F. Abergel and A. Jedidi, A MATHEMATICAL APPROACH TO ORDER BOOK MODELING, International Journal of Theoretical and Applied Finance, vol.16, issue.05, p.16, 2013.
DOI : 10.1142/S0219024913500258

F. Abergel and A. Jedidi, Long Time Behaviour of a Hawkes Process-Based Limit Order Book, SSRN Electronic Journal, 2015.
DOI : 10.2139/ssrn.2575498

URL : https://hal.archives-ouvertes.fr/hal-01121711

M. G. Azar, V. Gomez, and H. J. Kappen, Dynamic policy programming, The Journal of Machine Learning Research, vol.13, issue.1, pp.3207-3245, 2012.

N. Abramovitch and L. A. Stegun, Handbook of mathematical functions, 1965.

Y. A¨?ta¨?t-sahalia, P. A. Mykland, and L. Zhang, Ultra high frequency volatility estimation with dependent microstructure noise, Journal of Econometrics, vol.160, issue.1, pp.160-175, 2011.
DOI : 10.1016/j.jeconom.2010.03.028

A. Alfonsi, A. Fruth, and A. Schied, Optimal execution strategies in limit order books with general shape functions, Quantitative Finance, vol.10, issue.2, pp.143-157, 2010.
DOI : 10.1080/14697680500244411

URL : https://hal.archives-ouvertes.fr/hal-00166969

R. Almgren, Optimal execution with nonlinear impact functions and trading-enhanced risk, Applied Mathematical Finance, vol.3, issue.1, pp.1-18, 2003.
DOI : 10.3905/jpm.1992.409428

R. Almgren, Optimal trading in a dynamic market, p.580, 2009.

R. Almgren and N. Chriss, Optimal execution of portfolio transactions, The Journal of Risk, vol.3, issue.2, pp.5-40, 2001.
DOI : 10.21314/JOR.2001.041

R. Almgren and J. Lorenz, Adaptive arrival price. Trading, pp.59-66, 2007.

T. G. Andersen and O. Bondarenko, VPIN and the flash crash, Journal of Financial Markets, vol.17, pp.1-46, 2014.
DOI : 10.1016/j.finmar.2013.05.005

M. Avellaneda and S. Stoikov, High-frequency trading in a limit order book, Quantitative Finance, vol.8, issue.3, pp.217-224, 2008.
DOI : 10.1080/14697680500244411

R. Azencott, A. Beri, Y. Gadhyan, N. Joseph, C. A. Lehalle et al., Real-time market microstructure analysis: online transaction cost analysis, Quantitative Finance, vol.18, issue.6, pp.14-1167, 2014.
DOI : 10.1080/01621459.1952.10483443

E. Bacry, S. Delattre, M. Hoffmann, and J. F. Muzy, Modelling microstructure noise with mutually exciting point processes, Quantitative Finance, vol.472, issue.7, pp.65-77, 2013.
DOI : 10.1080/14697688.2011.647054

URL : https://hal.archives-ouvertes.fr/hal-01313995

E. Bacry, I. Mastromatteo, and J. F. Muzy, Hawkes processes in finance. arXiv preprint, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01313838

M. Bardi and I. Capuzzo-dolcetta, Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations, 2008.
DOI : 10.1007/978-0-8176-4755-1

E. Bayraktar and M. Ludkovski, LIQUIDATION IN LIMIT ORDER BOOKS WITH CONTROLLED INTENSITY, Mathematical Finance, vol.5, issue.4, pp.627-650, 2014.
DOI : 10.1111/j.1467-9965.2012.00529.x

M. Bena¨?mbena¨?m, Dynamics of stochastic approximation algorithms, Seminaire de probabilités XXXIII, pp.1-68, 1999.

B. Robert, L. George, and J. , Determinants of bid-asked spreads in the over-thecounter market, Journal of Financial Economics, vol.1, issue.4, pp.353-364, 1974.

