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We propose a microstructural model for the order flow in financial markets that distinguishes between {\it core orders} and {\it reaction flow}, both modeled as Hawkes processes. This model has a natural scaling limit that reconciles a…

Statistical Finance · Quantitative Finance 2026-02-03 Johannes Muhle-Karbe , Youssef Ouazzani Chahdi , Mathieu Rosenbaum , Grégoire Szymanski

Cryptocurrencies have gained tremendous popularity over the past few years. The purpose of this study is to try to understand the factors that are driving cryptocurrency-related trading activities. Focusing on the well-established…

Computers and Society · Computer Science 2019-01-04 Natalia Jerdack , Akmaral Dauletbek , Meredith Divine , Michael Hult , Arthur Carvalho

Introducing an algebraic framework for modeling limit order books (LOBs) with tools from physics and stochastic processes, our proposed framework captures the creation and annihilation of orders, order matching, and the time evolution of…

Trading and Market Microstructure · Quantitative Finance 2024-06-10 Johannes Bleher , Michael Bleher

Mathematical modeling with Ordinary Differential Equations (ODEs) has proven to be extremely successful in a variety of fields, including biology. However, these models are completely deterministic given a certain set of initial conditions.…

Machine Learning · Computer Science 2019-10-15 Hamda Ajmal , Michael Madden , Catherine Enright

This paper considers a Markovian model of a limit order book where time-dependent rates are allowed. With the objective of understanding the mechanisms through which a microscopic model of an orderbook can converge to more general diffusion…

Computational Finance · Quantitative Finance 2023-02-03 Jonathan A. Chávez-Casillas

This paper investigates real-time detection of spoofing activity in limit order books, focusing on cryptocurrency centralized exchanges. We first introduce novel order flow variables based on multi-scale Hawkes processes that account both…

Trading and Market Microstructure · Quantitative Finance 2025-04-23 Timothée Fabre , Damien Challet

In this article we look at stochastic processes with uncertain parameters, and consider different ways in which information is obtained when carrying out observations. For example we focus on the case of a the random evolution of a traded…

Mathematical Finance · Quantitative Finance 2024-07-08 Will Hicks

Stochastic evolutions of classical field theories have recently become popular in the study of problems such as determination of the rates of topological transitions and the statistical mechanics of nonlinear coherent structures. To obtain…

High Energy Physics - Lattice · Physics 2009-10-31 Luis M. A. Bettencourt , Salman Habib , Grant Lythe

Online marketplaces are the main engines of legal and illegal e-commerce, yet their empirical properties are poorly understood due to the absence of large-scale data. We analyze two comprehensive datasets containing 245M transactions (16B…

The ordering dynamics of the Higgs field is studied, using techniques inspired by the study of phase ordering in condensed matter physics, as a first step to understanding the evolution of cosmic structure through the formation of…

High Energy Physics - Phenomenology · Physics 2009-10-28 Joao A. N. Filipe , Alan J. Bray

One popular approach to model the limit order books dynamics of the best bid and ask at level-1 is to use the reduced-form diffusion approximations. It is well known that the biggest contributing factor to the price movement is the…

Trading and Market Microstructure · Quantitative Finance 2016-12-13 Tzu-Wei Yang , Lingjiong Zhu

Digital currencies have become popular in the last decade due to their non-dependency and decentralized nature. The price of these currencies has seen a lot of fluctuations at times, which has increased the need for prediction. As their…

Statistical Finance · Quantitative Finance 2025-01-24 Ramin Mousa , Meysam Afrookhteh , Hooman Khaloo , Amir Ali Bengari , Gholamreza Heidary

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

Since its 2009 genesis block, the Bitcoin network has processed >1.08 billion (B) transactions representing >8.72B BTC, offering rich potential for machine learning (ML); yet, its pseudonymity and obscured flow of funds inherent in its…

Machine Learning · Computer Science 2025-10-30 Vahid Jalili

Managing the prediction of metrics in high-frequency financial markets is a challenging task. An efficient way is by monitoring the dynamics of a limit order book to identify the information edge. This paper describes the first publicly…

Computational Engineering, Finance, and Science · Computer Science 2020-03-12 Adamantios Ntakaris , Martin Magris , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

The uncertainties in future Bitcoin price make it difficult to accurately predict the price of Bitcoin. Accurately predicting the price for Bitcoin is therefore important for decision-making process of investors and market players in the…

Statistical Finance · Quantitative Finance 2019-09-04 Samuel Asante Gyamerah

Dynamical density functional theory (DDFT) is a powerful variational framework to study the nonequilibrium properties of colloids by only considering a time-dependent one-body number density. Despite the large number of recent successes,…

Soft Condensed Matter · Physics 2021-01-13 René Wittmann , Hartmut Löwen , Joseph M. Brader

Quantity and price risks are key uncertainties market participants face in electricity markets with increased volatility, for instance, due to high shares of renewables. From day ahead until real-time, there is a large variation in the best…

Methodology · Statistics 2025-02-21 Paul E. Seifert , Emil Kraft , Steffen Bakker , Stein-Erik Fleten

We study the problem of the intraday short-term volume forecasting in cryptocurrency exchange markets. The predictions are built by using transaction and order book data from different markets where the exchange takes place.…

Trading and Market Microstructure · Quantitative Finance 2020-12-03 Nino Antulov-Fantulin , Tian Guo , Fabrizio Lillo

There are two possible ways of interpreting the seemingly stochastic nature of financial markets: the Efficient Market Hypothesis (EMH) and a set of stylized facts that drive the behavior of the markets. We show evidence for some of the…

Statistical Finance · Quantitative Finance 2018-03-20 João Pedro Rodrigues do Carmo
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