R. F. Almgren and N. Chriss, Optimal execution of portfolio transactions, The Journal of Risk, vol.3, issue.2, pp.5-39, 2000.
DOI : 10.21314/JOR.2001.041

R. Almgren, C. Thum, E. Hauptmann, and H. Li, Direct Estimation of Equity Market Impact, Risk, vol.18, pp.57-62, 2005.

S. Avellaneda, High-frequency trading in a limit order book, Quantitative Finance, vol.8, issue.3, pp.227-224, 2008.
DOI : 10.1080/14697680500244411

B. Bouchard, N. Dang, and C. Lehalle, Optimal Control of Trading Algorithms: A General Impulse Control Approach, SIAM Journal on Financial Mathematics, vol.2, issue.1, pp.404-438, 2011.
DOI : 10.1137/090777293

URL : https://hal.archives-ouvertes.fr/hal-00432203

J. Cartea, RISK METRICS AND FINE TUNING OF HIGH-FREQUENCY??? TRADING STRATEGIES, Mathematical Finance, vol.1, issue.1, 2012.
DOI : 10.1111/mafi.12023

R. Cont and A. D. Larrard, Price Dynamics in a Markovian Limit Order Book Market, Social Science Research Network Working Paper Series, 2011.

L. Fodra, High-frequency market-making with inventory constraints and directional bets, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00675925

L. Fodra, High-frequency market-making for multi-dimensional markov processes, 2013.

A. Gareche, G. Disdier, J. Kockelkoren, and J. P. Bouchaud, Fokker-Planck description for the queue dynamics of large tick stocks, Physical Review E, vol.88, issue.3, 2013.
DOI : 10.1103/PhysRevE.88.032809

J. Gatheral, No-dynamic-arbitrage and market impact, Quantitative Finance, vol.8, issue.7, pp.749-759, 2010.
DOI : 10.1080/14697680500244411

L. Guéant and F. , Dealing with the inventory risk: a solution to the market making problem, Mathematics and Financial Economics, vol.39, issue.4, pp.477-507, 2013.
DOI : 10.1007/s11579-012-0087-0

O. Guéant, C. Lehalle, and J. Fernandez-tapia, Dealing with the inventory risk: a solution to the market making problem, Mathematics and Financial Economics, vol.39, issue.4, 2012.
DOI : 10.1007/s11579-012-0087-0

I. Kharroubi and H. Pham, Optimal Portfolio Liquidation with Execution Cost and Risk, SIAM Journal on Financial Mathematics, vol.1, issue.1, 2009.
DOI : 10.1137/09076372X

URL : https://hal.archives-ouvertes.fr/hal-00394997

H. J. Kushner and D. S. Clark, Stochastic approximation methods for constrained and unconstrained systems, Applied Mathematical Sciences, vol.26, 1978.
DOI : 10.1007/978-1-4684-9352-8

H. J. Kushner and G. G. Yin, Stochastic approximation and recursive algorithms and applications, Stochastic Modelling and Applied Probability, 2003.

A. Lachapelle, J. Lasry, C. Lehalle, and P. Lions, Efficiency of the price formation process in presence of high frequency participants: a mean field game analysis, Mathematics and Financial Economics, vol.22, issue.11, 2013.
DOI : 10.1007/s11579-015-0157-1

J. Large, Measuring the resiliency of an electronic limit order book, Journal of Financial Markets, vol.10, issue.1, pp.1-25, 2007.
DOI : 10.1016/j.finmar.2006.09.001

S. Laruelle, C. Lehalle, and G. Pagès, Optimal posting price of limit orders: learning by trading, Mathematics and Financial Economics, vol.9, issue.2, pp.359-403, 2013.
DOI : 10.1007/s11579-013-0096-7

URL : https://hal.archives-ouvertes.fr/hal-00650314

S. Laruelle and G. Pagès, Stochastic approximation with averaging innovation applied to Finance, Monte Carlo Methods and Applications, vol.18, issue.1, pp.1-51, 2012.
DOI : 10.1515/mcma-2011-0018

URL : https://hal.archives-ouvertes.fr/hal-00504644

J. Lasry and P. Lions, Mean field games, Japanese Journal of Mathematics, vol.4, issue.1, pp.229-260, 2007.
DOI : 10.1007/s11537-007-0657-8

URL : https://hal.archives-ouvertes.fr/hal-00667356

C. Lehalle and N. M. Dang, Rigorous post-trade market impact measurement and the price formation process. Liquidity Guide, 2010.

C. Lehalle, O. Guéant, and J. Razafinimanana, High-Frequency Simulations of an Order Book: a Two-scale Approach, Econophysics of Order-Driven Markets, 2010.
DOI : 10.1007/978-88-470-1766-5_6

F. Lillo, J. D. Farmer, and R. Mantegna, Econophysics: Master curve for price-impact function, Nature, vol.46, issue.6919, 2003.
DOI : 10.1103/PhysRevE.66.027104

L. Pierre, J. M. Lions, and . Lasry, Large investor trading impacts on volatility, Ann. I. H. Poincaré, 2006.

A. J. Menkveld, High Frequency Trading and The New-Market Makers, Social Science Research Network Working Paper Series, 2010.

P. Fodra and H. Pham, High Frequency Trading in a Markov Renewal Model, SSRN Electronic Journal, 2013.
DOI : 10.2139/ssrn.2333752

URL : https://hal.archives-ouvertes.fr/hal-00867113

P. Fodra and H. Pham, Semi-markov model for market microstructure, 2013.
DOI : 10.1080/1350486x.2015.1037963

URL : https://hal.archives-ouvertes.fr/hal-01261353

G. Pagès, A functional co-monotony principle with an application to peacoks and barrier options. 2012. pré-pub PMA 1536

G. Pagès, S. Laruelle, and C. Lehalle, Optimal split of orders across liquidity pools: a stochatic algorithm approach, SIAM Journal on Financial Mathematics, vol.2, pp.1042-1076, 2011.

I. Ro¸suro¸su, A Dynamic Model of the Limit Order Book, Review of Financial Studies, vol.22, issue.11, pp.4601-4641, 2009.
DOI : 10.1093/rfs/hhp011