A. Benveniste, M. Métivier, and P. Priouret, Adaptive algorithms and stochastic approximations, 2012.
DOI : 10.1007/978-3-642-75894-2

D. Bertsimas and A. W. Lo, Optimal control of execution costs, Journal of Financial Markets, vol.1, issue.1, pp.1-50, 1998.
DOI : 10.1016/S1386-4181(97)00012-8

P. Bank and A. Fruth, Optimal Order Scheduling for Deterministic Liquidity Patterns, SIAM Journal on Financial Mathematics, vol.5, issue.1, pp.137-152, 2014.
DOI : 10.1137/120897511

B. Biais and T. Foucault, HFT and market quality, Markets and Investors, 2014.

F. Black, Toward a Fully Automated Stock Exchange, Part I, Financial Analysts Journal, vol.27, issue.4, pp.28-35, 1971.
DOI : 10.2469/faj.v27.n4.28

F. Black, Toward a Fully Automated Stock Exchange, Part II, Financial Analysts Journal, vol.27, issue.6, pp.24-28, 1971.
DOI : 10.2469/faj.v27.n6.24

B. Bouchard, N. M. Dang, and C. A. 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. P. Bouchaud, J. D. Farmer, and F. Lillo, How markets slowly digest changes in supply and demand. Fabrizio, How Markets Slowly Digest Changes in Supply and Demand, 2008.

J. P. Bouchaud, Price impact. Encyclopedia of quantitative finance, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00134675

J. Brogaard, T. Hendershott, and R. Riordan, High-Frequency Trading and Price Discovery, Review of Financial Studies, vol.27, issue.8, pp.2267-2306, 2014.
DOI : 10.1093/rfs/hhu032

R. Burgot, M. Lasnier, S. Laruelle, C. A. Lehalle, and S. Pelin, Market microstructure in practice, 2013.

A. Cartea, S. Jaimungal, and J. Ricci, Buy Low, Sell High: A High Frequency Trading Perspective, SIAM Journal on Financial Mathematics, vol.5, issue.1, pp.415-444, 2014.
DOI : 10.1137/130911196

A. Cartea and S. Jaimungal, Modelling Asset Prices for Algorithmic and High-Frequency Trading, Applied Mathematical Finance, vol.60, issue.6, pp.512-547, 2013.
DOI : 10.1016/S0304-4076(01)00063-X

A. Cartea and S. Jaimungal, Risk Measures and Fine Tuning of High Frequency Trading Strategies, SSRN Electronic Journal, 2012.
DOI : 10.2139/ssrn.2010417

A. Cartea and S. Jaimungal, Modelling Asset Prices for Algorithmic and High-Frequency Trading, Applied Mathematical Finance, vol.60, issue.6, pp.512-547, 2013.
DOI : 10.1016/S0304-4076(01)00063-X

A. Cartea and S. Jaimungal, Optimal execution with limit and market orders. Forthcoming: Quantitative Finance, 2014.
DOI : 10.1080/14697688.2015.1032543

A. Cartea, S. Jaimungal, and D. Kinzebulatov, Algorithmic trading with learning, 2013.

H. F. Chen, L. Guo, and A. J. Gao, Convergence and robustness of the Robbins-Monro algorithm truncated at randomly varying bounds, Stochastic Processes and their Applications, pp.217-231, 1987.
DOI : 10.1016/0304-4149(87)90039-1

R. Cont and A. De-larrard, Price Dynamics in a Markovian Limit Order Market, SIAM Journal on Financial Mathematics, vol.4, issue.1, pp.1-25, 2013.
DOI : 10.1137/110856605

URL : https://hal.archives-ouvertes.fr/hal-00832155

R. Cont and A. Kukanov, Optimal order placement in limit order markets, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00737491

R. Cont, A. Kukanov, and S. Stoikov, The Price Impact of Order Book Events, Journal of Financial Econometrics, vol.12, issue.1, pp.47-88, 2014.
DOI : 10.1093/jjfinec/nbt003

URL : https://hal.archives-ouvertes.fr/hal-00545745

R. Cont, S. Stoikov, and R. Talreja, A Stochastic Model for Order Book Dynamics, Operations Research, vol.58, issue.3, pp.549-563, 2010.
DOI : 10.1287/opre.1090.0780

URL : https://hal.archives-ouvertes.fr/hal-00497666

D. Moivre and A. , Miscellanea analytica de seriebus et quadraturis, 1730.

M. Duflo, Algorithmes stochastiques, 1996.

N. M. Dang, Optimal execution with transient impact Available at, 2014.

H. Degryse, Competition between financial markets in Europe: what can be expected from MiFID?. Financial Markets and Portfolio Management, pp.93-103, 2009.

