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We analyze the time series of four major cryptocurrencies (Bitcoin, Ethereum, Litecoin, and Ripple) before the digital market crash at the end of 2017 - beginning 2018. We introduce a methodology that combines topological data analysis with…

Mathematical Finance · Quantitative Finance 2018-09-05 Marian Gidea , Daniel Goldsmith , Yuri Katz , Pablo Roldan , Yonah Shmalo

We model the dynamics of the cryptocurrency (CC) asset class via a stochastic volatility with correlated jumps (SVCJ) model with rolling-window parameter estimates. By analyzing the time-series of parameters, stylized patterns are…

Statistical Finance · Quantitative Finance 2022-01-07 Konstantin Häusler , Wolfgang Karl Härdle

We consider stochastic electro-mechanical dynamics of an overdamped power system in the vicinity of the saddle-node bifurcation associated with the loss of global stability such as voltage collapse or phase angle instability. Fluctuations…

Physics and Society · Physics 2016-11-18 Dmitry Podolsky , Konstantin Turitsyn

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

This paper is the first of a series of short articles that explore the efficiency of major cryptocurrency markets. A number of statistical tests and properties of statistical distributions will be used to assess if cryptocurrency markets…

Statistical Finance · Quantitative Finance 2020-04-01 Eugene Tartakovsky , Ksenia Plesovskikh , Anastasiia Sarmakeeva , Alexander Bibik

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

Time series of price returns for 80 of the most liquid cryptocurrencies listed on Binance are investigated for the presence of detrended cross-correlations. A spectral analysis of the detrended correlation matrix and a topological analysis…

Statistical Finance · Quantitative Finance 2021-12-14 Jarosław Kwapień , Marcin Wątorek , Stanisław Drożdż

The use of critical slowing down as an early warning indicator for regime switching in observations from stochastic environments and noisy dynamical models has been widely studied and implemented in recent years. Some systems, however, have…

Dynamical Systems · Mathematics 2019-01-25 Mathew Titus , Zach Gelbaum , James Watson

This paper introduces new methods to study behaviours among the 52 largest cryptocurrencies between 01-01-2019 and 30-06-2021. First, we explore evolutionary correlation behaviours and apply a recently proposed turning point algorithm to…

Statistical Finance · Quantitative Finance 2022-11-15 Nick James , Max Menzies

Since the inception of Bitcoin in 2008, cryptocurrencies have played an increasing role in the world of e-commerce, but the recent turbulence in the cryptocurrency market in 2018 has raised some concerns about their stability and associated…

Methodology · Statistics 2021-04-14 Yan Gong , Raphaël Huser

Thanks to the high potential for profit, trading has become increasingly attractive to investors as the cryptocurrency and stock markets rapidly expand. However, because financial markets are intricate and dynamic, accurately predicting…

The paper analyzes the cryptocurrency ecosystem at both the aggregate and individual levels to understand the factors that impact future volatility. The study uses high-frequency panel data from 2020 to 2022 to examine the relationship…

Statistical Finance · Quantitative Finance 2024-04-09 Alessio Brini , Jimmie Lenz

Bifurcations can cause dynamical systems with slowly varying parameters to transition to far-away attractors. The terms ``critical transition'' or ``tipping point'' have been used to describe this situation. Critical transitions have been…

Dynamical Systems · Mathematics 2015-03-17 Christian Kuehn

The principal aim of this work is the evidence on empirical way that catastrophic bifurcation breakdowns or transitions, proceeded by flickering phenomenon, are present on notoriously significant and unpredictable financial markets.…

Statistical Finance · Quantitative Finance 2014-02-18 M. Kozłowska , T. Gubiec , T. R. Werner , M. Denys , A. Sienkiewicz , R. Kutner , Z. Struzik

We present positive evidence of price stability of cryptocurrencies as a medium of exchange. For the sample years from 2016 to 2020, the prices of major cryptocurrencies are found to be stable, relative to major financial assets.…

General Economics · Economics 2021-12-14 Tatsuru Kikuchi , Toranosuke Onishi , Kenichi Ueda

Cross-correlations in fluctuations of the daily exchange rates within the basket of the 100 highest-capitalization cryptocurrencies over the period October 1, 2015, through March 31, 2019, are studied. The corresponding dynamics…

Statistical Finance · Quantitative Finance 2020-02-12 Stanisław Drożdż , Ludovico Minati , Paweł Oświęcimka , Marek Stanuszek , Marcin Wątorek

The cryptocurrency market is amongst the fastest-growing of all the financial markets in the world. Unlike traditional markets, such as equities, foreign exchange and commodities, cryptocurrency market is considered to have larger…

General Finance · Quantitative Finance 2020-04-06 Fan Fang , Waichung Chung , Carmine Ventre , Michail Basios , Leslie Kanthan , Lingbo Li , Fan Wu

Critical slowing down (CSD) has been a trademark of critical dynamics for equilibrium phase transitions of a many-body system, where the relaxation time for the system to reach thermal equilibrium or quantum ground state diverges with…

Quantum Physics · Physics 2023-08-02 Wenqian Zhang , Yadong Wu , Xingze Qiu , Jue Nan , Xiaopeng Li

The `Black Thursday' crisis in cryptocurrency markets demonstrated deleveraging risks in over-collateralized non-custodial stablecoins. We develop a stochastic model that helps explain deleveraging crises in these over-collateralized…

Trading and Market Microstructure · Quantitative Finance 2022-08-02 Ariah Klages-Mundt , Andreea Minca

Recent empirical evidence has highlighted the crucial role of jumps in both price and volatility within the cryptocurrency market. In this paper, we integrate price--volatility co-jumps and volatility short-term dependency into a coherent…

Pricing of Securities · Quantitative Finance 2025-06-17 Boyi Li , Weixuan Xia
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