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stochastic (stō-kăs′tĭk) adj. 1. Of, relating to, or characterized by conjecture; conjectural. 2. Statistics Involving or containing a random variable or process: stochastic calculus; a stochastic simulation. [Greek stokhastikos, from stokhastēs, diviner, from stokhazesthai, to guess at, from stokhos, aim, goal; see stegh- in Indo-European. Stochastic Modeling of Order Book Dynamics [Abstract] In this project the order book model proposed by Cont et al. [10] is used as a starting point to model order to perform analysis. Here we study the dynamics of the order book, which is the smallest level of description In recent years, quote-driven markets have lost a signi cant. A practical and accessible introduction to numerical methods for stochastic differential equations is given. The reader is assumed to be familiar with Euler's method for deterministic differential equations and to have at least an intuitive feel for the concept of a random variable; however, no knowledge of advanced probability theory or stochastic processes is by: sive list of statistical features of order book dynamics that are challenging to incorporate in a single model. Bouchaud et al. (), Smith et al. (), Bovier et al. (), Luckock (), and Maslov and Mills () propose stochastic models of order book dynamics in the spirit of the one proposed here, but focus on unconditional/steady-.