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Circulation is the characteristic feature of successful currency systems, from community currencies to cryptocurrencies to national currencies. In this paper, we propose a network analysis approach especially suited for studying circulation…

Physics and Society · Physics 2026-04-21 Carolina E S Mattsson , Teodoro Criscione , Frank W Takes

Money flow models are essential tools to understand different economical phenomena, like saving propensities and wealth distributions. In spite of their importance, most of them are based on synthetic transaction networks with simple…

General Finance · Quantitative Finance 2016-08-03 Massimiliano Zanin , David Papo , Miguel Romance , Regino Criado , Santiago Moral

Community currency networks are made up of individuals and or companies that share some physical or social characteristics and engage in economic transactions using a virtual currency. This paper investigates the structural and dynamic…

Computational Engineering, Finance, and Science · Computer Science 2025-07-04 Camilla Ancona , Dora Ricci , Carmela Bernardo , Francesco Lo Iudice , Anton Proskurnikov , Francesco Vasca

We analyze the time series of four major cryptocurrencies (Bitcoin, Ethereum, Litecoin, and Ripple) before the digital market crash at the end of 2017 - beginning 2018. We introduce a methodology that combines topological data analysis with…

Mathematical Finance · Quantitative Finance 2018-09-05 Marian Gidea , Daniel Goldsmith , Yuri Katz , Pablo Roldan , Yonah Shmalo

Community currencies (CCs) have been adopting innovative systems to overcome implementational hurdles from issuing paper currencies. Using a qualitative approach, this paper examined this digital transition of Sarafu Network in Kenya and…

Human-Computer Interaction · Computer Science 2026-03-31 Patricia Marcella Evite

Non-fungible tokens (NFTs) as a decentralized proof of ownership represent one of the main reasons why Ethereum is a disruptive technology. This paper presents the first systematic study of the interactions occurring in a number of NFT…

Social and Information Networks · Computer Science 2021-10-26 S. Casale-Brunet , P. Ribeca , P. Doyle , M. Mattavelli

Cryptographic tokens are a new digital paradigm that can facilitate the establishment of economic incentives in digital ecoystems. Tokens can be leveraged for the coordination, optimization and governance of large networks at scale in a…

Computers and Society · Computer Science 2023-03-20 Ricky Lamberty , Alexander Poddey , David Galindo , Danny de Waard , Tobias Koelbel , Daniel Kirste

Networks are versatile representations of the interactions between entities in complex systems. Cycles on such networks represent feedback processes which play a central role in system dynamics. In this work, we introduce a measure of the…

Social and Information Networks · Computer Science 2017-12-06 Pierre-Louis Giscard , Richard C. Wilson

The financial market is a complex dynamical system composed of a large variety of intricate relationships between several entities, such as banks, corporations and institutions. At the heart of the system lies the stock exchange mechanism,…

Many complex networks, ranging from social to biological systems, exhibit structural patterns consistent with an underlying hyperbolic geometry. Revealing the dimensionality of this latent space can disentangle the structural complexity of…

Historically studies of behaviour on networks have focused on the behaviour of individuals (node-based) or on the aggregate behaviour of the entire network. We propose a new method to decompose a temporal network into macroscale components…

Social and Information Networks · Computer Science 2018-08-16 Andrew Mellor

We develop a topology data analysis-based method to detect early signs for critical transitions in financial data. From the time-series of multiple stock prices, we build time-dependent correlation networks, which exhibit topological…

Mathematical Finance · Quantitative Finance 2017-01-24 Marian Gidea

This paper presents the first topological analysis of the economic structure of an entire country based on payments data obtained from Swedbank. This data set is exclusive in its kind because around 80% of Estonia's bank transactions are…

Physics and Society · Physics 2016-02-20 Stephanie Rendón de la Torre , Jaan Kalda , Robert Kitt , Jüri Engelbrecht

The study of time-varying (dynamic) networks (graphs) is of fundamental importance for computer network analytics. Several methods have been proposed to detect the effect of significant structural changes in a time series of graphs. The…

Social and Information Networks · Computer Science 2017-07-25 Peter Wills , Francois G. Meyer

Understanding the structure of communities in a network has a great importance in the economic analysis. Communities are indeed characterized by specific properties, that are different from those of both the individual node and the whole…

Physics and Society · Physics 2021-10-20 Paolo Bartesaghi , Stefano Benati , Gian Paolo Clemente , Rosanna Grassi

Economy, and consequently trade, is a fundamental part of human social organization which, until now, has not been studied within the network modelling framework. Networks are mathematical tools used in the modelling of a wide variety of…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Angeles Serrano , Marian Boguna

This paper examines Web3 ecosystems not merely as markets for digital assets, but as networked social spaces where economic transactions give rise to enduring social ties, shared narratives, and collective identities. Leveraging large-scale…

Social and Information Networks · Computer Science 2026-04-22 Valentina Kuskova , Dmitry Zaytsev

This paper defines the average holding period of money and proposes a methodology for fully disaggregated measurement. Our measure is shown to be the inverse of the transfer velocity of money under stationary conditions, which is implicitly…

General Economics · Economics 2025-03-19 Carolina E. S. Mattsson , Allison Luedtke , Frank W. Takes

Recurrence is a fundamental characteristic of dynamical systems with complicated behavior. Understanding the inner structure of recurrence is challenging, especially if the system has many degrees of freedom and is subject to noise. We…

Dynamical Systems · Mathematics 2024-12-16 Ulrich Bauer , David Hien , Oliver Junge , Konstantin Mischaikow

A main focus in economics research is understanding the time series of prices of goods and assets. While statistical models using only the properties of the time series itself have been successful in many aspects, we expect to gain a better…

Physics and Society · Physics 2014-12-15 Dániel Kondor , István Csabai , János Szüle , Márton Pósfai , Gábor Vattay
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