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The fractal nature of graphs has traditionally been investigated by using the nodes of networks as the basic units. Here, instead, we propose to concentrate on the graph edges, and introduce a practical and computationally not demanding…

Physics and Society · Physics 2017-04-05 Sarika Jalan , Alok Yadav , Camellia Sarkar , Stefano Boccaletti

The multifractal detrended fluctuation analysis of time series is able to reveal the presence of long-range correlations and, at the same time, to characterize the self-similarity of the series. The rich information derivable from the…

Biomolecules · Quantitative Biology 2015-02-06 Enrico Maiorino , Lorenzo Livi , Alessandro Giuliani , Alireza Sadeghian , Antonello Rizzi

The crucial aspect of this demonstration is the discovery of renewal events, hidden in the computed dynamics of a multifractal metronome, which enables the replacement of the phenomenon of strong anticipation with a time delayed…

Adaptation and Self-Organizing Systems · Physics 2017-07-20 Korosh Mahmoodi , Bruce J. West , Paolo Grigolini

Cryptocurrencies have gained popularity across various sectors, especially in finance and investment. Despite their growing popularity, cryptocurrencies can be a high-risk investment due to their price volatility. The inherent volatility in…

Machine Learning · Computer Science 2025-08-21 Rasoul Amirzadeh , Dhananjay Thiruvady , Asef Nazari , Mong Shan Ee

Methodologies to infer financial networks from the price series of speculative assets vary, however, they generally involve bivariate or multivariate predictive modelling to reveal causal and correlational structures within the time series…

Physics and Society · Physics 2023-08-31 Cameron Cornell , Lewis Mitchell , Matthew Roughan

We study the volatility time series of 1137 most traded stocks in the US stock markets for the two-year period 2001-02 and analyze their return intervals $\tau$, which are time intervals between volatilities above a given threshold $q$. We…

Statistical Finance · Quantitative Finance 2009-03-05 Fengzhong Wang , Kazuko Yamasaki , Shlomo Havlin , H. Eugene Stanley

We develop a liquidity-sensitive multivariate volatility framework to improve the estimation of time-varying covariance structures under market frictions. We introduce two novel portfolio-level liquidity measures, liquidity jump and…

Statistical Finance · Quantitative Finance 2025-04-21 Qi Deng

In this paper we devise a statistical method for tracking and modeling change-points on the dependence structure of multivariate extremes. The methods are motivated by and illustrated on a case study on crypto-assets.

Methodology · Statistics 2020-11-11 Miguel de Carvalho , Manuele Leonelli , Alex Rossi

Financial time series exhibit a number of interesting properties that are difficult to explain with simple models. These properties include fat-tails in the distribution of price fluctuations (or returns) that are slowly removed at longer…

Statistical Finance · Quantitative Finance 2013-11-19 Raoul Golan , Austin Gerig

We build a multifractal object and use it as a support to study percolation. We identify some differences between percolation in a multifractal and in a regular lattice. We use many samples of finite size lattices and draw the histogram of…

Statistical Mechanics · Physics 2016-08-31 G. Corso , J. E. Freitas , L. S. Lucena , R. F. Soares

Multivariate Distributions are needed to capture the correlation structure of complex systems. In previous works, we developed a Random Matrix Model for such correlated multivariate joint probability density functions that accounts for the…

Statistical Finance · Quantitative Finance 2025-12-02 Anton J. Heckens , Efstratios Manolakis , Cedric Schuhmann , Thomas Guhr

In this paper we forecast daily returns of crypto-currencies using a wide variety of different econometric models. To capture salient features commonly observed in financial time series like rapid changes in the conditional variance,…

Econometrics · Economics 2018-02-14 Christian Hotz-Behofsits , Florian Huber , Thomas O. Zörner

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

Many models and real complex systems possess critical thresholds at which the systems shift from one sate to another. The discovery of the early warnings of the systems in the vicinity of critical point are of great importance to estimate…

Statistical Mechanics · Physics 2017-02-08 Longfeng Zhao , Wei Li , Chunbin Yang , Jihui Han , Zhu Su , Yijiang Zou , Xu Cai

The growth potential of a crypto(currency) project can be measured by the use cases spurred by the underlying technology. However, these projects are usually distributed, with a weak feedback schemes. Hence, a metric that is widely used as…

Cryptography and Security · Computer Science 2024-09-04 Maurantonio Caprolu , Roberto Di Pietro , Flavio Lombardi , Elia Onofri

This paper explores neural network-based approaches for algorithmic trading in cryptocurrency markets. Our approach combines multi-timeframe trend analysis with high-frequency direction prediction networks, achieving positive risk-adjusted…

Computational Finance · Quantitative Finance 2025-08-05 Wěi Zhāng

The price of financial assets are, since Bachelier, considered to be described by a (discrete or continuous) time sequence of random variables, i.e a stochastic process. Sharp scaling exponents or unifractal behavior of such processes has…

Statistical Mechanics · Physics 2015-06-25 Marc-Etienne Brachet , Erik Taflin , Jean Marcel Tcheou

We propose a stochastic process for stock movements that, with just one source of Brownian noise, has an instantaneous volatility that rises from a type of statistical feedback across many time scales. This results in a stationary…

Other Condensed Matter · Physics 2008-12-02 Lisa Borland

We study the fluctuations in the measured atmospheric CO2 records from several stations and show that it displays 1/f noise and multifractality. Using detrended fluctuation analysis and wavelet based methods, we estimate thescaling…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Prabir K. Patra , M. S. Santhanam , P. Manimaran , M. Takigawa , T. Nakazawa

In this paper, we investigate whether mixing cryptocurrencies to a German investor portfolio improves portfolio diversification. We analyse this research question by applying a (mean variance) portfolio analysis using a toolbox consisting…

Statistical Finance · Quantitative Finance 2020-08-07 Tim Schmitz , Ingo Hoffmann