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This letter investigates the dynamic relationship between market efficiency, liquidity, and multifractality of Bitcoin. We find that before 2013 liquidity is low and the Hurst exponent is less than 0.5, indicating that the Bitcoin time…

Statistical Finance · Quantitative Finance 2020-09-16 Tetsuya Takaishi , Takanori Adachi

An analysis of a recently proposed cryptosystem based on chaotic oscillators and feedback inversion is presented. It is shown how the cryptosystem can be broken when Duffing's oscillator is considered. Some implementation problems of the…

Chaotic Dynamics · Physics 2007-05-23 G. Alvarez , L. Hernandez , F. Montoya , J. Munoz

Crypto-coins (also known as cryptocurrencies) are tradable digital assets. Notable examples include Bitcoin, Ether and Litecoin. Ownerships of cryptocoins are registered on distributed ledgers (i.e., blockchains). Secure encryption…

Statistical Finance · Quantitative Finance 2022-12-05 Pasquale De Rosa , Valerio Schiavoni

The search for more realistic modeling of financial time series reveals several stylized facts of real markets. In this work we focus on the multifractal properties found in price and index signals. Although the usual Minority Game (MG)…

Trading and Market Microstructure · Quantitative Finance 2008-12-10 Antonio F. Crepaldi , Camilo Rodrigues Neto , Fernando F. Ferreira , Gerson Francisco

We discuss price variations distributions in foreign exchange markets, characterizing them both in calendar and business time frameworks. The price dynamics is found to be the result of two distinct processes, a multi-variance diffusion and…

Statistical Mechanics · Physics 2009-10-31 Michele Pasquini , Maurizio Serva

We present a systematic study of various statistical characteristics of high-frequency returns from the foreign exchange market. This study is based on six exchange rates forming two triangles: EUR-GBP-USD and GBP-CHF-JPY. It is shown that…

Statistical Finance · Quantitative Finance 2011-05-24 Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka , Rafal Rak

The cryptocurrency market is volatile, non-stationary and non-continuous. Together with liquid derivatives markets, this poses a unique opportunity to study risk management, especially the hedging of options, in a turbulent market. We study…

Pricing of Securities · Quantitative Finance 2022-12-05 Jovanka Lili Matic , Natalie Packham , Wolfgang Karl Härdle

Multifractal analysis has become a powerful signal processing tool that characterizes signals or images via the fluctuations of their pointwise regularity, quantified theoretically by the so-called multifractal spectrum. The practical…

Functional Analysis · Mathematics 2018-11-09 Roberto Leonarduzzi , Patrice Abry , Herwig Wendt , Stéphane Jaffard , Hugo Touchette

In the wake of financial crises, stablecoins are gaining adoption among digital currencies. We discuss how stablecoins help reduce the volatility of cryptocurrencies by surveying different types of stablecoins and their stability…

General Finance · Quantitative Finance 2021-03-03 Ayten Kahya , Bhaskar Krishnamachari , Seokgu Yun

Stock markets can become inefficient due to calendar anomalies known as day-of-the-week effect. Calendar anomalies are well-known in financial literature, but the phenomena remain to be explored in econophysics. In this paper we use…

Statistical Finance · Quantitative Finance 2022-05-04 Darko Stosic , Dusan Stosic , Irena Vodenska , H. Eugene Stanley , Tatijana Stosic

A cryptocurrency is a digital asset maintained by a decentralised system using cryptography. Investors in this emerging digital market are exploring the profitability potential of portfolios in place of single coins. Portfolios are…

Physics and Society · Physics 2023-04-06 Ruixue Jing , Luis Enrique Correa Rocha

We have performed detailed multifractal analysis on the minutely volatility of two indexes and 1139 stocks in the Chinese stock markets based on the partition function approach. The partition function $\chi_q(s)$ scales as a power law with…

Statistical Finance · Quantitative Finance 2008-12-02 Zhi-Qiang Jiang , Wei-Xing Zhou

In relation to the traditional financial markets, the cryptocurrency market is a recent invention and the trading dynamics of all its components are readily recorded and stored. This fact opens up a unique opportunity to follow the…

Statistical Finance · Quantitative Finance 2023-05-11 Stanisław Drożdż , Jarosław Kwapień , Marcin Wątorek

We quantify Non Fungible Token (NFT) rarity and investigate how it impacts market behaviour by analysing a dataset of 3.7M transactions collected between January 2018 and June 2022, involving 1.4M NFTs distributed across 410 collections.…

Statistical Finance · Quantitative Finance 2024-05-24 Amin Mekacher , Alberto Bracci , Matthieu Nadini , Mauro Martino , Laura Alessandretti , Luca Maria Aiello , Andrea Baronchelli

Based on the mathematical arguments formulated within the Multifractal Detrended Fluctuation Analysis (MFDFA) approach it is shown that in the uncorrelated time series from the Gaussian basin of attraction the effects resembling…

Data Analysis, Statistics and Probability · Physics 2023-03-30 Jarosław Kwapień , Pawel Blasiak , Stanisław Drożdż , Paweł Oświęcimka

Utilizing graph analytics and learning has proven to be an effective method for exploring aspects of crypto economics such as network effects, decentralization, tokenomics, and fraud detection. However, the majority of existing research…

Computational Engineering, Finance, and Science · Computer Science 2024-03-12 Bingqiao Luo

This paper investigates how changes in investor base is related to idiosyncratic volatility in cryptocurrency markets. For each cryptocurrency, we set change in its subreddit followers as a proxy for the change in its investor base, and…

Computational Finance · Quantitative Finance 2022-11-28 Amin Izadyar , Shiva Zamani

We present a comprehensive study of the destruction of quantum multifractality in the presence of perturbations. We study diverse representative models displaying multifractality, including a pseudointegrable system, the Anderson model and…

Chaotic Dynamics · Physics 2015-10-01 R. Dubertrand , I. García-Mata , B. Georgeot , O. Giraud , G. Lemarié , J. Martin

We present a comparative analysis of multifractal properties of financial time series built on stock indices from developing (WIG) and developed (S&P500) financial markets. It is shown how the multifractal image of the market is altered…

Statistical Finance · Quantitative Finance 2011-07-19 Dariusz Grech , Lukasz Czarnecki

Identifying behavior that is relatively invariant under different conditions is a challenging task in far-from-equilibrium complex systems. As an example of how the existence of a semi-invariant signature can be masked by the heterogeneity…

Statistical Finance · Quantitative Finance 2018-06-22 Abhijit Chakraborty , Soumya Easwaran , Sitabhra Sinha
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