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Social media signals have been successfully used to develop large-scale predictive and anticipatory analytics. For example, forecasting stock market prices and influenza outbreaks. Recently, social data has been explored to forecast price…

Statistical Finance · Quantitative Finance 2019-07-02 Maria Glenski , Tim Weninger , Svitlana Volkova

Financial markets can be seen as complex systems in non-equilibrium steady state, one of whose most important properties is the distribution of price fluctuations. Recently, there have been assertions that this distribution is qualitatively…

Physics and Society · Physics 2008-12-02 Raj Kumar Pan , Sitabhra Sinha

As global financial markets become increasingly interconnected, financial contagion has developed into a major influencer of asset price dynamics. Motivated by this context, our study explores financial contagion both within and between…

Physics and Society · Physics 2026-01-09 An Pham Ngoc Nguyen , Marija Bezbradica , Martin Crane

Academics increasingly acknowledge the predictive power of social media for a wide variety of events and, more specifically, for financial markets. Anecdotal and empirical findings show that cryptocurrencies are among the financial assets…

Social and Information Networks · Computer Science 2024-11-11 Meysam Alizadeh , Yasaman Asgari , Zeynab Samei , Sara Yari , Shirin Dehghani , Mael Kubli , Darya Zare , Juan Diego Bermeo , Veronika Batzdorfer , Fabrizio Gilardi

Non-fungible tokens (NFTs) as a decentralized proof of ownership represent one of the main reasons why Ethereum is a disruptive technology. This paper presents the first systematic study of the interactions occurring in a number of NFT…

Social and Information Networks · Computer Science 2021-10-26 S. Casale-Brunet , P. Ribeca , P. Doyle , M. Mattavelli

We investigate a class of stochastic fragmentation processes involving stable and unstable fragments. We solve analytically for the fragment length density and find that a generic algebraic divergence characterizes its small-size tail.…

Statistical Mechanics · Physics 2007-05-23 P. L. Krapivsky , E. Ben-Naim , I. Grosse

This paper builds a model of high-frequency equity returns by separately modeling the dynamics of trade-time returns and trade arrivals. Our main contributions are threefold. First, we characterize the distributional behavior of…

Trading and Market Microstructure · Quantitative Finance 2014-09-02 Eric M. Aldrich , Indra Heckenbach , Gregory Laughlin

The world economy is experiencing the novel adoption of distributed currencies that are free from the control of central banks. Distributed currencies suffer from extreme volatility, and this can lead to catastrophic implications during…

Cryptography and Security · Computer Science 2022-06-22 Jacques Bou Abdo , Shuvalaxmi Dass , Basheer Qolomany , Liaquat Hossain

We start with the idea that open quantum systems can be used to represent financial markets by modelling events from the external environment and their impact on the market price. We show how to characterize distinct orbits of the time…

Mathematical Finance · Quantitative Finance 2025-05-05 Will Hicks

This paper examines the time series properties of cryptocurrency assets, such as Bitcoin, using established econometric inference techniques, namely models of the GARCH family. The contribution of this study is twofold. I explore the time…

Statistical Finance · Quantitative Finance 2018-12-27 Charles Shaw

In financial markets, greater volatility is usually considered synonym of greater risk and instability. However, large market downturns and upturns are often preceded by long periods where price returns exhibit only small fluctuations. To…

Statistical Finance · Quantitative Finance 2018-06-13 Davide Valenti , Giorgio Fazio , Bernardo Spagnolo

Non-fungible tokens (NFTs) are unique digital items with blockchain managed ownership. Ethereum blockchain based smart contract created the environment for NFTs (ERC721) to reach its one of the most important future application domains. Non…

Social and Information Networks · Computer Science 2022-11-29 Prakhyat Khati

The decisions traders make to buy or sell an asset depend on various analyses, with expertise required to identify patterns that can be exploited for profit. In this paper we identify novel features extracted from emergent and…

Statistical Finance · Quantitative Finance 2024-09-09 Gabriel Rodrigues Palma , Mariusz Skoczeń , Phil Maguire

The L\'evy-stable distribution is the attractor of distributions which hold power laws with infinite variance. This distribution has been used in a variety of research areas, for example in economics it is used to model financial market…

Statistical Mechanics · Physics 2018-07-11 Karina Arias-Calluari , Fernando Alonso-Marroquin , Michael Harre

Dynamically distributed inflation is a common mechanism used to guide a blockchain's staking rate towards a desired equilibrium between network security and token liquidity. However, the high sensitivity of the annual percentage yield to…

Cryptography and Security · Computer Science 2025-10-14 Carlo Brunetta , Amit Chaudhary , Stefano Galatolo , Massimiliano Sala

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

Multifractality in time series analysis characterizes the presence of multiple scaling exponents, indicating heterogeneous temporal structures and complex dynamical behaviors beyond simple monofractal models. In the context of digital…

Statistical Finance · Quantitative Finance 2025-10-16 Stanisław Drożdż , Robert Kluszczyński , Jarosław Kwapień , Marcin Wątorek

The paper proposes and implements a methodology to fit a seven-parameter Generalized Tempered Stable (GTS) distribution to financial data. The nonexistence of the mathematical expression of the GTS probability density function makes the…

Statistical Finance · Quantitative Finance 2025-01-14 Aubain Nzokem , Daniel Maposa

The year 2017 saw the rise and fall of the crypto-currency market, followed by high variability in the price of all crypto-currencies. In this work, we study the abrupt transition in crypto-currency residuals, which is associated with the…

Statistical Finance · Quantitative Finance 2019-11-11 Chengyi Tu , Paolo DOdorico , Samir Suweis

Based on the cryptocurrency market dynamics, this study presents a general methodology for analyzing evolving correlation structures in complex systems using the $q$-dependent detrended cross-correlation coefficient \rho(q,s). By extending…

Statistical Finance · Quantitative Finance 2025-10-29 Marcin Wątorek , Marija Bezbradica , Martin Crane , Jarosław Kwapień , Stanisław Drożdż