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A variant of coupled-cluster theory is described here, wherein the degrees of freedom are fluctuations of fragments between internally correlated states. The effects of intra-fragment correlation on the inter-fragment interaction are…

Chemical Physics · Physics 2019-05-24 Yuhong Liu , Anthony D. Dutoi

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

Statistical Finance · Quantitative Finance 2011-08-22 Laurent Schoeffel

Financial markets exhibit temporal organization that is not fully captured by volatility measures or linear correlation structure. We study a null validated topological approach for quantifying market complexity and apply it to Bitcoin…

Statistical Finance · Quantitative Finance 2026-02-03 Samuel W. Akingbade

A common assumption in cryptocurrency markets is a positive relationship between total-value-locked (TVL) and cryptocurrency returns. To test this hypothesis we examine whether the returns of TVL-sorted portfolios can be explained by common…

Pricing of Securities · Quantitative Finance 2025-06-19 Matt Brigida

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

This article studies the change in the prediction accuracy of a response variable when the number of predictors increases, and all variables follow a multivariate normal distribution. Assuming that the correlations between variables are…

General Economics · Economics 2025-03-06 Maximilian Schaefer

The presence of significant cross-correlations between the synchronous time evolution of a pair of equity returns is a well-known empirical fact. The Pearson correlation is commonly used to indicate the level of similarity in the price…

Statistical Finance · Quantitative Finance 2014-02-07 Dror Y. Kenett , Xuqing Huang , Irena Vodenska , Shlomo Havlin , H. Eugene Stanley

This paper investigates the return-volatility asymmetry of Bitcoin. We find that the cross correlations between return and volatility (squared return) are mostly insignificant on a daily level. In the high-frequency region, we find thata…

Statistical Finance · Quantitative Finance 2021-02-17 T. Takaishi

Stablecoins - crypto tokens whose value is pegged to a real-world asset such as the US Dollar - are an important component of the DeFi ecosystem as they mitigate the impact of token price volatility. In crypto-backed stablecoins, the peg is…

Cryptography and Security · Computer Science 2024-05-15 Bretislav Hajek , Daniel Reijsbergen , Anwitaman Datta , Jussi Keppo

A possible drawback of the ordinary correlation coefficient $\rho$ for two real random variables $X$ and $Y$ is that zero correlation does not imply independence. In this paper we introduce a new correlation coefficient $\rho^*$ which…

Statistics Theory · Mathematics 2007-06-13 Wicher P. Bergsma

Complex systems comprise a large number of interacting elements, whose dynamics is not always a priori known. In these cases -- in order to uncover their key features -- we have to turn to empirical methods, one of which was recently…

Physics and Society · Physics 2008-12-02 Janos Kertesz , Zoltan Eisler

Understanding the structure of financial markets deals with suitably determining the functional relation between financial variables. In this respect, important variables are the trading activity, defined here as the number of trades $N$,…

Trading and Market Microstructure · Quantitative Finance 2018-10-16 Mathias Pohl , Alexander Ristig , Walter Schachermayer , Ludovic Tangpi

The association between log-price increments of exchange-traded equities, as measured by their spot correlation estimated from high-frequency data, exhibits a pronounced upward-sloping and almost piecewise linear relationship at the…

Econometrics · Economics 2026-01-16 Kim Christensen , Ulrich Hounyo , Zhi Liu

Since its conception, the cryptocurrency market has been frequently described as an immature market, characterized by significant swings in volatility and occasionally described as lacking rhyme or reason. There has been great speculation…

Statistical Finance · Quantitative Finance 2023-06-14 Nick James , Max Menzies

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

The cross-correlation matrix of daily returns of stock market indices in a diverse set of 37 countries worldwide was analyzed. Comparison of the spectrum of this matrix with predictions of random matrix theory provides an empirical evidence…

Statistical Mechanics · Physics 2009-11-07 Sergei Maslov

The bitcoin price has surged in recent years and it has also exhibited phases of rapid decay. In this paper we address the question to what extent this novel cryptocurrency market can be viewed as a classic or semi-efficient market. Novel…

Statistical Finance · Quantitative Finance 2019-06-26 Josselin Garnier , Knut Solna

We motivate the study of the crypto asset class with eleven empirical facts, and study the drivers of crypto asset returns through the lens of univariate factors. We argue crypto assets are a new, attractive, and independent asset class. In…

Econometrics · Economics 2024-05-27 Adam Baybutt

In this paper, we introduce a new approach to multivariate forecasting cryptocurrency prices using a hybrid contextual model combining exponential smoothing (ES) and recurrent neural network (RNN). The model consists of two tracks: the…

Machine Learning · Computer Science 2025-04-15 Slawek Smyl , Grzegorz Dudek , Paweł Pełka

This paper offers a thorough examination of the univariate predictability in cryptocurrency time-series. By exploiting a combination of complexity measure and model predictions we explore the cryptocurrencies time-series forecasting task…

Statistical Finance · Quantitative Finance 2025-02-14 Francesco Puoti , Fabrizio Pittorino , Manuel Roveri
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