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The problem of non-stationarity in financial markets is discussed and related to the dynamic nature of price volatility. A new measure is proposed for estimation of the current asset volatility. A simple and illustrative explanation is…

Statistical Finance · Quantitative Finance 2016-09-08 Sergey S. Stepanov

Centrality is an important notion in network analysis and is used to measure the degree to which network structure contributes to the importance of a node in a network. While many different centrality measures exist, most of them apply to…

Computers and Society · Computer Science 2010-06-04 Kristina Lerman , Rumi Ghosh , Jeon Hyung Kang

Much of the past work in network analysis has focused on analyzing discrete graphs, where binary edges represent the "presence" or "absence" of a relationship. Since traditional network measures (e.g., betweenness centrality) utilize a…

Social and Information Networks · Computer Science 2011-04-05 Joseph J. Pfeiffer , Jennifer Neville

The analysis of complex networks has so far revolved mainly around the role of nodes and communities of nodes. However, the dynamics of interconnected systems is commonly focalised on edge processes, and a dual edge-centric perspective can…

Physics and Society · Physics 2014-04-25 Michael T. Schaub , Jörg Lehmann , Sophia N. Yaliraki , Mauricio Barahona

Bank crisis is challenging to define but can be manifested through bank contagion. This study presents a comprehensive framework grounded in nonlinear time series analysis to identify potential early warning signals (EWS) for impending…

Risk Management · Quantitative Finance 2023-10-17 Shijia Song , Handong Li

Financial market resilience reflects the ability of a financial market to withstand external shocks and to recover from them, while its measurement has yet to be standardized. Accordingly, this paper quantifies the adaptability and…

Risk Management · Quantitative Finance 2025-11-13 Si-Yao Wei , Kun-Liang Jiang , Wei-Xing Zhou

We follow the main stocks belonging to the New York Stock Exchange and to Nasdaq from 2003 to 2012, through years of normality and of crisis, and study the dynamics of networks built on two measures expressing relations between those…

Statistical Finance · Quantitative Finance 2014-09-02 Leonidas Sandoval Junior

Common asset holdings are widely believed to have been the primary vector of contagion in the recent financial crisis. We develop a network approach to the amplification of financial contagion due to the combination of overlapping…

General Finance · Quantitative Finance 2012-11-06 Fabio Caccioli , Munik Shrestha , Cristopher Moore , J. Doyne Farmer

A basic model of a dynamical distribution network is considered, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2014-03-24 Jieqiang Wei , Arjan van der Schaft

Understanding how information flows through the financial networks is important, especially during times of market turbulence. Unlike traditional assumptions where information travels along the shortest paths, real-world diffusion processes…

Statistical Finance · Quantitative Finance 2025-09-12 Pawanesh Pawanesh , Charu Sharma , Niteesh Sahni

This paper introduces a global stock market volatility forecasting model that enhances forecasting accuracy and practical utility in real-world financial decision-making by integrating dynamic graph structures and encompassing all active…

General Finance · Quantitative Finance 2025-09-17 Zhengyang Chi , Junbin Gao , Chao Wang

We introduce a new framework for the analysis of the dynamics of networks, based on randomly reinforced urn (RRU) processes, in which the weight of the edges is determined by a reinforcement mechanism. We rigorously explain the empirical…

Physics and Society · Physics 2012-03-08 Guido Caldarelli , Alessandro Chessa , Irene Crimaldi , Fabio Pammolli

We consider weighted directed networks for analysing, over the period 2000-2013, the interdependencies between volatilities of a large panel of stocks belonging to the S\&P100 index. In particular, we focus on the so-called {\it Long-Run…

Statistical Finance · Quantitative Finance 2019-01-31 Matteo Barigozzi , Marc Hallin

In this work, we study the dynamical robustness in a system consisting of both active and inactive oscillators. We analytically show that the dynamical robustness of such system is determined by the cross link density between active and…

Adaptation and Self-Organizing Systems · Physics 2017-03-01 Wenwen Huang , Xiyun Zhang , Xin Hu , Zonghua Liu , Shuguang Guan

Traditional balance-of-payments (BoP) analysis treats national external positions as largely idiosyncratic time series. This misses an essential structural fact: global imbalances are jointly realized on a directed, weighted network of…

Physics and Society · Physics 2026-02-04 Chandrasekhar Gokavarapu

We introduce the concept of natural connectivity as a robustness measure of complex networks. The natural connectivity has a clear physical meaning and a simple mathematical formulation. It characterizes the redundancy of alternative paths…

Statistical Mechanics · Physics 2008-02-20 Jun Wu , Yue-Jin Tan , Hong-Zhong Deng , Yong Li , Bin Liu , Xin Lv

In this paper we investigate equilibria of continuous differential equation models of network dynamics. The motivation comes from gene regulatory networks where each directed edge represents either down- or up-regulation, and is modeled by…

Dynamical Systems · Mathematics 2021-07-08 William Duncan , Tomas Gedeon , Hiroshi Kokubu , Konstantin Mischaikow , Hiroe Oka

The functions of many networked systems in physics, biology or engineering rely on a coordinated or synchronized dynamics of its constituents. In power grids for example, all generators must synchronize and run at the same frequency and…

Adaptation and Self-Organizing Systems · Physics 2017-09-13 Debsankha Manik , Marc Timme , Dirk Witthaut

One of the most defining features of the global financial network is its inherent complex and intertwined structure. From the perspective of systemic risk it is important to understand the influence of this network structure on default…

Risk Management · Quantitative Finance 2019-12-11 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou , Daniel Ritter

We develop a novel stress-test framework to monitor systemic risk in financial systems. The modular structure of the framework allows to accommodate for a variety of shock scenarios, methods to estimate interbank exposures and mechanisms of…

Risk Management · Quantitative Finance 2016-02-23 Stefano Battiston , Marco D'Errico , Stefano Gurciullo , Guido Caldarelli
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