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Related papers: Queue-reactive Hawkes models for the order flow

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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…

Trading and Market Microstructure · Quantitative Finance 2015-05-18 Marco Bartolozzi

In this paper, we introduce a suite of models for price-aware automated market making platforms willing to optimize their quotes. These models incorporate advanced price dynamics, including stochastic volatility, jumps, and microstructural…

Trading and Market Microstructure · Quantitative Finance 2024-05-21 Philippe Bergault , Louis Bertucci , David Bouba , Olivier Guéant , Julien Guilbert

Rough volatility is a well-established statistical stylised fact of financial assets. This property has lead to the design and analysis of various new rough stochastic volatility models. However, most of these developments have been carried…

Mathematical Finance · Quantitative Finance 2019-10-31 Mehdi Tomas , Mathieu Rosenbaum

We introduce the Hyperedge-triggered Hawkes (HTH) process for inferring higher-order interaction structure in multi-cellular systems from asynchronous event-time data. Beyond standard pairwise excitation, the HTH intensity includes a term…

Methodology · Statistics 2026-05-27 Zihan Xu

We introduce a new model in order to describe the fluctuation of tick-by-tick financial time series. Our model, based on marked point process, allows us to incorporate in a unique process the duration of the transaction and the…

Trading and Market Microstructure · Quantitative Finance 2012-11-21 Alexis Fauth , Ciprian A. Tudor

Price changes are induced by aggressive market orders in stock market. We introduce a bivariate marked Hawkes process to model aggressive market order arrivals at the microstructural level. The order arrival intensity is marked by an…

Trading and Market Microstructure · Quantitative Finance 2022-08-23 Hai-Chuan Xu , Wei-Xing Zhou

The Hawkes process has garnered attention in recent years for its suitability to describe the behavior of online information cascades. Here, we present a fully tractable approach to analytically describe the distribution of the number of…

Physics and Society · Physics 2020-07-22 Joseph D. O'Brien , Alberto Aleta , Yamir Moreno , James P. Gleeson

Numerous studies grounded on Hawkes processes have been carried out in many fields including finance, biology and social network. Hawkes processes form a class of selfexciting simple point processes. In this article, we consider a general…

Probability · Mathematics 2025-07-22 Bartholomé Vieille , Rachid Senoussi , Samuel Soubeyrand

In this work we investigate the generic properties of a stochastic linear model in the regime of high-dimensionality. We consider in particular the Vector AutoRegressive model (VAR) and the multivariate Hawkes process. We analyze both…

Statistical Mechanics · Physics 2015-06-11 Iacopo Mastromatteo , Emmanuel Bacry , Jean-François Muzy

The presented study elaborates a multi-server priority queueing model considering the pre-emptive repeat policy and phase-type distribution (PH) for retrial process. The incoming heterogeneous calls are categorized as handoff calls and new…

Optimization and Control · Mathematics 2021-08-03 Raina Raj , Vidyottama Jain

This paper proposes a parametric approach for stochastic modeling of limit order markets. The models are obtained by augmenting classical perfectly liquid market models by few additional risk factors that describe liquidity properties of…

Trading and Market Microstructure · Quantitative Finance 2010-06-24 Pekka Malo , Teemu Pennanen

R. Cont and A. de Larrard (SIAM J. Finan. Math, 2013) introduced a tractable stochastic model for the dynamics of a limit order book, computing various quantities of interest such as the probability of a price increase or the diffusion…

Mathematical Finance · Quantitative Finance 2016-01-11 Anatoliy Swishchuk , Nelson Vadori

Mobile health applications, including those that track activities such as exercise, sleep, and diet, are becoming widely used. Accurately predicting human actions is essential for targeted recommendations that could improve our health and…

Social and Information Networks · Computer Science 2018-02-27 Takeshi Kurashima , Tim Althoff , Jure Leskovec

The problem of appropriately matching items subject to compatibility constraints arises in a number of important applications. While most of the literature on matching theory focuses on a static setting with a fixed number of items, several…

Probability · Mathematics 2022-01-04 Céline Comte

Tick-sizes not only influence the granularity of the price formation process but also affect market agents' behavior. We investigate the disparity in the microstructural properties of the Limit Order Book (LOB) across a basket of assets…

Trading and Market Microstructure · Quantitative Finance 2025-08-05 Konark Jain , Jean-François Muzy , Jonathan Kochems , Emmanuel Bacry

In financial markets, the order flow, defined as the process assuming value one for buy market orders and minus one for sell market orders, displays a very slowly decaying autocorrelation function. Since orders impact prices, reconciling…

Statistical Finance · Quantitative Finance 2015-06-19 Damian Eduardo Taranto , Giacomo Bormetti , Fabrizio Lillo

We show that the jumps correlation matrix of a multivariate Hawkes process is related to the Hawkes kernel matrix through a system of Wiener-Hopf integral equations. A Wiener-Hopf argument allows one to prove that this system (in which the…

Methodology · Statistics 2015-02-16 Emmanuel Bacry , Jean-Francois Muzy

Aggressive behavior in autistic inpatient youth often arises in temporally clustered bursts complicating efforts to distinguish external triggers from internal escalation. The sample population branching factor-the expected number of new…

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

Instabilities in the price dynamics of a large number of financial assets are a clear sign of systemic events. By investigating a set of 20 high cap stocks traded at the Italian Stock Exchange, we find that there is a large number of high…

Statistical Finance · Quantitative Finance 2013-03-12 Giacomo Bormetti , Lucio Maria Calcagnile , Michele Treccani , Fulvio Corsi , Stefano Marmi , Fabrizio Lillo
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