P. Doukhan and O. Brandiere, Dependent noise for stochastic algorithms, Probability and Mathematical Statistics-PWN, vol.24, issue.2, pp.381-400, 2004.

M. Duflo, Random iterative models, 1997.
DOI : 10.1007/978-3-662-12880-0

Z. Eisler, J. Kertesz, and F. Lillo, The limit order book on different time scales, Noise and Stochastics in Complex Systems and Finance, 2007.
DOI : 10.1117/12.724817

Z. Eisler, J. P. Bouchaud, and J. Kockelkoren, The price impact of order book events: market orders, limit orders and cancellations, Quantitative Finance, vol.8, issue.9, pp.1395-1419, 2012.
DOI : 10.1080/14697680500244411

J. D. Farmer, P. Patelli, and I. I. Zovko, The predictive power of zero intelligence in financial markets, Proceedings of the National Academy of Sciences, vol.102, issue.6, pp.2254-2259, 2005.
DOI : 10.1073/pnas.0409157102

W. H. Fleming and H. M. Soner, Controlled Markov processes and viscosity solutions, 2006.

P. A. Forsyth, A Hamilton???Jacobi???Bellman approach to optimal trade execution, Applied Numerical Mathematics, vol.61, issue.2, pp.241-265, 2011.
DOI : 10.1016/j.apnum.2010.10.004

P. A. Forsyth, J. S. Kennedy, S. T. Tse, and H. Windcliff, Optimal trade execution: A mean quadratic variation approach, Journal of Economic Dynamics and Control, vol.36, issue.12, pp.36-1971, 2012.
DOI : 10.1016/j.jedc.2012.05.007

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

J. C. Fort and G. Pagès, Convergence of stochastic algorithms: from the Kushner-Clark theorem to the Lyapounov functional method Advances in applied probability, pp.1072-1094, 1996.

T. Foucault and A. J. Menkveld, Competition for Order Flow and Smart Order Routing Systems, The Journal of Finance, vol.5, issue.1, pp.119-158, 2008.
DOI : 10.1111/j.1540-6261.2008.01312.x

URL : https://hal.archives-ouvertes.fr/hal-00554030

M. B. Garman, Market microstructure, Journal of Financial Economics, vol.3, issue.3, pp.257-275, 1976.
DOI : 10.1016/0304-405X(76)90006-4

M. B. Garman and M. J. Klass, On the Estimation of Security Price Volatilities from Historical Data, The Journal of Business, vol.53, issue.1, pp.67-78, 1980.
DOI : 10.1086/296072

J. Gatheral, A. Schied, and A. Slynko, TRANSIENT LINEAR PRICE IMPACT AND FREDHOLM INTEGRAL EQUATIONS, Mathematical Finance, vol.2, issue.1, pp.445-474, 2012.
DOI : 10.1111/j.1467-9965.2011.00478.x

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

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

O. Guéant and C. A. Lehalle, GENERAL INTENSITY SHAPES IN OPTIMAL LIQUIDATION, Mathematical Finance, vol.17, issue.6, 2013.
DOI : 10.1111/mafi.12052

O. Guéant, C. A. Lehalle, and J. Fernandez-tapia, Optimal Portfolio Liquidation with Limit Orders, SIAM Journal on Financial Mathematics, vol.3, issue.1, pp.740-764, 2012.
DOI : 10.1137/110850475

O. Guéant, C. A. 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, pp.477-507, 2013.
DOI : 10.1007/s11579-012-0087-0

O. Guéant, Execution and Block Trade Pricing with Optimal Constant Rate of Participation, Journal of Mathematical Finance, vol.04, issue.04, 2012.
DOI : 10.4236/jmf.2014.44023

O. Guéant, Optimal Execution and Block Trade Pricing: A General Framework, Applied Mathematical Finance, vol.28, issue.1, 2012.
DOI : 10.1080/1350486X.2012.755817

O. Guéant and J. Pu, Option pricing and hedging with execution costs and market impact. arXiv preprint arXiv, pp.1311-4342, 2013.

