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We define a financial bubble as a period of unsustainable growth, when the price of an asset increases ever more quickly, in a series of accelerating phases of corrections and rebounds. More technically, during a bubble phase, the price…

风险管理 · 定量金融 2014-04-09 Didier Sornette , Peter Cauwels

Financial markets are a typical example of complex systems where interactions between constituents lead to many remarkable features. Here, we show that a pairwise maximum entropy model (or auto-logistic model) is able to describe switches…

统计金融 · 定量金融 2014-01-28 Thomas Bury

The understanding of complex systems has become a central issue because complex systems exist in a wide range of scientific disciplines. Time series are typical experimental results we have about complex systems. In the analysis of such…

As a typical representation of complex networks studied relatively thoroughly, financial market presents some special details, such as its nonconservation and opinions spreading. In this model, agents congregate to form some clusters, which…

其他凝聚态物理 · 物理学 2007-05-23 Jie Wang , Chun-Xia Yang , Pei-Ling Zhou , Ying-Di Jin , Tao Zhou , Bing-Hong Wang

In recent years, cryptocurrencies have attracted growing attention from both private investors and institutions. Among them, Bitcoin stands out for its impressive volatility and widespread influence. This paper explores the predictability…

统计金融 · 定量金融 2025-04-29 Grégory Bournassenko

Many complex systems exhibit extreme events far more often than expected for a normal distribution. This work examines how self-similar bursts of activity across several orders of magnitude can emerge from first principles in systems that…

物理与社会 · 物理学 2015-11-13 Felix Patzelt

The possibility that the collective dynamics of a set of stocks could lead to a specific basket violating the efficient market hypothesis is investigated. Precisely, we show that it is systematically possible to form a basket with a…

交易与市场微观结构 · 定量金融 2010-06-29 Frédéric Abergel , Mauro Politi

We study the most famous example of a large financial market: the Arbitrage Pricing Model, where investors can trade in a one-period setting with countably many assets admitting a factor structure. We consider the problem of maximising…

投资组合管理 · 定量金融 2020-10-06 Laurence Carassus , Miklos Rasonyi

We introduce a minimal Agent Based Model for financial markets to understand the nature and Self-Organization of the Stylized Facts. The model is minimal in the sense that we try to identify the essential ingredients to reproduce the main…

交易与市场微观结构 · 定量金融 2009-11-13 V. Alfi , M. Cristelli , L. Pietronero , A. Zaccaria

Biondi et al. (2012) develop an analytical model to examine the emergent dynamic properties of share market price formation over time, capable to capture important stylized facts. These latter properties prove to be sensitive to regulatory…

综合金融 · 定量金融 2021-09-27 Yuri Biondi , Simone Righi

In this article, we discuss the ubiquity of Big Data and machine learning in society and propose that it evinces the need of further investigation of their fundamental limitations. We extend the ``too much information tends to behave like…

The price-bubble and crash process formation is theoretically investigated in a two-asset equilibrium model. Sufficient and necessary conditions are derived for the existence of average equilibrium price dynamics of different agent-based…

交易与市场微观结构 · 定量金融 2024-09-06 Francesco Cordoni

We present a financial market model, characterized by self-organized criticality, that is able to generate endogenously a realistic price dynamics and to reproduce well-known stylized facts. We consider a community of heterogeneous traders,…

统计金融 · 定量金融 2015-11-04 A. E. Biondo , A. Pluchino , A. Rapisarda

Large variations in stock prices happen with sufficient frequency to raise doubts about existing models, which all fail to account for non-Gaussian statistics. We construct simple models of a stock market, and argue that the large…

凝聚态物理 · 物理学 2015-06-25 P. Bak , M. Paczuski , M. Shubik

Atoms and molecules are important conceptual entities we invented to understand the physical world around us. The key to their usefulness lies in the organization of nuclear and electronic degrees of freedom into a single dynamical variable…

综合金融 · 定量金融 2009-03-13 Yik Wen Goo , Tong Wei Lian , Wei Guang Ong , Wen Ting Choi , Siew-Ann Cheong

Before the massive spread of computer technology, information was far from complex. The development of technology shifted the paradigm: from individuals who faced scarce and costly information to individuals who face massive amounts of…

统计金融 · 定量金融 2020-10-26 Giuseppe Pernagallo , Benedetto Torrisi

In this paper we provide a comprehensive analysis of a structural model for the dynamics of prices of assets traded in a market originally proposed in [1]. The model takes the form of an interacting generalization of the geometric Brownian…

统计金融 · 定量金融 2018-06-06 Kartik Anand , Jonathan Khedair , Reimer Kuehn

Markets have internal dynamics leading to excess volatility and other phenomena that are difficult to explain using rational expectations models. This paper studies these using a nonequilibrium price formation rule, developed in the context…

adap-org · 物理学 2015-06-30 J. Doyne Farmer

Recent developments in the global liberalization of equity and currency markets, coupled to advances in trading technologies, are making markets increasingly interdependent. This increased fluidity raises questions about the stability of…

adap-org · 物理学 2019-08-15 Tad Hogg , Bernardo A. Huberman , Michael Youssefmir

The analysis of financial markets using models inspired by statistical physics offers a fruitful approach to understand collective and extreme phenomena [3, 14, 15] In this paper, we present a study based on a 2D Ising network model where…

统计金融 · 定量金融 2025-12-23 Hernán Ezequiel Benítez , Claudio Oscar Dorso