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The miltifractal properties and scaling behaviour of the exchange rate variations of the Iranian rial against the US dollar from a daily perspective is numerically investigated. For this purpose the multifractal detrended fluctuation…

Data Analysis, Statistics and Probability · Physics 2009-11-11 P. Norouzzadeh

Distributed ledger technologies have opened up a wealth of fine-grained transaction data from cryptocurrencies like Bitcoin and Ethereum. This allows research into problems like anomaly detection, anti-money laundering, pattern mining and…

Social and Information Networks · Computer Science 2024-10-07 Naomi A. Arnold , Peijie Zhong , Cheick Tidiane Ba , Ben Steer , Raul Mondragon , Felix Cuadrado , Renaud Lambiotte , Richard G. Clegg

We deal here with the issue of determinism versus randomness in time series. One wishes to identify their relative weights in a given time series. Two different tools have been advanced in the literature to such effect, namely, i) the…

Detection of power-law behavior and studies of scaling exponents uncover the characteristics of complexity in many real world phenomena. The complexity of financial markets has always presented challenging issues and provided interesting…

Statistical Finance · Quantitative Finance 2018-08-01 Stjepan Begušić , Zvonko Kostanjčar , H. Eugene Stanley , Boris Podobnik

Using a graph-based approach, we propose a multiscale permutation entropy to explore the complexity of multivariate time series over multiple time scales. This multivariate multiscale permutation entropy (MPEG) incorporates the interaction…

Data Analysis, Statistics and Probability · Physics 2022-10-18 John Stewart Fabila-Carrasco , Chao Tan , Javier Escudero

During a financial crisis, the capital markets network frequently exhibits a high correlation between returns. We developed a network analysis framework based on daily returns from 42 countries to determine systemic stability. Our network…

Dynamical Systems · Mathematics 2022-01-06 Supanat Kamtue , Pongsak Luangaram , Sirawit Woramongkhon

Correlations in complex systems are often obscured by nonstationarity, long-range memory, and heavy-tailed fluctuations, which limit the usefulness of traditional covariance-based analyses. To address these challenges, we construct scale…

Statistical Finance · Quantitative Finance 2025-12-09 Stanisław Drożdż , Paweł Jarosz , Jarosław Kwapień , Maria Skupień , Marcin Wątorek

In a previous paper, it was discussed whether Bitcoin and/or its blockchain could be considered a complex system and, if so, whether a chaotic one, a positive response raising concerns about the likelihood of Bitcoin/blockchain entering a…

Cryptography and Security · Computer Science 2019-11-12 Renato P. dos Santos , Melanie Swan

A novel heuristic approach is proposed here for time series data analysis, dubbed Generalized weighted permutation entropy, which amalgamates and generalizes beyond their original scope two well established data analysis methods:…

Statistical Mechanics · Physics 2022-10-19 Darko Stosic , Dusan Stosic , Tatijana Stosic , Borko Stosic

The dynamics of complex systems, from financial markets to the brain, can be monitored in terms of multiple time series of activity of the constituent units, such as stocks or neurons respectively. While the main focus of time series…

Data Analysis, Statistics and Probability · Physics 2015-01-14 Assaf Almog , Diego Garlaschelli

Method for detection and visualization of trends, periodicities, local peculiarities in measurement series (dL-method) based on DFA technology (Detrended fluctuation analysis) is proposed. The essence of the method lies in reflecting the…

Applications · Statistics 2009-03-20 D. V. Lande , A. A. Snarskii

Financial time series exhibit multiscale behavior, with interaction between multiple processes operating on different timescales. This paper introduces a method for separating these processes using variance and tail stationarity criteria,…

Portfolio Management · Quantitative Finance 2026-01-19 Jan Rosenzweig

Financial time-series classification (FTC) is extremely valuable for investment management. In past decades, it draws a lot of attention from a wide extent of research areas, especially Artificial Intelligence (AI). Existing researches…

Machine Learning · Computer Science 2019-11-22 Liu Guang , Wang Xiaojie , Li Ruifan

Time series forecasting is a key tool in financial markets, helping to predict asset prices and guide investment decisions. In highly volatile markets, such as cryptocurrencies like Bitcoin (BTC) and Ethereum (ETH), forecasting becomes more…

Trading and Market Microstructure · Quantitative Finance 2026-02-17 Mabsur Fatin Bin Hossain , Lubna Zahan Lamia , Md Mahmudur Rahman , Md Mosaddek Khan

Gas is the transaction-fee metering system of the Ethereum network. Users of the network are required to select a gas price for submission with their transaction, creating a risk of overpaying or delayed/unprocessed transactions in this…

Machine Learning · Computer Science 2023-05-16 Conall Butler , Martin Crane

Multifractal properties of the energy time series of short $\alpha$-helix structures, specifically from a polyalanine family, are investigated through the MF-DFA technique ({\it{multifractal detrended fluctuation analysis}}). Estimates for…

Biological Physics · Physics 2010-01-13 P. H. Figueirêdo , E. Nogueira , M. A. Moret , Sérgio Coutinho

Predicting volatility in financial markets, including stocks, index ETFs, foreign exchange, and cryptocurrencies, remains a challenging task due to the inherent complexity and non-linear dynamics of these time series. In this study, I apply…

Statistical Finance · Quantitative Finance 2024-10-17 Alex Li

Since the inception of Bitcoin in 2009, the market of cryptocurrencies has grown beyond initial expectations as daily trades exceed $10 billion. As industries become automated, the need for an automated fraud detector becomes very apparent.…

Machine Learning · Computer Science 2022-07-26 Eran Kaufman , Andrey Iaremenko

There is a large body of work, built on tools developed in mathematics and physics, demonstrating that financial market prices exhibit self-similarity at different scales. In this paper, we explore the use of analytical topology to…

Trading and Market Microstructure · Quantitative Finance 2017-10-25 Jean de Carufel , Martin Brooks , Michael Stieber , Paul Britton

Bitcoin constructs temporal order internally rather than synchronizing to any external clock. Empirical evidence shows that its time evolution is non-continuous, probabilistic, and self-regulated. Block discovery follows a stochastic…

Cryptography and Security · Computer Science 2025-11-20 Bin Chen