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In this study the cross-correlations between the cryptocurrency market represented by the two most liquid and highest-capitalized cryptocurrencies: bitcoin and ethereum, on the one side, and the instruments representing the traditional…

Statistical Finance · Quantitative Finance 2023-03-02 Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

This article presents an empirical study of thirteen derivative markets for commodity and financial assets. It compares the statistical properties of futures contracts's daily returns at different maturities, from 1998 to 2010 and for…

Statistical Finance · Quantitative Finance 2015-05-20 Delphine Lautier , Franck Raynaud

We explore the spectral properties of the $4$-fermion Sachdev-Ye-Kitaev model with interaction sourced from a L\'evy Stable (fat-tailed) distribution. L\'evy random matrices are known to demonstrate non-ergodic behaviour through the…

Quantum Physics · Physics 2025-06-06 Budhaditya Bhattacharjee , William E. Salazar , Dario Rosa , Alexei Andreanov

Stable coins are not very stable. Cash collateralized coins are more stable, but the overall failure rate is similar to tokens that are not designed to be stable. USD Coin, Tether and Dai have the largest Ethereum market shares, and they…

Trading and Market Microstructure · Quantitative Finance 2023-02-28 Bruce Mizrach

Bitcoin and other similar digital currencies on blockchains are not ideal means for payment, because their prices tend to go up in the long term (thus people are incentivized to hoard those currencies), and to fluctuate widely in the short…

Computers and Society · Computer Science 2019-05-17 Kenji Saito , Mitsuru Iwamura

In the present paper, we discuss contra-arguments concerning the use of Pareto-Lev\'y distributions for modeling in Finance. It appears that such probability laws do not provide sufficient number of outliers observed in real data.…

Applications · Statistics 2016-02-02 Lev B. Klebanov , Greg Temnov , Ashot V. Kakosyan

Cryptocurrencies are highly volatile financial instruments with more and more new retail investors joining the scene with each passing day. Bitcoin has always proved to determine in which way the rest of the cryptocurrency market is headed…

Statistical Finance · Quantitative Finance 2024-11-22 Rahul Arulkumaran , Suyash Kumar , Shikha Tomar , Manideep Gongalla , Harshitha

The Levy-type distributions are derived using the principle of maximum Tsallis nonextensive entropy both in the full and half spaces. The rates of convergence to the exact Levy stable distributions are determined by taking the N-fold…

Statistical Mechanics · Physics 2009-10-31 Sumiyoshi Abe , A. K. Rajagopal

We present a model of financial markets originally proposed for a turbulent flow, as a dynamic basis of its intermittent behavior. Time evolution of the price change is assumed to be described by Brownian motion in a power-law potential,…

Statistical Mechanics · Physics 2009-11-07 Naoki Kozuki , Nobuko Fuchikami

Asset exchange models (AEMs) provide a physics-inspired framework for studying wealth formation. These models capture wealth distribution dynamics via pairwise money exchanges, yielding steady-state distributions from exponential to…

Physics and Society · Physics 2025-09-30 Joel Wagner , Siew Ann Cheong , Viola Priesemann

The S&P 500 index is considered the most popular trading instrument in financial markets. With the rise of cryptocurrencies over the past years, Bitcoin has also grown in popularity and adoption. The paper aims to analyze the daily return…

Statistical Finance · Quantitative Finance 2024-06-11 A. H. Nzokem

Employing a recent technique which allows the representation of nonstationary data by means of a juxtaposition of locally stationary patches of different length, we introduce a comprehensive analysis of the key observables in a financial…

Statistical Finance · Quantitative Finance 2013-05-03 Sabrina Camargo , Silvio M. Duarte Queiros , Celia Anteneodo

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

The financial market is nonpredictable, as according to the Bachelier, the mathematical expectation of the speculator is zero. Nevertheless, we observe in the price fluctuations the two distinct scales, short and long time. Behaviour of a…

Physics and Society · Physics 2008-12-02 R. Wojnar

Historically, gold and silver have played distinct roles in traditional monetary systems. While gold has primarily been revered as a superior store of value, prompting individuals to hoard it, silver has commonly been used as a medium of…

Computational Engineering, Finance, and Science · Computer Science 2025-08-11 Haoyang Yu , Yutong Sun , Yulin Liu , Luyao Zhang

We show that assuming that the returns are independent when conditioned on the value of their variance (volatility), which itself varies in time randomly, then the distribution of returns is well described by the statistics of the sum of…

Statistical Finance · Quantitative Finance 2025-04-30 Hernán Larralde , Roberto Mota Navarro

The properties of tokens within the Ethereum blockchain, such as their current prices, trade volumes, and potential future values, have been the subjects of numerous studies. Employing social networks and graphs, as powerful tools for…

Social and Information Networks · Computer Science 2023-10-24 Aryan Soltani Mohammadi , Moein Karami , Amir Pasha Motamed , Behnam Bahrak

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

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

This study presents an innovative approach for predicting cryptocurrency time series, specifically focusing on Bitcoin, Ethereum, and Litecoin. The methodology integrates the use of technical indicators, a Performer neural network, and…

Computational Finance · Quantitative Finance 2024-03-07 Mohammad Ali Labbaf Khaniki , Mohammad Manthouri
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