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We study multifractal properties of wave functions for a one-parameter family of quantum maps displaying the whole range of spectral statistics intermediate between integrable and chaotic statistics. We perform extensive numerical…

Chaotic Dynamics · Physics 2008-03-18 J. Martin , O. Giraud , B. Georgeot

A multifractal model is used to analyze neutron evolution within a reactor. For chain reactions, various characteristics of multifractal neutron behavior have been determined. These include the dimension of the multifractal carrier,…

Disordered Systems and Neural Networks · Physics 2026-01-26 V. V. Ryazanov

For many externally driven complex systems neither the noisy driving force, nor the internal dynamics are a priori known. Here we focus on systems for which the time dependent activity of a large number of components can be monitored,…

Statistical Mechanics · Physics 2008-12-02 Zoltan Eisler , Janos Kertesz , Soon-Hyung Yook , Albert-Laszlo Barabasi

Wall turbulence consists of various sizes of vortical structures that induce flow circulation around a wide range of closed Eulerian loops. Here we investigate the multiscale properties of circulation around such loops in statistically…

Fluid Dynamics · Physics 2025-06-11 Peng-Yu Duan , Xi Chen , Katepalli R. Sreenivasan

The non-fungible token (NFT) market emerges as a recent trading innovation leveraging blockchain technology, mirroring the dynamics of the cryptocurrency market. The current study is based on the capitalization changes and transaction…

Statistical Finance · Quantitative Finance 2024-07-09 Marcin Wątorek , Paweł Szydło , Jarosław Kwapień , Stanisław Drożdż

This paper investigates the temporal patterns of activity in the cryptocurrency market with a focus on Bitcoin, Ethereum, Dogecoin, and WINkLink from January 2020 to December 2022. Market activity measures - logarithmic returns, volume, and…

Trading and Market Microstructure · Quantitative Finance 2023-08-22 Marcin Wątorek , Maria Skupień , Jarosław Kwapień , Stanisław Drożdż

The earth's ionosphere is well recognized as a dynamical system and non-linearly coupled with the magnetosphere above and natural atmosphere below.The shape and time variability of the ionosphere indeed shows chaos, pattern formation,…

Earth and Planetary Astrophysics · Physics 2013-12-13 H. J. Tanna , K. N. Pathak

Multiplicity fluctuations of intermediate-mass fragments are studied with the percolation model. It is shown that super-Poissonian fluctuations occur near the percolation transition and that this behavior is associated with the…

Nuclear Theory · Physics 2009-10-31 Tarek Gharib , Wolfgang Bauer , Scott Pratt

We propose a novel algorithm - Multifractal Cross-Correlation Analysis (MFCCA) - that constitutes a consistent extension of the Detrended Cross-Correlation Analysis (DCCA) and is able to properly identify and quantify subtle characteristics…

Data Analysis, Statistics and Probability · Physics 2014-02-25 Paweł Oświȩcimka , Stanisław Drożdż , Marcin Forczek , Stanisław Jadach , Jarosław Kwapień

Climate change has driven the market to seek new ways of raising funds to mitigate its effects. One such innovation is the emergence of Green Bonds financial assets specifically designed to support sustainable projects. This study explores…

Cryptocurrencies are considered the latest innovation in finance with considerable impact across social, technological, and economic dimensions. This new class of financial assets has also motivated a myriad of scientific investigations…

Physics and Society · Physics 2023-03-31 Arthur A. B. Pessa , Matjaz Perc , Haroldo V. Ribeiro

The bitcoin price has surged in recent years and it has also exhibited phases of rapid decay. In this paper we address the question to what extent this novel cryptocurrency market can be viewed as a classic or semi-efficient market. Novel…

Statistical Finance · Quantitative Finance 2019-06-26 Josselin Garnier , Knut Solna

We analyze the multifractality of the fidelity in an engineered Toffoli gate. Using quantum control methods, we define several optimization problems whose global solutions realize the gate in a chain of three qubits with XY Heisenberg…

Quantum Physics · Physics 2022-03-03 Jalil Khatibi Moqadam , Guilherme S. Welter , Paulo A. A. Esquef

We motivate the study of the crypto asset class with eleven empirical facts, and study the drivers of crypto asset returns through the lens of univariate factors. We argue crypto assets are a new, attractive, and independent asset class. In…

Econometrics · Economics 2024-05-27 Adam Baybutt

In this paper, the cross-correlations of cryptocurrency returns are analysed. The paper examines one years worth of data for 146 cryptocurrencies from the period January 1 2019 to December 31 2019. The cross-correlations of these returns…

Computational Finance · Quantitative Finance 2021-08-24 J. Gavin , M. Crane

Based on 1-minute price changes recorded since year 2012, the fluctuation properties of the rapidly-emerging Bitcoin (BTC) market are assessed over chosen sub-periods, in terms of return distributions, volatility autocorrelation, Hurst…

Statistical Finance · Quantitative Finance 2018-07-20 Stanisław Drożdż , Robert Gębarowski , Ludovico Minati , Paweł Oświęcimka , Marcin Wątorek

Being archetypal complex systems, financial markets exhibit rich set of dynamics in their interactions. In this paper, we focus on the recently evolved cryptocurrency market as an example of a complex system and analyse the evolution of…

Statistical Finance · Quantitative Finance 2022-11-23 Vishwas Kukreti

We are interested to the multifractal analysis of inhomogeneous Bernoulli products which are also known as coin tossing measures. We give conditions ensuring the validity of the multifractal formalism for such measures. On another hand, we…

Classical Analysis and ODEs · Mathematics 2015-05-27 Athanasios Batakis , Benoit Testud

We are interested to the multifractal analysis of inhomogeneous Bernoulli products which are also known as coin tossing measures. We give conditions ensuring the validity of the multifractal formalism for such measures. On another hand, we…

Metric Geometry · Mathematics 2007-05-23 Athanasios Batakis , Benoit Testud

The problem of non-stationarity in financial markets is discussed and related to the dynamic nature of price volatility. A new measure is proposed for estimation of the current asset volatility. A simple and illustrative explanation is…

Statistical Finance · Quantitative Finance 2016-09-08 Sergey S. Stepanov