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We investigate the behavior of limit order books on the meso-scale motivated by order execution scheduling algorithms. To do so we carry out empirical analysis of the order flows from market and limit order submissions, aggregated from…

Trading and Market Microstructure · Quantitative Finance 2017-08-10 Kyle Bechler , Michael Ludkovski

Viscous flows through configurations manufactured from soft materials apply both pressure and shear stress at the solid-liquid interface, leading to deformation of the cross-section, which affects the flow rate-pressure drop relation.…

Fluid Dynamics · Physics 2022-09-29 Evgeniy Boyko , Howard A. Stone , Ivan C. Christov

Predicting the flow of non-Newtonian fluids in porous structure is still a challenging issue due to the interplay betwen the microscopic disorder and the non-linear rheology. In this letter, we study the case of an yield stress fluid in a…

Soft Condensed Matter · Physics 2019-06-26 Chen Liu , Andrea De Luca , Alberto Rosso , Laurent Talon

Lead/lag relationships are an important stylized fact at high frequency. Some assets follow the path of others with a small time lag. We provide indicators to measure this phenomenon using tick-by-tick data. Strongly asymmetric…

Trading and Market Microstructure · Quantitative Finance 2012-01-19 Nicolas Huth , Frédéric Abergel

The crisis that affected financial markets in the last years leaded market practitioners to revise well known basic concepts like the ones of discount factors and forward rates. A single yield curve is not sufficient any longer to describe…

Pricing of Securities · Quantitative Finance 2010-06-25 Andrea Pallavicini , Marco Tarenghi

We study the cause of large fluctuations in prices in the London Stock Exchange. This is done at the microscopic level of individual events, where an event is the placement or cancellation of an order to buy or sell. We show that price…

Other Condensed Matter · Physics 2008-12-02 J. Doyne Farmer , Laszlo Gillemot , Fabrizio Lillo , Szabolcs Mike , Anindya Sen

Statistical properties of an order book and the effect they have on price dynamics were studied using the high-frequency NASDAQ Level II data. It was observed that the size distribution of marketable orders (transaction sizes) has power law…

Statistical Mechanics · Physics 2009-11-07 Sergei Maslov , Mark Mills

Prices in financial markets exhibit extreme jumps far more often than can be accounted for by external news. Further, magnitudes of price changes are correlated over long times. These so called stylized facts are quantified by scaling laws…

Trading and Market Microstructure · Quantitative Finance 2016-05-04 Felix Patzelt , Klaus Pawelzik

It is a challenging task to identify the best possible models based on given empirical data of observed time series. Though the financial markets provide us with a vast amount of empirical data, the best model selection is still a big…

Statistical Finance · Quantitative Finance 2021-11-05 Vygintas Gontis

This paper proposes a novel model of financial prices where: (i) prices are discrete; (ii) prices change in continuous time; (iii) a high proportion of price changes are reversed in a fraction of a second. Our model is analytically…

Trading and Market Microstructure · Quantitative Finance 2024-06-21 Neil Shephard , Justin J. Yang

A minimal athermal model for the flow of dense disordered materials is proposed, based on two generic ingredients: local plastic events occuring above a microscopic yield stress, and the non-local elastic release of the stress these events…

Soft Condensed Matter · Physics 2009-11-10 Guillemette Picard , Armand Ajdari , Francois Lequeux , Lyderic Bocquet

We study convexity and monotonicity properties for prices of bonds and bond options when the short rate is modeled by a diffusion process. We provide conditions under which convexity of the price in the short rate is guaranteed. Under these…

Analysis of PDEs · Mathematics 2008-12-10 Erik Ekstrom , Johan Tysk

The Reynolds stress, or equivalently the average of the momentum flux, is key to understanding the statistical properties of turbulent flows. Both typical and rare fluctuations of the time averaged momentum flux are needed to fully…

Fluid Dynamics · Physics 2018-02-12 Freddy Bouchet , J. B. Marston , T. Tangarife

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,…

Statistical Mechanics · Physics 2009-11-07 Naoki Kozuki , Nobuko Fuchikami

In the information-based approach to asset pricing the market filtration is modelled explicitly as a superposition of signals concerning relevant market factors and independent noise. The rate at which the signal is revealed to the market…

Pricing of Securities · Quantitative Finance 2010-09-21 Dorje C. Brody , Yan Tai Law

We formulate a forward inflation index model with multi-factor volatility structure featuring a parametric form that allows calibration to correlations between indices of different tenors observed in the market. Assuming the nominal…

Mathematical Finance · Quantitative Finance 2024-05-09 Orcan Ogetbil , Bernhard Hientzsch

Complex fluids subjected to localized microscopic energy inputs, typical of active microrheology setups, exhibit poorly understood nonequilibrium behaviors because of the intricate self-organization of their mesoscopic constituents. In this…

Statistical Mechanics · Physics 2025-12-15 Danilo Forastiere , Emanuele Locatelli , Gianmaria Falasco , Enzo Orlandini , Marco Baiesi

This research presents a comprehensive framework for analyzing liquidity in financial markets, particularly in the context of high-frequency trading. By leveraging advanced machine learning classification techniques, including Logistic…

Trading and Market Microstructure · Quantitative Finance 2024-08-20 Sid Bhatia , Sidharth Peri , Sam Friedman , Michelle Malen

Trading a financial asset pushes its price as well as the prices of other assets, a phenomenon known as cross-impact. We consider a general class of kernel-based cross-impact models and investigate suitable parameterisations for trading…

Trading and Market Microstructure · Quantitative Finance 2021-07-20 Mathieu Rosenbaum , Mehdi Tomas

Modelling accurately financial price variations is an essential step underlying portfolio allocation optimization, derivative pricing and hedging, fund management and trading. The observed complex price fluctuations guide and constraint our…

Statistical Mechanics · Physics 2009-10-30 A. Arneodo , J. -F. Muzy , D. Sornette
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