change topological phases on demand using macroscopic factors, such as vertical voltage. We present an analys...

(This article belongs to the Section Nanocomposite Materials)
  • Article
  • Open Access
8 Citations
4,498 Views
10 Pages

Effects of Sleep Deprivation on the Brain Electrical Activity in Mice

  • Alexey N. Pavlov,
  • Alexander I. Dubrovskii,
  • Olga N. Pavlova and
  • Oxana V. Semyachkina-Glushkovskaya

28 January 2021

Sleep plays a crucial role in maintaining brain health. Insufficient sleep leads to an enhanced permeability of the blood–brain barrier and the development of diseases of small cerebral vessels. In this study, we discuss the possibility of dete...

(This article belongs to the Special Issue Advances in Neuroimaging Data Processing)
  • Review
  • Open Access
24 Citations
7,805 Views
23 Pages

Atherosclerosis (ATH) and coronary artery disease (CAD) are chronic inflammatory diseases with an important genetic background; they derive from the cumulative effect of multiple common risk alleles, most of which are located in genomic noncoding reg...

(This article belongs to the Special Issue Pathomechanisms of Atherosclerosis. Part I)
  • Article
  • Open Access
11 Citations
5,392 Views
30 Pages

15 December 2022

We establish a direct route for the accurate determination of the solvent effect on the Krichevskii parameter of a solute, based solely on the contrasting solvation behavior of the solute in the desired solvent relative to that of the reference solve...

(This article belongs to the Section Chemical Physics of Liquids)
  • Article
  • Open Access
8 Citations
3,283 Views
19 Pages

Optimizing a Bayesian Method for Estimating the Hurst Exponent in Behavioral Sciences

  • Madhur Mangalam,
  • Taylor J. Wilson,
  • Joel H. Sommerfeld and
  • Aaron D. Likens

29 May 2025

The Bayesian Hurst–Kolmogorov (HK) method estimates the Hurst exponent of a time series more accurately than the age-old Detrended Fluctuation Analysis (DFA), especially when the time series is short. However, this advantage comes at the cost o...

(This article belongs to the Special Issue New Perspectives in Mathematical Statistics)
  • Article
  • Open Access
11 Citations
3,000 Views
23 Pages

Differences in Gating Dynamics of BK Channels in Cellular and Mitochondrial Membranes from Human Glioblastoma Cells Unraveled by Short- and Long-Range Correlations Analysis

  • Agata Wawrzkiewicz-Jałowiecka,
  • Paulina Trybek,
  • Przemysław Borys,
  • Beata Dworakowska and ,
  • Łukasz Machura and
  • Piotr Bednarczyk
  • + 1 author+ 0 author

15 October 2020

The large-conductance voltage- and Ca2+-activated K+ channels (BK) are encoded in humans by the Kcnma1 gene. Nevertheless, BK channel isoforms in different locations can exhibit functional heterogeneity mainly due to the alternative splicing during t...

(This article belongs to the Section Cellular Pathology)
  • Article
  • Open Access
4 Citations
6,870 Views
23 Pages

The importance of high resolution range profiles (HRRPs) for radar applications like tracking or classification is well known. In the scientific literature several approaches have been investigated to obtain HRRPs from wideband radar signals. Recent...

(This article belongs to the Special Issue Radar and Aerospace)
  • Article
  • Open Access
3 Citations
6,194 Views
12 Pages

The Effect of a Long-Range Correlated-Hopping Interaction on Bariev Spin Chains

  • Tao Yang,
  • Fa-Kai Wen,
  • Kun Hao,
  • Li-Ke Cao and
  • Rui-Hong Yue

28 August 2015

We introduce a long-range particle and spin interaction into the standard Bariev model and show that this interaction is equivalent to a phase shift in the kinetic term of the Hamiltonian. When the particles circle around the chain and across the bou...

(This article belongs to the Special Issue Non-Linear Lattice)
  • Article
  • Open Access
7 Citations
2,815 Views
11 Pages

Open-Air Testing of Dual-Comb Time-of-Flight Measurement

  • Wooram Kim,
  • Jaewon Yang,
  • Jaeyoung Jang,
  • Jeong Seok Oh and ,
  • Seongheum Han,
  • Seungman Kim,
  • Heesuk Jang,
  • Young-Jin Kim and
  • Seung-Woo Kim
  • + 4 authors+ 0 author

3 November 2023

We configured a long-distance ranging apparatus to test the principle of dual-comb time-of-flight measurement using ultrashort lasers. Emphasis was given to the evaluation of open-air performance quantitatively in terms of the measurement resolution...

(This article belongs to the Special Issue Precision Metrology Using Ultrashort Pulse Laser and Optical Frequency Comb)
  • Article
  • Open Access
16 Citations
1,295 Views
6 Pages

26 July 2011

Background and Objective. The analysis of fractal fluctuation has become very popular because of the close relationships between health, adaptability, and long-range correlations. 1/f noise is considered a “magical” threshold, characterizing optimal...

  • Article
  • Open Access
6 Citations
5,279 Views
19 Pages

18 October 2023

Climate change poses higher requirements on ocean engineering design, and reasonable estimation of design wave heights plays a crucial role in coastal protection and offshore engineering. Extreme value analysis is widely used in frequency calculation...

(This article belongs to the Special Issue Advanced Research in Civil, Hydraulic, and Ocean Engineering)
  • Article
  • Open Access
1 Citations
2,841 Views
20 Pages

Measuring Cross-Correlations, Contagion and Long-Range Behavior between Fires in Brazil and Some Time Series Related to Its Economic Growth

  • Claudio Marcio Cassela Inacio,
  • Vinicius V. Nogueira,
  • António M. Lopes and
  • Sergio Adriani David

24 September 2022

Fires bring up the debate about their impact on Brazil’s economic growth. Some processing tools such as cointegration and, especially, the correlation have been applied for identifying possible transmission or contagion mechanisms between disti...

(This article belongs to the Special Issue Vegetation Fires in South America)

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