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This article is a follow-up of a short essay that appeared in Nature 455, 1181 (2008) [arXiv:0810.5306]. It has become increasingly clear that the erratic dynamics of markets is mostly endogenous and not due to the rational processing of…

综合金融 · 定量金融 2009-04-07 Jean-Philippe Bouchaud

In physics, I noticed subjects not explained by formulas were often not studied, like how uncontrolled growth systems changed form. Weather, businesses, societies, environments, communities, cultures, groups, relationships, lives, and…

物理与社会 · 物理学 2023-05-18 Jessie Henshaw

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

Complex evolving systems such as the biosphere, ecosystems and societies exhibit sudden collapses, for reasons that are only partially understood. Here we study this phenomenon using a mathematical model of a system that evolves under…

适应与自组织系统 · 物理学 2007-05-23 Ravi Mehrotra , Vikram Soni , Sanjay Jain

We examine the feasibility of predicting and subsequently managing the future evolution of a Complex Adaptive System. Our archetypal system mimics a competitive population of mechanical, biological, informational or human objects. We show…

无序系统与神经网络 · 物理学 2007-05-23 David M. D. Smith , Neil F. Johnson

A financial system contains many elements networked by their relationships. Extensive works show that topological structure of the network stores rich information on evolutionary behaviors of the system such as early warning signals of…

统计金融 · 定量金融 2018-05-09 Li Zhou , Lu Qiu , Changgui Gu , Huijie Yang

An explanation for the political processes leading to the sudden collapse of empires and states would be useful for understanding both historical and contemporary political events. We seek a general description of state collapse spanning…

物理与社会 · 物理学 2015-06-16 Daniel John Lawson , Neeraj Oak

The credit crisis roiling the world's financial markets will likely take years and entire careers to fully understand and analyze. A short empirical investigation of the current trends, however, demonstrates that the losses in certain…

统计金融 · 定量金融 2015-05-13 Reginald D. Smith

Ecosystems often undergo abrupt regime shifts in response to gradual external changes. These shifts are theoretically understood as a regime switch between alternative stable states of the ecosystem dynamical response to smooth changes in…

种群与进化 · 定量生物学 2015-02-18 Jose A. Capitan , Jose A. Cuesta

Global change is reshaping ecosystems and societies. Strategic choices that were best yesterday may be sub-optimal tomorrow; and environmental conditions that were once taken for granted may soon cease to exist. In this setting, how people…

种群与进化 · 定量生物学 2024-04-23 Andrew R. Tilman , Vítor V. Vasconcelos , Erol Akçay , Joshua B. Plotkin

We present an analytical model to study the role of expectation feedbacks and overlapping portfolios on systemic stability of financial systems. Building on [Corsi et al., 2016], we model a set of financial institutions having Value at Risk…

综合经济学 · 经济学 2018-07-23 Piero Mazzarisi , Fabrizio Lillo , Stefano Marmi

Catastrophes of all kinds can be roughly defined as short duration-large amplitude events following and followed by long periods of "ripening". Major earthquakes surely belong to the class of 'catastrophic' events. Because of the space-time…

数据分析、统计与概率 · 物理学 2015-06-04 Randall D. Peters , Martine Le Berre , Yves Pomeau

When complex systems are driven to extinction by some external factor, their non-stationary dynamics can present an intermittent behaviour between relative tranquility and burst of activity whose consequences are often catastrophic. To…

物理与社会 · 物理学 2018-03-21 Juan V Escobar , Isaac Pérez Castillo

We provide a comprehensive numerical study of the Emergent Cyclic Inflation scenario. This is a scenario where instead of traditional monotonic slow roll inflation, the universe expands over numerous short asymmetric cycles due to the…

宇宙学与河外天体物理 · 物理学 2015-06-16 William Duhe , Tirthabir Biswas

Abrupt shifts in ecosystems, brains, markets, and climate are often diagnosed as signs of approaching a tipping point, i.e. a critical bifurcation where stability is lost. Here we reveal a broader and more deceptive mechanism:…

混沌动力学 · 物理学 2025-10-06 Virgile Troude , Sandro Claudio Lera , Ke Wu , Didier Sornette

We propose a novel approach to generate chaotic business cycles in a deterministic setting. Rather than producing chaos endogenously, we consider aggregate economic models with limit cycles and equilibriums, subject them to chaotic…

混沌动力学 · 物理学 2015-09-04 Marat Akhmet , Zhanar Akhmetova , Mehmet Onur Fen

From some observations on economic behaviors, in particular changing economic conditions with time and space, we develop a very simple model for the evolution of economic entities within a geographical type of framework. We raise a few…

适应与自组织系统 · 物理学 2012-08-31 Marcel Ausloos , Paulette Clippe , Andrzej Pekalski

Investigation of the critical levels and catastrophes in the complex systems of different nature is useful and perspective. Mathematical modeling and analysis is presented for revealing and investigation of the phenomena and critical levels…

适应与自组织系统 · 物理学 2017-04-06 Ivan V. Kazachkov

This paper explores the mechanisms behind extreme financial events, specifically market crashes, by employing the theoretical framework of phase transitions. We focus on endogenous crashes, driven by internal market dynamics, and model…

数理金融 · 定量金融 2024-08-14 Revant Nayar , Minhajul Islam

Are large biological extinctions such as the Cretaceous/Tertiary KT boundary due to a meteorite, extreme volcanic activity or self-organized critical extinction cascades? Are commercial successes due to a progressive reputation cascade or…

物理与社会 · 物理学 2007-05-23 D. Sornette
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