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In this paper, we present a test for the maximal rank of the volatility process in continuous diffusion models observed with noise. Such models are typically applied in mathematical finance, where latent price processes are corrupted by…

统计理论 · 数学 2019-04-08 Tobias Fissler , Mark Podolskij

We study the effect of extrinsic noise in metabolic networks. We introduce external random fluctuations at the kinetic level, and show how these lead to a stochastic generalization of standard Metabolic Control Analysis. While Summation and…

亚细胞过程 · 定量生物学 2015-05-13 Andrea Rocco

Financial correlations play a central role in financial theory and also in many practical applications. From theoretical point of view, the key interest is in a proper description of the structure and dynamics of correlations. From…

统计力学 · 物理学 2009-11-10 Szilard Pafka , Imre Kondor

The amplitude of fluctuation-induced patterns might be expected to be proportional to the strength of the driving noise, suggesting that such patterns would be difficult to observe in nature. Here, we show that a large class of…

统计力学 · 物理学 2017-01-11 Tommaso Biancalani , Farshid Jafarpour , Nigel Goldenfeld

The dynamics of a stock market with heterogeneous agents is discussed in the framework of a recently proposed spin model for the emergence of bubbles and crashes. We relate the log returns of stock prices to magnetization in the model and…

统计力学 · 物理学 2009-11-07 Taisei Kaizoji , Stefan Bornholdt , Yoshi Fujiwara

Financial markets are subject to long periods of polarized behavior, such as bull-market or bear-market phases, in which the vast majority of market participants seem to almost exclusively choose one action (between buying or selling) over…

物理与社会 · 物理学 2007-05-23 Sitabhra Sinha , Srinivas Raghavendra

This work investigates the effects of complex networks on the collective behavior of a three-state opinion formation model in economic systems. Our model considers two distinct types of investors in financial markets: noise traders and…

We present a model of financial markets originally proposed for a turbulent flow, as a dynamic basis of its intermittent behavior. Time evolution of the price change is assumed to be described by Brownian motion in a power-law potential,…

统计力学 · 物理学 2009-11-07 Naoki Kozuki , Nobuko Fuchikami

We study the behavior of simple models for financial markets with widely spread frequency either in the trading activity of agents or in the occurrence of basic events. The generic picture of a phase transition between information efficient…

统计力学 · 物理学 2009-11-07 Matteo Marsili , Maurizio Piai

Systemic risk in banking systems remains a crucial issue that it has not been completely understood. In our toy model, banks are exposed to two sources of risks, namely, market risk from their investments in assets external to the banking…

风险管理 · 定量金融 2017-02-24 Aki-Hiro Sato , Paolo Tasca , Takashi Isogai

Using recent advances in the econometrics literature, we disentangle from high frequency observations on the transaction prices of a large sample of NYSE stocks a fundamental component and a microstructure noise component. We then relate…

应用统计 · 统计学 2009-06-11 Yacine Aït-Sahalia , Jialin Yu

In the present work we introduce a novel multi-agent model with the aim to reproduce the dynamics of a double auction market at microscopic time scale through a faithful simulation of the matching mechanics in the limit order book. The…

交易与市场微观结构 · 定量金融 2015-05-18 Marco Bartolozzi

Thanks to the access to labeled orders on the Cac40 index future provided by Euronext, we are able to quantify market participants contributions to the volatility in the diffusive limit. To achieve this result we leverage the branching…

交易与市场微观结构 · 定量金融 2018-07-19 Marcello Rambaldi , Emmanuel Bacry , Jean-François Muzy

The fluctuations in nonequilibrium systems are under intense theoretical and experimental investigation. Topical ``fluctuation relations'' describe symmetries of the statistical properties of certain observables, in a variety of models and…

统计力学 · 物理学 2011-09-08 Lamberto Rondoni , Carlos Mejia-Monasterio

Neural circuits exhibit complex activity patterns, both spontaneously and evoked by external stimuli. Information encoding and learning in neural circuits depend on how well time-varying stimuli can control spontaneous network activity. We…

神经元与认知 · 定量生物学 2023-01-11 Rainer Engelken , Alessandro Ingrosso , Ramin Khajeh , Sven Goedeke , L. F. Abbott

We study a generic model for self-referential behaviour in financial markets, where agents attempt to use some (possibly fictitious) causal correlations between a certain quantitative information and the price itself. This correlation is…

凝聚态物理 · 物理学 2007-05-23 Matthieu Wyart , Jean-Philippe Bouchaud

Traffic flow oscillations, including traffic waves, are a common yet incompletely understood feature of congested traffic. Possible mechanisms include traffic flow instabilities, indifference regions or finite human perception thresholds…

物理与社会 · 物理学 2017-08-24 Martin Treiber , Arne Kesting

We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

概率论 · 数学 2025-06-24 Manuel González-Navarrete

The profitability of various investment styles in investment funds depends on macroeconomic conditions. Market ecology, which views financial markets as ecosystems of diverse, interacting and evolving trading strategies, has shown that…

多智能体系统 · 计算机科学 2022-10-26 Aymeric Vie , Maarten Scholl , Alissa M. Kleinnijenhuis , J. Doyne Farmer

We study the relation between stock price changes and the difference in the number of sell and buy orders. Using a soft spin model, we describe the price impact of order imbalances and find an analogy to the fluctuation-dissipation theorem…

凝聚态物理 · 物理学 2009-11-07 Bernd Rosenow
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