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Many complex systems are characterized by intriguing spatio-temporal structures. Their mathematical description relies on the analysis of appropriate correlation functions. Functional integral techniques provide a unifying formalism that…

统计力学 · 物理学 2009-11-12 Uwe C. Tauber

We briefly review 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 agents…

统计金融 · 定量金融 2011-03-14 Victor M. Yakovenko

Traditional economic models typically treat private information, or signals, as generated from some underlying state. Recent work has explicated alternative models, where signals correspond to interpretations of available information. We…

计算机科学与博弈论 · 计算机科学 2012-02-20 Michael P. Wellman , Lu Hong , Scott E. Page

A thermodynamic approach to the description of economic systems and processes is developed. It is shown that there is a deep analogy between the parameters of thermodynamic and economic systems (markets); so each thermodynamic parameter can…

综合物理 · 物理学 2021-08-18 Sergey Rashkovskiy

An approach for the description of stochastic systems is derived. Some of the variables in the system are studied forward in time, others backward in time. The approach is based on a perturbation expansion in the strength of the coupling…

统计力学 · 物理学 2021-08-04 Piero Olla

We propose the consistent statistical approach to consider a wide class of classical open systems whose states are specified by a set of positive integers(occupation numbers).Such systems are often encountered in physics, chemistry,…

量子物理 · 物理学 2011-07-05 E. D. Vol

Physics and economics are two disciplines that share the common challenge of linking microscopic and macroscopic behaviors. However, while physics is based on collective dynamics, economics is based on individual choices. This conceptual…

物理与社会 · 物理学 2011-08-25 Sebastian Grauwin , Dominic Hunt , Eric Bertin , Pablo Jensen

This is a review article for Encyclopedia of Complexity and System Science, to be published by Springer http://refworks.springer.com/complexity/. The paper reviews statistical models for money, wealth, and income distributions developed in…

统计金融 · 定量金融 2023-06-06 Victor M. Yakovenko

We start with the idea that open quantum systems can be used to represent financial markets by modelling events from the external environment and their impact on the market price. We show how to characterize distinct orbits of the time…

数理金融 · 定量金融 2025-05-05 Will Hicks

An overview is given of recent advances in nonequilibrium statistical mechanics about the statistics of random paths and current fluctuations. Although statistics is carried out in space for equilibrium statistical mechanics, statistics is…

统计力学 · 物理学 2016-04-12 Pierre Gaspard

We consider nonequilibrium systems with complex dynamics in stationary states with large fluctuations of intensive quantities (e.g. the temperature, chemical potential, or energy dissipation) on long time scales. Depending on the…

统计力学 · 物理学 2009-11-07 C. Beck , E. G. D. Cohen

The statistical mechanics of Gibbs is a juxtaposition of subjective, probabilistic ideas on the one hand and objective, mechanical ideas on the other. In this paper, we follow the path set out by Jaynes, including elements added…

统计力学 · 物理学 2015-11-24 David M. Rogers , Thomas L. Beck , Susan B. Rempe

This is a short commentary piece that discusses how the methods used in the natural sciences can apply to economics in general and financial markets specifically.

综合金融 · 定量金融 2010-07-15 Austin Gerig

Socio-economic inequalities are manifested in different aspects of our social life. We discuss various aspects, beginning with the evolutionary and historical origins, and discussing the major issues from the social and economic point of…

物理与社会 · 物理学 2016-02-02 Arnab Chatterjee

The optimal (`equilibrium') macroscopic properties of an economy with $N$ industries endowed with different technologies, $P$ commodities and one consumer are derived in the limit $N\to\infty$ with $n=N/P$ fixed using the replica method.…

无序系统与神经网络 · 物理学 2008-12-02 A. De Martino , M. Marsili , I. Perez Castillo

Physical analogs have shown considerable promise for understanding the behavior of complex adaptive systems, including macroeconomics, biological systems, social networks, and electric power markets. Many of today's most challenging…

适应与自组织系统 · 物理学 2007-05-23 David P. Chassin , Joel Malard , Christian Posse

Econophysics provides a strategy for understanding the potential mechanisms underlying the anomalous distribution of wealth found in real societies. We present a computational nonlinear stochastic model for the distribution of wealth that…

统计力学 · 物理学 2009-11-10 Nicola Scafetta , Bruce J. West , Sergio Picozzi

We exploit a continuous time random walk description of stock prices to obtain a fast and accurate evaluation of their volatility from intraday data. We show that financial markets are usefully described as open physical systems. Indeed we…

其他凝聚态物理 · 物理学 2008-12-02 Rosario Bartiromo

A classical particle system coupled with a thermostat driven by an external constant force reaches its steady state when the ensemble-averaged drift velocity does not vary with time. The statistical mechanics of such a system is derived…

统计力学 · 物理学 2020-12-02 Jie Yao , Yanting Wang

We review an emerging body of work by physicists addressing questions of economic organization and function. We suggest that, beyond simply employing models familiar from physics to economic observables, remarkable regularities in economic…

物理与社会 · 物理学 2007-05-23 J. Doyne Farmer , Eric Smith , Martin Shubik