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The statistical properties of a stochastic process may be described (1)by the expectation values of the observables, (2)by the probability distribution functions or (3)by probability measures on path space. Here an analysis of level (3) is…

Statistical Mechanics · Physics 2008-12-02 R. Vilela Mendes , R. Lima , T. Araujo

The objective of this work is the investigation of complexity, asymmetry, stochasticity and non-linearity of the financial and economic systems by using the tools of statistical mechanics and information theory. More precisely, this thesis…

Statistical Finance · Quantitative Finance 2024-08-30 Rubina Zadourian

Many problems in industry --- and in the social, natural, information, and medical sciences --- involve discrete data and benefit from approaches from subjects such as network science, information theory, optimization, probability, and…

Social and Information Networks · Computer Science 2018-08-08 Mason A. Porter , Sam D. Howison

Understanding and potentially predicting or even controlling urban labour markets represents a great challenge for workers and policy makers alike. Cities are effective engines of economic growth and prosperity and incubate complex dynamics…

Physics and Society · Physics 2022-02-28 Xiangnan Feng , Alex Rutherford

Mathematical method based on a direct or indirect analysis of growth rates is described. It is shown how simple assumptions and a relatively easy analysis can be used to describe mathematically complicated trends and to predict growth. Only…

General Finance · Quantitative Finance 2017-06-27 Ron W. Nielsen

A common assumption of political economy is that profit rates across firms or sectors tend to uniformity, and often models are formulated in which this tendency is assumed to have been realised. But in reality this tendency is never…

Other Condensed Matter · Physics 2011-03-24 Ian Wright

Interbank contagion can theoretically exacerbate losses in a financial system and lead to additional cascade defaults during downturn. In this paper we produce default analysis using both regression and neural network models to verify…

Risk Management · Quantitative Finance 2020-05-29 Riccardo Doyle

Modelling of contagion in interbank networks is discussed. A model taking into account bow-tie structure and dissasortativity of interbank networks is developed. The model is shown to provide a good quantitative description of the Russian…

Physics and Society · Physics 2014-10-02 A. V. Leonidov , E. L. Rumyantsev

A non-local model describing the growth of a tree-like transportation network with given allocation rules is proposed. In this model we focus on tree like networks, and the network transports the very resource it needs to build itself. Some…

Adaptation and Self-Organizing Systems · Physics 2019-07-24 Olivier Bui , Xavier Leoncini

The expansion of global production networks has raised many important questions about the interdependence among countries and how future changes in the world economy are likely to affect the countries' positioning in global value chains. We…

General Economics · Economics 2020-05-20 Olivera Kostoska , Viktor Stojkoski , Ljupco Kocarev

Recent works suggest that pooling and sharing may constitute a fundamental mechanism for the evolution of cooperation in well-mixed fluctuating environments. The rationale is that, by reducing the amplitude of fluctuations, pooling and…

Adaptation and Self-Organizing Systems · Physics 2019-07-03 Viktor Stojkoski , Zoran Utkovski , Lasko Basnarkov , Ljupco Kocarev

We have developed a probabilistic forecasting methodology through a synthesis of belief network models and classical time-series analysis. We present the dynamic network model (DNM) and describe methods for constructing, refining, and…

Artificial Intelligence · Computer Science 2013-03-25 Paul Dagum , Adam Galper , Eric J. Horvitz

Ecological networks such as plant-pollinator systems and food webs vary in space and time. This variability includes fluctuations in global network properties such as total number and intensity of interactions but also in the local…

Quantitative Methods · Quantitative Biology 2022-12-23 Tancredi Caruso , Giulio Virginio Clemente , Matthias C Rillig , Diego Garlaschelli

The combination of the network theoretic approach with recently available abundant economic data leads to the development of novel analytic and computational tools for modelling and forecasting key economic indicators. The main idea is to…

General Finance · Quantitative Finance 2014-03-05 Andreas Joseph , Irena Vodenska , Eugene Stanley , Guanrong Chen

This is a review about financial dependencies which merges efforts in econophysics and financial economics during the last few years. We focus on the most relevant contributions to the analysis of asset markets' dependencies, especially…

Statistical Finance · Quantitative Finance 2023-02-17 M. Raddant , T. Di Matteo

A model is presented of the market dynamics to emphasis the effects of increasing returns to scale, including the description of the born and death of the adaptive producers. The evolution of market structure and its behavior with the…

Statistical Mechanics · Physics 2008-12-02 Ying Fan , Menghui Li , Zengru Di

We consider a general class of Markovian models describing the growth in a randomly fluctuating environment of a clonal biological population having several phenotypes related by stochastic switching. Phenotypes differ e.g. by the level of…

Populations and Evolution · Quantitative Biology 2022-01-25 J. Unterberger

A global quantity, regardless of its precise nature, will often fluctuate according to a Gaussian limit distribution. However, in highly correlated systems, other limit distributions are possible. We have previously calculated one such…

Statistical Mechanics · Physics 2009-11-07 Steven. T. Bramwell , Tom Fennell , Peter C. W. Holdsworth , Baptiste Portelli

Biological machines like molecular motors and enzymes operate in dynamic cycles representable as stochastic flows on networks. Current stochastic dynamics describes such flows on fixed networks. Here, we develop a scalable approach to…

Statistical Mechanics · Physics 2026-03-02 Ying-Jen Yang , Ken A. Dill

Predicting company growth is a critical yet challenging task because observed dynamics blend an underlying structural growth trend with volatile fluctuations. Here, we propose a Scaling-Theory-Informed Machine Learning (STIML) framework…

Computational Engineering, Finance, and Science · Computer Science 2026-02-17 Ruyi Tao , Veronica R. Cappelli , Kaiwei Liu , Marcus J. Hamilton , Christopher P. Kempes , Geoffrey B. Wes , Jiang Zhang