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We assume that the energy spectrum of a chaotic system undergoing symmetry breaking transitions can be represented as a superposition of independent level sequences, one increasing on the expense of the others. The relation between the…

Statistical Mechanics · Physics 2007-05-23 A. Y. Abul-Magd , M. H. Simbel

The trade size $\omega$ has direct impact on the price formation of the stock traded. Econophysical analyses of transaction data for the US and Australian stock markets have uncovered market-specific scaling laws, where a master curve of…

Trading and Market Microstructure · Quantitative Finance 2012-10-08 Wei-Xing Zhou

Complex interactions leading to phase transitions continue to hold a due interest in the scientific community. We charactersize a phase transition in a coupled oscillators model where interactions are not local in nature. At a first order…

Adaptation and Self-Organizing Systems · Physics 2025-08-26 Ayushi suman , Sarika Jalan

We investigate the parity- and time-reversal ($\mathcal{PT}$)-symmetry breaking in lattice models in the presence of long-ranged, non-hermitian, $\mathcal{PT}$-symmetric potentials that remain finite or become divergent in the continuum…

Quantum Physics · Physics 2014-09-19 Yogesh N. Joglekar , Derek D. Scott , Avadh Saxena

The study of order volumes in financial markets has shown that these display several non-trivial statistical properties. Most studies have been focused on the bulk properties of volume of incoming orders or of realized transactions rather…

Statistical Finance · Quantitative Finance 2023-05-22 Roberto Mota Navarro , Francois Leyvraz , Hernán Larralde

Employing a recent technique which allows the representation of nonstationary data by means of a juxtaposition of locally stationary patches of different length, we introduce a comprehensive analysis of the key observables in a financial…

Statistical Finance · Quantitative Finance 2013-05-03 Sabrina Camargo , Silvio M. Duarte Queiros , Celia Anteneodo

We present a numerical study of a two-lane version of the stochastic non-equilibrium model known as the totally asymmetric simple exclusion process. For such a system with open boundaries, and suitably chosen values of externally-imposed…

Statistical Mechanics · Physics 2019-07-31 S. L. A. de Queiroz , R. B. Stinchcombe

A new approach to obtaining market--directional information, based on a non-stationary solution to the dynamic equation "future price tends to the value that maximizes the number of shares traded per unit time" [1] is presented. In our…

Trading and Market Microstructure · Quantitative Finance 2019-05-03 Vladislav Gennadievich Malyshkin

We confirm and substantially extend the recent empirical result of Andersen et al. \cite{Andersen2015}, where it is shown that the amount of risk $W$ exchanged in the E-mini S\&P futures market (i.e. price times volume times volatility)…

Trading and Market Microstructure · Quantitative Finance 2016-09-22 Michael Benzaquen , Jonathan Donier , Jean-Philippe Bouchaud

We examine the out-of-equilibrium phase reported by Plerou {\it et. al.} in Nature, {\bf 421}, 130 (2003) using the data of the New York stock market (NYSE) between the years 2001 --2002. We find that the observed two phase phenomenon is an…

Physics and Society · Physics 2008-12-02 Kaushik Matia , Kazuko Yamasaki

We show that financial correlations exhibit a non-trivial dynamic behavior. We introduce a simple phenomenological model of a multi-asset financial market, which takes into account the impact of portfolio investment on price dynamics. This…

Physics and Society · Physics 2009-11-11 Giacomo Raffaelli , Matteo Marsili

We develop a theoretical framework that aims to link micro-level option hedging and stock-specific factor exposure with macro-level market turbulence and explain endogenous volatility amplification during gamma-squeeze events. By explicitly…

Trading and Market Microstructure · Quantitative Finance 2025-12-01 Haoying Dai

Investigations of inverse statistics (a concept borrowed from turbulence) in stock markets, exemplified with filtered Dow Jones Industrial Average, S&P 500, and NASDAQ, have uncovered a novel stylized fact that the distribution of exit time…

Other Condensed Matter · Physics 2008-12-02 Wei-Xing Zhou , Wei-Kang Yuan

The dynamics of a symmetry breaking phase transition is studied in a radiation and matter dominated spatially flat FRW cosmology in the large N limit of a scalar field theory.The quantum density matrix is evolved from an initial state of…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Boyanovsky , H. J. de Vega

Spontaneous symmetry breaking is well understood under equilibrium conditions as a consequence of the singularity of the thermodynamic limit. How a single global orientation of the order parameter dynamically emerges from an initially…

Quantum Physics · Physics 2022-10-12 Jasper van Wezel

In this brief report we adress spontaneous symmetry breaking in a finite-temperature scalar meson plasma. We calculate the in-medium averaged thermal $\sigma-\sigma$ scattering crossection and the related shear viscosity $\eta(T)$ and…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. M. C. Witte

We study the temporal fluctuations in time-dependent stock prices (both individual and composite) as a stochastic phenomenon using general techniques and methods of nonequilibrium statistical mechanics. In particular, we analyze stock price…

Physics and Society · Physics 2008-12-02 M. Constantin , S. Das Sarma

Scale free dynamics are observed in a variety of physical and biological systems. These include neural activity in which evidence for scale freeness has been reported using a range of imaging modalities. Here, we derive the ways in which…

The value of stocks, indices and other assets, are examples of stochastic processes with unpredictable dynamics. In this paper, we discuss asymmetries in short term price movements that can not be associated with a long term positive trend.…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Ingve Simonsen , Peter Toke Heden Ahlgren , Mogens H. Jensen , Raul Donangelo , Kim Sneppen

We present an example where Spontaneous Symmetry Breaking may effect not only the behavior of the entanglement at Quantum Phase Transitions, but also the origin of the non-analyticity. In particular, in the XXZ model, we study the non…

Quantum Physics · Physics 2014-08-26 L. Justino , Thiago R. de Oliveira