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We consider a banking network represented by a system of stochastic differential equations coupled by their drift. We assume a core-periphery structure, and that the banks in the core hold a bubbly asset. The banks in the periphery have not…

Mathematical Finance · Quantitative Finance 2018-06-06 Francesca Biagini , Andrea Mazzon , Thilo Meyer-Brandis

An appropriate calibration and forecasting of volatility and market risk are some of the main challenges faced by companies that have to manage the uncertainty inherent to their investments or funding operations such as banks, pension funds…

Risk Management · Quantitative Finance 2020-08-19 E. Ramos-Pérez , P. J. Alonso-González , J. J. Núñez-Velázquez

A model of an evolving network of interacting molecular species is shown to exhibit repeated rounds of crashes in which several species get rapidly depopulated, followed by recoveries. The network inevitably self-organizes into an…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Sanjay Jain , Sandeep Krishna

We explore the evolution of daily returns of four major US stock market indices during the technology crash of 2000, and the financial crisis of 2007-2009. Our methodology is based on topological data analysis (TDA). We use persistence…

Mathematical Finance · Quantitative Finance 2017-11-22 Marian Gidea , Yuri Katz

Portfolio diversification is a cornerstone of modern finance, while risk aversion is central to decision theory; both concepts are long-standing and foundational. We investigate their connections by studying how different forms of…

Theoretical Economics · Economics 2026-03-26 Xiangxin He , Fangda Liu , Ruodu Wang

The 2008 financial crisis exposed fundamental vulnerabilities in interconnected banking systems, yet existing frameworks fail to integrate spatial propagation with network contagion mechanisms. This paper develops a unified spatial-network…

Risk Management · Quantitative Finance 2025-11-13 Tatsuru Kikuchi

Following the financial crisis of 2007-2008, a deep analogy between the origins of instability in financial systems and complex ecosystems has been pointed out: in both cases, topological features of network structures influence how easily…

Risk Management · Quantitative Finance 2017-02-28 Marco Bardoscia , Stefano Battiston , Fabio Caccioli , Guido Caldarelli

In behavioral finance, aversion affects investors' judgment of future uncertainty when profit and loss occur. Considering investors' aversion to loss and risk, and the ambiguous uncertainty characterizing asset returns, we construct a…

Optimization and Control · Mathematics 2022-05-06 Xin Zhang

In this paper we present a new way to understand the timing of branching events in phylogenetic trees. Our method explicitly considers the relative timing of diversification events between sister clades; as such it is complimentary to…

Populations and Evolution · Quantitative Biology 2008-03-12 Daniel Ford , Tanja Gernhard , Frederick Matsen

Efforts to apply economic complexity to identify diversification opportunities often rely on diagrams comparing the relatedness and complexity or products, technologies, or industries. Yer, the use of these diagrams is not based on…

General Economics · Economics 2025-09-25 Viktor Stojkoski , César A. Hidalgo

We consider the effects of the global financial crisis through a local Korean financial market around the 2008 crisis. We analyze 185 individual stock prices belonging to the KOSPI (Korea Composite Stock Price Index), cosidering three time…

General Finance · Quantitative Finance 2013-07-29 Ashadun Nobi , Seong Eun Maeng , Gyeong Gyun Ha , Jae Woo Lee

Many topological data analysis (TDA) pipelines compute large collections of persistence diagrams, yet vectorizations and kernel methods discard the rank-induced implication relations among persistence intervals that are essential for…

Computational Geometry · Computer Science 2026-05-12 Charles Fanning , Mehmet Aktas

Portfolio diversification and active risk management are essential parts of financial analysis which became even more crucial (and questioned) during and after the years of the Global Financial Crisis. We propose a novel approach to…

Portfolio Management · Quantitative Finance 2013-10-08 Ladislav Kristoufek

We study how idiosyncratic firm-level shocks generate aggregate volatility and tail risk when they propagate through a production network under overlapping adjustment: new productivity draws arrive before the economy reaches the static…

Theoretical Economics · Economics 2026-03-06 Antoine Mandel , Vipin P. Veetil

Systemic risk arises as a multi-layer network phenomenon. Layers represent direct financial exposures of various types, including interbank liabilities, derivative- or foreign exchange exposures. Another network layer of systemic risk…

Risk Management · Quantitative Finance 2018-03-13 Anton Pichler , Sebastian Poledna , Stefan Thurner

We introduce and simulate a growth model of the world-wide Web based on the dynamics of outgoing links that is motivated by the conduct of the agents in the real Web to update outgoing links (re)directing them towards constantly changing…

Statistical Mechanics · Physics 2009-10-31 Bosiljka Tadic

We study the dynamic evolution of cross-correlations in the Chinese stock market mainly based on the random matrix theory (RMT). The correlation matrices constructed from the return series of 367 A-share stocks traded on the Shanghai Stock…

Statistical Finance · Quantitative Finance 2017-02-08 Fei Ren , Wei-Xing Zhou

Roughly speaking, clustering evolving networks aims at detecting structurally dense subgroups in networks that evolve over time. This implies that the subgroups we seek for also evolve, which results in many additional tasks compared to…

Social and Information Networks · Computer Science 2014-01-16 Tanja Hartmann , Andrea Kappes , Dorothea Wagner

This paper proposes a portfolio construction framework designed to remain robust under estimation error, non-stationarity, and realistic trading constraints. The methodology combines dynamic asset eligibility, deterministic rebalancing, and…

Optimization and Control · Mathematics 2026-01-12 Roberto Garrone

Large distributed multiagent systems are characterized by vast numbers of agents trying to gain access to limited resources in an unpredictable environment. Agents in these system continuously switch strategies in order to opportunistically…

adap-org · Physics 2008-02-03 Michael Youssefmir , Bernardo Huberman