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In this paper, we are interested in continuous time models in which the index level induces some feedback on the dynamics of its composing stocks. More precisely, we propose a model in which the log-returns of each stock may be decomposed…

Pricing of Securities · Quantitative Finance 2009-11-17 Benjamin Jourdain , Mohamed Sbai

Traded corporations are required by law to have a majority of outside directors on their board. This requirement allows the existence of directors who sit on the board of two or more corporations at the same time, generating what is…

General Finance · Quantitative Finance 2014-10-27 Serguei Saavedra , Luis J. Gilarranz , Rudolf P. Rohr , Michael Schnabel , Brian Uzzi , Jordi Bascompte

The study of temporal networks in discrete time has yielded numerous insights into time-dependent networked systems in a wide variety of applications. For many complex systems, however, it is useful to develop continuous-time models of…

Social and Information Networks · Computer Science 2021-02-10 Xinzhe Zuo , Mason A Porter

Tasks that require information about the world imply a trade-off between the time spent on observation and the variance of the response. In particular, fast decisions need to rely on uncertain information. However, standard estimates of…

Neurons and Cognition · Quantitative Biology 2023-07-18 Sahel Azizpour , Viola Priesemann , Johannes Zierenberg , Anna Levina

Trading pressure from one asset can move the price of another, a phenomenon referred to as cross impact. Using tick-by-tick data spanning 5 years for 500 assets listed in the United States, we identify the features that make cross-impact…

Trading and Market Microstructure · Quantitative Finance 2024-03-27 Victor Le Coz , Iacopo Mastromatteo , Damien Challet , Michael Benzaquen

The vast majority of strategies aimed at controlling contagion processes on networks considers the connectivity pattern of the system as either quenched or annealed. However, in the real world many networks are highly dynamical and evolve…

Physics and Society · Physics 2015-06-17 Suyu Liu , Nicola Perra , Marton Karsai , Alessandro Vespignani

In discrete-time dynamics, it is frequently assumed that the transition probabilities (e.g., the recovery probability) are independent of the network structure. However, there is a lack of empirical evidence to support this claim in large…

Physics and Society · Physics 2025-10-27 Chao-Ran Cai , Dong-Qian Cai

We construct a correlation matrix based financial network for a set of New York Stock Exchange (NYSE) traded stocks with stocks corresponding to nodes and the links between them added one after the other, according to the strength of the…

Physics and Society · Physics 2007-05-23 G. Tibely , J. -P. Onnela , J. Saramaki , K. Kaski , J. Kertesz

In order to pursue the issue of the relation between the financial cross-correlations and the conventional Random Matrix Theory we analyse several characteristics of the stock market correlation matrices like the distribution of…

Statistical Finance · Quantitative Finance 2008-12-02 S. Drozdz , J. Kwapien , P. Oswiecimka

We have investigated the time series by the mapping them to the complex network. We have studied the behavior of the relative number of clusters in dynamic visibility graphs near the critical value of the angle of view. Time series of…

Disordered Systems and Neural Networks · Physics 2013-02-15 A. Snarskii , I. Bezsudnov

This paper derives the expressions of correlations between prices of two assets, returns of two assets, and price-return correlations of two assets that depend on statistical moments and correlations of the current values, past values, and…

General Economics · Economics 2024-12-18 Victor Olkhov

Time series forecasting is extensively applied across diverse domains. Transformer-based models demonstrate significant potential in modeling cross-time and cross-variable interaction. However, we notice that the cross-variable correlation…

Machine Learning · Computer Science 2024-10-08 Ao Hu , Dongkai Wang , Yong Dai , Shiyi Qi , Liangjian Wen , Jun Wang , Zhi Chen , Xun Zhou , Zenglin Xu , Jiang Duan

We investigate the time series of the degree of minimum spanning trees obtained by using a correlation based clustering procedure which is starting from (i) asset return and (ii) volatility time series. The minimum spanning tree is obtained…

Statistical Mechanics · Physics 2009-11-07 Salvatore Miccichè , Giovanni Bonanno , Fabrizio Lillo , Rosario N. Mantegna

Without having direct access to the information that is being exchanged, traces of information flow can be obtained by looking at temporal sequences of user interactions. These sequences can be represented as causality trees whose…

Physics and Society · Physics 2013-02-04 Fernando Peruani , Lionel Tabourier

In terms of transfer entropy, we investigated the strength and the direction of information transfer in the US stock market. Through the directionality of the information transfer, the more influential company between the correlated ones…

Physics and Society · Physics 2008-12-02 Seung Ki Baek , Woo-Sung Jung , Okyu Kwon , Hie-Tae Moon

This paper studies cross-market return predictability through a machine learning framework that preserves economic structure. Exploiting the non-overlapping trading hours of the U.S. and Chinese equity markets, we construct a directed…

Machine Learning · Computer Science 2026-04-15 Jing Liu , Maria Grith , Xiaowen Dong , Mihai Cucuringu

Financial networks are typically estimated by applying standard time series analyses to price-based economic variables collected at low-frequency (e.g., daily or monthly stock returns or realized volatility). These networks are used for…

Statistical Finance · Quantitative Finance 2022-08-09 Kara Karpman , Sumanta Basu , David Easley

Summarized by the efficient market hypothesis, the idea that stock prices fully reflect all available information is always confronted with the behavior of real-world markets. While there is plenty of evidence indicating and quantifying the…

Physics and Society · Physics 2020-12-16 Luiz G. A. Alves , Higor Y. D. Sigaki , Matjaz Perc , Haroldo V. Ribeiro

We introduce a new test for detection of power-law cross-correlations among a pair of time series - the rescaled covariance test. The test is based on a power-law divergence of the covariance of the partial sums of the long-range…

Statistical Finance · Quantitative Finance 2013-10-10 Ladislav Kristoufek

We analyzed multifractal properties of 5-minute stock returns from a period of over two years for 100 highly capitalized American companies. The two sources: fat-tailed probability distributions and nonlinear temporal correlations, vitally…

Other Condensed Matter · Physics 2009-11-10 J. Kwapien , P. Oswiecimka , S. Drozdz