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The phase transitions and critical properties of two types of inhomogeneous systems are reviewed. In one case, the local critical behaviour results from the particular shape of the system. Here scale-invariant forms like wedges or cones are…

Statistical Mechanics · Physics 2009-10-22 F. Iglói , I. Peschel , L. Turban

We present Monte Carlo simulations on a lattice system that displays a first order phase transition between a disordered phase (liquid) and an ordered phase (crystal). The model is augmented by an interaction that simulates the effect of…

Statistical Mechanics · Physics 2007-05-23 Alessandro Attanasi , Andrea Cavagna , Jose' Lorenzana

Systems that exhibit complex behaviours are often found in a particular dynamical condition, poised between order and disorder. This observation is at the core of the so-called criticality hypothesis, which states that systems in a…

Adaptation and Self-Organizing Systems · Physics 2016-09-19 Andrea Roli , Marco Villani , Alessandro Filisetti , Roberto Serra

We propose a new model for the level I of a Limit Order Book (LOB), which incorporates the information about the standing orders at the opposite side of the book after each price change and the arrivals of new orders within the spread. Our…

Trading and Market Microstructure · Quantitative Finance 2016-03-15 Jonathan A. Chávez-Casillas , José E. Figueroa-López

Prediction markets rely on liquidity to convert trades into informative prices, yet existing mechanisms fix liquidity ex ante. This restriction enforces a static trade-off between price responsiveness and worst-case loss despite inherently…

Computer Science and Game Theory · Computer Science 2026-05-12 Enrique Nueve , Bao Nguyen , Rafael Frongillo , Bo Waggoner

A short-time dynamic approach to weak first order phase transitions is proposed. Taking the 2-dimensional Potts models as examples, from short-time behaviour of non-equilibrium relaxational processes starting from high temperature and zero…

Soft Condensed Matter · Physics 2008-12-18 L. Schuelke , B. Zheng

Commonly used limit order book attributes are empirically considered based on NASDAQ ITCH data. It is shown that some of them have the properties drastically different from the ones assumed in many market dynamics study. Because of this…

Trading and Market Microstructure · Quantitative Finance 2016-03-31 Vladislav Gennadievich Malyshkin , Ray Bakhramov

Feedback loops are essential for regulating cell proliferation and maintaining the delicate balance between cell division and cell death. Thanks to the exact solution of a few simple models of cell growth it is by now clear that stochastic…

Populations and Evolution · Quantitative Biology 2023-03-07 Antonio Francesco Zirattu , Marta Biondo , Matteo Osella , Michele Caselle

We propose a simple framework to understand commonly observed crisis waves in macroeconomic Agent Based models, that is also relevant to a variety of other physical or biological situations where synchronization occurs. We compute exactly…

Statistical Mechanics · Physics 2015-03-03 Stanislao Gualdi , Jean-Philippe Bouchaud , Giulia Cencetti , Marco Tarzia , Francesco Zamponi

We present a general framework for modelling the dynamics of limit order books, built on the combination of two modelling ingredients: the order flow, modelled as a general spatial point process, and market clearing, modelled via a…

Mathematical Finance · Quantitative Finance 2023-02-03 Rama Cont , Pierre Degond , Lifan Xuan

Many dynamical systems operate in a fluctuating environment. However, even in low-dimensional setups, transitions and bifurcations have not yet been fully understood. In this Letter we focus on crises, a sudden flooding of the phase space…

Adaptation and Self-Organizing Systems · Physics 2025-03-18 Simona Olmi , Antonio Politi

Many commonly used liquidity measures are based on snapshots of the state of the limit order book (LOB) and can thus only provide information about instantaneous liquidity, and not regarding the local liquidity regime. However, trading in…

Statistical Finance · Quantitative Finance 2014-06-23 Efstathios Panayi , Gareth Peters

We introduce an event based framework of directional changes and overshoots to map continuous financial data into the so-called Intrinsic Network - a state based discretisation of intrinsically dissected time series. Defining a method for…

Trading and Market Microstructure · Quantitative Finance 2014-02-11 Anton Golub , Gregor Chliamovitch , Alexandre Dupuis , Bastien Chopard

Business cycles tend to comove across countries. However, standard models that attribute comovement to propagation of exogenous shocks struggle to generate a level of comovement that is as high as in the data. In this paper, we consider…

General Economics · Economics 2024-09-13 Marco Pangallo

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…

Physics and Society · Physics 2007-05-23 D. Sornette

We propose a limit order book (LOB) model with dynamics that account for both the impact of the most recent order and the shape of the LOB. We present an empirical analysis showing that the type of the last order significantly alters the…

Trading and Market Microstructure · Quantitative Finance 2017-10-31 Federico Gonzalez , Mark Schervish

We propose a modeling framework for the dynamics of a reduced form order book in event time and based on event sizes. Our framework for the order book is influenced by [9], but compared to [9] we allow the best bid ask spread to be larger…

Probability · Mathematics 2014-02-21 Kaj Nyström , Sidi Mohamed Ould Aly

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,…

Statistical Finance · Quantitative Finance 2015-11-04 A. E. Biondo , A. Pluchino , A. Rapisarda

This paper studies a stylized model of local interaction where agents choose from an ever increasing set of vertically ranked actions, e.g. technologies. The driving forces of the model are infrequent upward shifts (``updates''), followed…

Statistical Mechanics · Physics 2007-05-23 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

Modeling the impact of the order flow on asset prices is of primary importance to understand the behavior of financial markets. Part I of this paper reported the remarkable improvements in the description of the price dynamics which can be…

Trading and Market Microstructure · Quantitative Finance 2016-04-27 Damian Eduardo Taranto , Giacomo Bormetti , Jean-Philippe Bouchaud , Fabrizio Lillo , Bence Toth