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In the age of globalization, it is natural that the stock market of each country is not independent form the other markets. In this case, collective behavior could be emerged form their dependency together. This article studies the…

Statistical Finance · Quantitative Finance 2017-03-28 M. Saeedian , T. Jamali , M. Z. Kamali , H. Bayani , T. Yasseri , G. R. Jafari

In the last years efforts in econophysics have been shifted to study how network theory can facilitate understanding of complex financial markets. Main part of these efforts is the study of correlation-based hierarchical networks. This is…

Statistical Finance · Quantitative Finance 2014-06-18 Paweł Fiedor

This paper characterises dynamic linkages arising from shocks with heterogeneous degrees of persistence. Using frequency domain techniques, we introduce measures that identify smoothly varying links of a transitory and persistent nature.…

Econometrics · Economics 2023-11-21 Jozef Barunik , Michael Ellington

We study how to assess the potential benefit of diversifying an equity portfolio by investing within and across equity sectors. We analyse 20 years of US stock price data, which includes the global financial crisis (GFC) and the COVID-19…

Portfolio Management · Quantitative Finance 2022-06-22 Nick James , Max Menzies , Georg A. Gottwald

Since the latest financial crisis, the idea of systemic risk has received considerable interest. In particular, contagion effects arising from cross-holdings between interconnected financial firms have been studied extensively. Drawing…

Risk Management · Quantitative Finance 2018-10-30 Nils Bertschinger , Julian Stobbe

We report evidence of a deep interplay between cross-correlations hierarchical properties and multifractality of New York Stock Exchange daily stock returns. The degree of multifractality displayed by different stocks is found to be…

Statistical Finance · Quantitative Finance 2014-04-10 Raffaello Morales , T. Di Matteo , Tomaso Aste

Applying a network analysis to stock return correlations, we study the dynamical properties of the network and how they correlate with the market return, finding meaningful variables that partially capture the complex dynamical processes of…

Statistical Finance · Quantitative Finance 2024-08-22 Ixandra Achitouv

In this paper, we propose a dynamical model to capture cascading failures among interconnected organizations in the global financial system. Failures can take the form of bankruptcies, defaults, and other insolvencies. The network that…

Optimization and Control · Mathematics 2023-11-13 Leonardo Stella , Dario Bauso , Franco Blanchini , Patrizio Colaneri

We present the application of topological data analysis (TDA) to study unweighted complex networks via their persistent homology. By endowing appropriate weights that capture the inherent topological characteristics of such a network, we…

Discrete Mathematics · Computer Science 2021-02-03 Indrava Roy , Sudharsan Vijayaraghavan , Sarath Jyotsna Ramaia , Areejit Samal

Graph curvature provides geometric priors for Graph Neural Networks (GNNs), enhancing their ability to model complex graph structures, particularly in terms of structural awareness, robustness, and theoretical interpretability. Among…

Machine Learning · Computer Science 2025-12-29 Chaoqun Fei , Tinglve Zhou , Tianyong Hao , Yangyang Li

In this study, we propose a new multi-objective portfolio optimization with idiosyncratic and systemic risks for financial networks. The two risks are measured by the idiosyncratic variance and the network clustering coefficient derived…

Portfolio Management · Quantitative Finance 2021-11-23 Yajie Yang , Longfeng Zhao , Lin Chen , Chao Wang , Jihui Han

We analyze the stability of financial investment networks, where financial institutions hold overlapping portfolios of assets. We consider the effect of portfolio diversification and heterogeneous investments using a random matrix dynamical…

Risk Management · Quantitative Finance 2025-02-03 Preben Forer , Barak Budnick , Pierpaolo Vivo , Sabrina Aufiero , Silvia Bartolucci , Fabio Caccioli

The recent financial crisis has stressed the need to understand financial systems as networks of interdependent countries, where cross-border financial linkages play the fundamental role. It has also been emphasized that the relevance of…

Statistical Finance · Quantitative Finance 2015-06-03 Alessandro Spelta , Tanya Araújo

I find a topological arrangement of stocks traded in a financial market which has associated a meaningful economic taxonomy. The topological space is a graph connecting the stocks of the portfolio analyzed. The graph is obtained starting…

Statistical Mechanics · Physics 2009-10-31 Rosario N. Mantegna

We consider different levels of complexity which are observed in the empirical investigation of financial time series. We discuss recent empirical and theoretical work showing that statistical properties of financial time series are rather…

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

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

This paper studies the time-varying structure of the equity market with respect to market capitalization. First, we analyze the distribution of the 100 largest companies' market capitalizations over time, in terms of inequality,…

Mathematical Finance · Quantitative Finance 2025-02-21 Nick James , Max Menzies

In order to use the advanced inference techniques available for Ising models, we transform complex data (real vectors) into binary strings, by local averaging and thresholding. This transformation introduces parameters, which must be varied…

Statistical Finance · Quantitative Finance 2015-06-17 Hongli Zeng , Rémi Lemoy , Mikko Alava

We provide a framework for detecting relevant insurance companies in a systemic risk perspective. Among the alternative methodologies for measuring systemic risk, we propose a complex network approach where insurers are linked to form a…

Risk Management · Quantitative Finance 2020-11-24 Gian Paolo Clemente , Alessandra Cornaro

I study the limit of a large random economy, where a set of consumers invests in financial instruments engineered by banks, in order to optimize their future consumption. This exercise shows that, even in the ideal case of perfect…

Statistical Finance · Quantitative Finance 2009-06-09 Matteo Marsili