O. Guéant, J. Pu, and G. Royer, Accelerated Share Repurchase: pricing and execution strategy. arXiv preprint, 2013.

O. Guéant, Optimal execution of ASR contracts with fixed notional, 2014.

O. Guéant and G. Royer, VWAP Execution and Guaranteed VWAP, SIAM Journal on Financial Mathematics, vol.5, issue.1, pp.445-471, 2014.
DOI : 10.1137/130924676

F. Guilbaud and H. Pham, Optimal High-Frequency Trading in a Pro-Rata Microstructure with Predictive Information, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01174042

F. Guilbaud and H. Pham, Optimal high-frequency trading with limit and market orders, Quantitative Finance, vol.11, issue.4, pp.79-94, 2013.
DOI : 10.1080/14697688.2012.708779

URL : https://hal.archives-ouvertes.fr/hal-00835633

L. Gillemot, J. D. Farmer, and F. Lillo, There's more to volatility than volume, Quantitative Finance, vol.8, issue.5, pp.371-384, 2006.
DOI : 10.2307/1912002

L. R. Glosten and P. R. Milgrom, Bid, ask and transaction prices in a specialist market with heterogeneously informed traders, Journal of Financial Economics, vol.14, issue.1, pp.71-100, 1985.
DOI : 10.1016/0304-405X(85)90044-3

T. Hayashi and N. Yoshida, On covariance estimation of non-synchronously observed diffusion processes, Bernoulli, vol.11, issue.2, pp.359-379, 2005.
DOI : 10.3150/bj/1116340299

L. Harris, Trading and exchanges: Market microstructure for practitioners, 2002.

T. S. Ho and R. G. Macris, Dealer Bid-Ask Quotes and Transaction Prices: An Empirical Study of Some AMEX Options, The Journal of Finance, vol.33, issue.1981, pp.23-45, 1984.
DOI : 10.1111/j.1540-6261.1984.tb03858.x

T. Ho and H. R. Stoll, Optimal dealer pricing under transactions and return uncertainty, Journal of Financial Economics, vol.9, issue.1, pp.47-73, 1981.
DOI : 10.1016/0304-405X(81)90020-9

T. S. Ho and H. R. Stoll, The Dynamics of Dealer Markets Under Competition, The Journal of Finance, vol.16, issue.4, pp.1053-1074, 1983.
DOI : 10.1111/j.1540-6261.1983.tb02282.x

W. Huang, C. A. Lehalle, and M. Rosenbaum, Simulating and Analyzing Order Book Data: The Queue-Reactive Model, Journal of the American Statistical Association, vol.3, issue.509, pp.0-00, 2014.
DOI : 10.1080/14697680701344515

URL : https://hal.archives-ouvertes.fr/hal-01172326

O. Kallenberg, Foundations of modern probability, 2002.
DOI : 10.1007/978-1-4757-4015-8

H. J. Kappen, An introduction to stochastic control theory, path integrals and reinforcement learning, AIP Conference Proceedings, pp.149-181, 2007.
DOI : 10.1063/1.2709596

J. Kiefer and J. Wolfowitz, Stochastic Estimation of the Maximum of a Regression Function, The Annals of Mathematical Statistics, vol.23, issue.3, pp.462-466, 1952.
DOI : 10.1214/aoms/1177729392

A. A. Kirilenko, A. S. Kyle, M. Samadi, and T. Tuzun, The Flash Crash: The Impact of High Frequency Trading on an Electronic Market, SSRN Electronic Journal, 2014.
DOI : 10.2139/ssrn.1686004

R. Kissell, Statistical Methods to Compare Algorithmic Performance, The Journal of Trading, vol.2, issue.2, pp.53-62, 2007.
DOI : 10.3905/jot.2007.682139

R. Kissell, Transaction Cost Analysis, The Journal of Trading, vol.3, issue.2, pp.29-37, 2008.
DOI : 10.3905/jot.2008.705630

R. Kissell, The science of algorithmic trading and portfolio management, 2013.

R. Kissell and R. Malamut, Understanding the profit and loss distribution of trading algorithms, Trading, issue.1, pp.41-49, 2005.

R. Kissell and R. Malamut, Algorithmic Decision-Making Framework, The Journal of Trading, vol.1, issue.1, pp.12-21, 2006.
DOI : 10.3905/jot.2006.609171

R. Kissell, M. Glantz, and R. Malamut, Optimal trading strategies: quantitative approaches for managing market impact and trading risk, 2003.

