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Modern technology has brought novel types of wealth. In contrast to hard cashes, digital currencies do not have a physical form. They exist in electronic forms only. Yet, it has not been clear what impacts their ongoing growth will make, if…

General Economics · Economics 2023-10-02 Zae Young Kim , Jeong-Hyuck Park

Bitcoin is a peer-to-peer electronic payment system that has rapidly grown in popularity in recent years. Usually, the complete history of Bitcoin blockchain data must be queried to acquire variables with economic meaning. This task has…

General Economics · Economics 2025-08-11 Yulin Liu , Luyao Zhang , Yinhong Zhao

Using 1-min returns of Bitcoin prices, we investigate statistical properties and multifractality of a Bitcoin time series. We find that the 1-min return distribution is fat-tailed, and kurtosis largely deviates from the Gaussian…

Statistical Finance · Quantitative Finance 2018-05-29 Tetsuya Takaishi

Bitcoin is a digital financial asset that is devoid of a central authority. This makes it distinct from traditional financial assets in a number of ways. For instance, the total number of tokens is limited and it has not explicit use value.…

Statistical Finance · Quantitative Finance 2020-05-20 C. R. da Cunha , R. da Silva

Using the asymmetric stochastic volatility model, this study investigates the day-of-the-week and holiday effects on the returns and volatility of Bitcoin from January 1, 2013 to August 31, 2019; in this context, we also discuss the…

Statistical Finance · Quantitative Finance 2022-10-17 Noriyuki Kunimoto , Kazuhiko Kakamu

Cryptocurrencies have recently been in the spotlight of public debate due to their embrace by the new US President, with crypto fans expecting a 'bull run'. The global cryptocurrency market capitalisation is more than \$3.50 trillion, with…

Computational Engineering, Finance, and Science · Computer Science 2025-11-12 Marco Venturini , Daniel García-Costa , Elena Álvarez-García , Francisco Grimaldo , Flaminio Squazzoni

The aim of this paper is to analyse the Bitcoin in order to shed some light on its nature and behaviour. We select 9 cryptocurrencies that account for almost 75\% of total market capitalisation and compare their evolution with that of a…

Statistical Finance · Quantitative Finance 2023-09-08 Esther Cabezas-Rivas , Felipe Sánchez-Coll , Isaac Tormo-Xaixo

This study, to the best of our knowledge for the first time, delves into the spatiotemporal dynamics of Bitcoin transactions, shedding light on the scaling laws governing its geographic usage. Leveraging a dataset of IP addresses and…

Social and Information Networks · Computer Science 2023-09-22 Lajos Kelemen , István András Seres , Ágnes Backhausz

A reputation of high volatility accompanies the emergence of Bitcoin as a financial asset. This paper intends to nuance this reputation and clarify our understanding of Bitcoin's volatility. Using daily, weekly, and monthly closing prices…

Statistical Finance · Quantitative Finance 2021-03-02 Nassim Dehouche

In this paper, we explore some stylized facts of the Bitcoin market using the BTC-USD exchange rate time series of historical intraday data from 2013 to 2020. Bitcoin presents some very peculiar idiosyncrasies, like the absence of…

Statistical Finance · Quantitative Finance 2024-09-04 F. N. M. de Sousa Filho , J. N. Silva , M. A. Bertella , E. Brigatti

The Bitcoin protocol is a significant milestone in the history of money. However, its adoption is currently constrained by the transaction limits of the system. As the chief problem of blockchain technology, the scaling issue has attracted…

Cryptography and Security · Computer Science 2019-04-03 Kazım Rıfat Özyılmaz , Harsh Patel , Ankit Malik

There are different interpretations of the terms "tokens" and "token-based systems" in the literature around blockchain and digital currencies although the distinction between token-based and account-based systems is well entrenched in…

Theoretical Economics · Economics 2021-09-21 Aldar C-F. Chan

Bitcoin operates as a macroeconomic paradox: it combines a strictly predetermined, inelastic monetary issuance schedule with a stochastic, highly elastic demand for scarce block space. This paper empirically validates the Endogenous…

Statistical Finance · Quantitative Finance 2025-12-10 Hamoon Soleimani

The possibility to analyze everyday monetary transactions is limited by the scarcity of available data, as this kind of information is usually considered highly sensitive. Present econophysics models are usually employed on presumed random…

Physics and Society · Physics 2014-04-01 Dániel Kondor , Márton Pósfai , István Csabai , Gábor Vattay

This study investigates the volatility of daily Bitcoin returns and multifractal properties of the Bitcoin market by employing the rolling window method and examines relationships between the volatility asymmetry and market efficiency.…

Statistical Finance · Quantitative Finance 2021-02-18 Tetsuya Takaishi

We condense the theory of blockchains down to a simple and compact set of four type equations (Idealised EUTxO), and to an algebraic characterisation (abstract chunk systems), and exhibit an adjoint pair of functors between them. This gives…

Logic in Computer Science · Computer Science 2022-03-01 Murdoch J. Gabbay

We organize existing empirical regularities of cryptocurrencies into seven stylized facts and analyze cryptocurrencies through the lens of empirical asset pricing. We find important similarities with traditional markets--risk-adjusted…

General Finance · Quantitative Finance 2026-03-24 Nicola Borri , Yukun Liu , Aleh Tsyvinski , Xi Wu

We construct the Bitcoin User Network (BUN) directly from raw blockchain data up to late 2025, which allows us to explore its mesoscopic properties and trace its temporal evolution. In particular, we analyze the structure of connected…

Social and Information Networks · Computer Science 2025-12-02 Myriam Nonaka , F. Javier Marín-Rodríguez , Alexander Jiricny , Miguel Romance , Regino Criado , Sergio Iglesias-Pérez , Alberto Partida

When analyzing Bitcoin users' balance distribution, we observed that it follows a log-normal pattern. Drawing parallels from the successful application of Gibrat's law of proportional growth in explaining city size and word frequency…

General Economics · Economics 2024-09-17 Yu Zhang , Claudio Tessone

We study the information dynamics between the largest Bitcoin exchange markets during the bubble in 2017-2018. By analysing high-frequency market-microstructure observables with different information theoretic measures for dynamical…

Statistical Finance · Quantitative Finance 2022-05-04 Vaiva Vasiliauskaite , Fabrizio Lillo , Nino Antulov-Fantulin
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