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Recent advances in the urban science make broad use of the notion of scaling. We focus here on the important scaling relationship between the gross metropolitan product (GMP) of a city and its population (pop). It has been demonstrated that…

Physics and Society · Physics 2016-09-28 Emanuele Strano , Vishal Sood

Systemic financial risk refers to the simultaneous failure or destabilization of multiple financial institutions, often triggered by contagion mechanisms or common exposures to shocks. In this paper, we present a dynamical model of bank…

Dynamical Systems · Mathematics 2026-03-31 Marco Ioffredi , Stefano Marmi , Matteo Tanzi

The stability of money value is an important requisite for a functioning economy, yet it critically depends on the actions of participants in the market themselves. Here we model the value of money as a dynamical variable that results from…

Statistical Mechanics · Physics 2009-11-07 Stefan Bornholdt , Friedrich Wagner

The cluster analysis methods are used in order to perform a comparative study of 15 EU countries in relation with the fluctuations of some basic macroeconomic indicators. The statistical distances between countries are calculated for…

General Finance · Quantitative Finance 2010-03-16 Mircea Gligor , Marcel Ausloos

We propose a new model for the joint evolution of the European inflation rate, the European Central Bank official interest rate and the short-term interest rate, in a stochastic, continuous time setting. We derive the valuation equation for…

Mathematical Finance · Quantitative Finance 2022-12-22 F. Antonacci , C. Costantini , F. D'Ippoliti , M. Papi

We use principle component analysis (PCA) of cross correlations in European government bonds and European stocks to investigate the systemic risk contained in the European economy. We tackle the task to visualize the evolution of risk,…

Statistical Finance · Quantitative Finance 2015-07-09 Jan Jurczyk , Alexander Eckrot

We consider Markov Decision Processes (MDPs) in which every stationary policy induces the same graph structure for the underlying Markov chain and further, the graph has the following property: if we replace each recurrent class by a node,…

Machine Learning · Computer Science 2021-03-10 Joseph Lubars , Anna Winnicki , Michael Livesay , R. Srikant

Using the secured transactions recorded within the Money Markets Statistical Reporting database of the European Central Bank, we test several stylized facts regarding interbank market of the 47 largest banks in the eurozone. We observe that…

General Economics · Economics 2024-10-22 Victor Le Coz , Nolwenn Allaire , Michael Benzaquen , Damien Challet

Most national economies are linked by international trade. Consequently, economic globalization forms a massive and complex economic network with strong links, that is, interactions arising from increasing trade. Various interesting…

Physics and Society · Physics 2020-02-03 Yuichi Ikeda

We describe the bailout of banks by governments as a Markov Decision Process (MDP) where the actions are equity investments. The underlying dynamics is derived from the network of financial institutions linked by mutual exposures, and the…

Mathematical Finance · Quantitative Finance 2022-12-27 Daniele Petrone , Neofytos Rodosthenous , Vito Latora

Can self-organization of scientific communication be specified by using literature-based indicators? In this study, we explore this question by applying entropy measures to typical "Mode-2" fields of knowledge production. We hypothesized…

Information Retrieval · Computer Science 2010-01-11 Gaston Heimeriks , Loet Leydesdorff , Peter Van den Besselaar

In this paper we extend the series of our studies on the properties of an interacting particle model for market microstructure. In our earlier work we defined a Markov process on the majority opinion of the agents, obtained the transition…

Probability · Mathematics 2008-12-02 Ted Theodosopoulos , Ming Yuen

Financial market is an example of complex system, which is characterized by a highly intricate organization and the emergence of collective behavior. In this paper, we quantify this emergent dynamics in the financial market by using…

General Finance · Quantitative Finance 2011-09-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

We derive Markovian master equations of single and interacting harmonic systems in different scenarios, including strong internal coupling. By comparing the dynamics resulting from the corresponding Markovian master equations with exact…

Quantum Physics · Physics 2010-11-18 Ángel Rivas , A. Douglas K. Plato , Susana F. Huelga , Martin B. Plenio

This paper develops a continuous functional framework for analyzing contagion dynamics in financial networks, extending the Navier-Stokes-based approach to network-structured spatial processes. We model financial distress propagation as a…

Econometrics · Economics 2025-10-28 Tatsuru Kikuchi

This paper investigates and compares currency substitution between the currencies of Central and Eastern European (CEE) countries and the euro. In addition, we develop a model with microeconomic foundations, which identifies difference…

General Finance · Quantitative Finance 2017-04-07 Claudiu Tiberiu Albulescu , Dominique Pépin , Stephen Miller

The 2008 financial crisis illustrated the need for a thorough, functional understanding of systemic risk in strongly interconnected financial structures. Dynamic processes on complex networks being intrinsically difficult, most recent…

General Finance · Quantitative Finance 2015-08-05 Matteo Smerlak , Brady Stoll , Agam Gupta , James S. Magdanz

The distribution of money is analysed in connection with the Boltzmann distribution of energy in the degenerate states of molecules. Plots of the population density of income distribution for various countries are well reproduced by a Gamma…

Statistical Mechanics · Physics 2009-11-10 Juan C. Ferrero

The real monetary economy is grounded upon monetary flow equilibration or the activity of actualizing monetary flow continuity at each economic agent except for the central bank. Every update of monetary flow continuity at each agent…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Koichiro Matsuno

This Chapter reviews statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the…

Statistical Finance · Quantitative Finance 2012-04-10 Victor M. Yakovenko