V. Y. Korolev, A. V. Chertok, A. Y. Korchagin, and A. I. Zeifman, Modeling high-frequency order flow imbalance by functional limit theorems for two-sided risk processes, Applied Mathematics and Computation, vol.253, pp.224-241, 2015.
DOI : 10.1016/j.amc.2014.12.085

P. Kratz and T. Schöneborn, Optimal liquidation in dark pools, Quantitative Finance, vol.11, issue.9, pp.1519-1539, 2014.
DOI : 10.1093/rfs/hht078

H. J. Kushner and G. G. Yin, Stochastic approximation algorithms and applications, 1997.
DOI : 10.1007/978-1-4899-2696-8

A. S. Kyle, Continuous Auctions and Insider Trading, Econometrica, vol.53, issue.6, pp.1315-1335, 1985.
DOI : 10.2307/1913210

D. Lamberton, G. Pagès, and P. Tarrès, When can the two-armed bandit algorithm be trusted, Annals of Applied Probability, pp.1424-1454, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00102253

D. Lamberton and G. Pagès, How Fast Is the Bandit?, Stochastic Analysis and Applications, pp.603-623, 2008.
DOI : 10.1109/TSSC.1969.300228

URL : https://hal.archives-ouvertes.fr/hal-00012182

S. Laruelle, Stochastic approximation with averaging innovation applied to Finance, Monte Carlo Methods and Applications, vol.18, issue.1, 2010.
DOI : 10.1515/mcma-2011-0018

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

S. Laruelle, C. A. Lehalle, and G. Pagès, Optimal Split of Orders Across Liquidity Pools: A Stochastic Algorithm Approach, SIAM Journal on Financial Mathematics, vol.2, issue.1, pp.1042-1076, 2011.
DOI : 10.1137/090780596

URL : https://hal.archives-ouvertes.fr/hal-00707851

S. Laruelle, C. A. 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

C. A. Lehalle, Market microstructure knowledge needed to control an intraday trading process, Handbook on Systemic Risk, 2013.

C. A. Lehalle, The impact of liquidity fragmentation on optimal trading. Trading, pp.80-87, 2009.

C. A. Lehalle and N. M. Dang, Rigorous post-trade market impact measurement and the price formation process, Trading, issue.1, pp.2010-108, 2010.

C. A. Lehalle, O. Guéant, and J. Razafinimanana, High Frequency Simulations of an Order Book: a Two-Scales Approach Econophysics of Order-Driven Markets, 2010.

C. Lehalle and R. Burgot, The Established Liquidity Fragmentation Affects all Investors, 2009.

J. Lelong, Almost sure convergence of randomly truncated stochastic algorithms under verifiable conditions, Statistics & Probability Letters, vol.78, issue.16, pp.2632-2636, 2008.
DOI : 10.1016/j.spl.2008.02.034

URL : https://hal.archives-ouvertes.fr/hal-00152255

V. Lemaire and G. Pagès, Unconstrained recursive importance sampling, The Annals of Applied Probability, vol.20, issue.3, pp.1029-1067, 2010.
DOI : 10.1214/09-AAP650

URL : https://hal.archives-ouvertes.fr/hal-00497551

F. Lillo and J. D. Farmer, The Long Memory of the Efficient Market, Studies in nonlinear dynamics & econometrics, 2004.
DOI : 10.2202/1558-3708.1226

J. Lorenz and R. F. Almgren, Mean???Variance Optimal Adaptive Execution, Applied Mathematical Finance, vol.3, issue.5, pp.395-422, 2011.
DOI : 10.1007/s002450010003

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

A. Madhavan, Exchange-Traded Funds, Market Structure, and the Flash Crash, Financial Analysts Journal, vol.68, issue.4, pp.20-35, 2012.
DOI : 10.2469/faj.v68.n4.6

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

M. Métivier and P. Priouret, Théorèmes de convergence presque sûre pour une classe d'algorithmes stochastiquesàstochastiquesà pas décroissant. Probability Theory and Related Fields, pp.403-428, 1987.

A. A. Obizhaeva and J. Wang, Optimal trading strategy and supply/demand dynamics, Journal of Financial Markets, vol.16, issue.1, pp.1-32, 2013.
DOI : 10.1016/j.finmar.2012.09.001

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

O. Hara, M. Oldfield, and G. S. , The Microeconomics of Market Making, The Journal of Financial and Quantitative Analysis, vol.21, issue.4, pp.361-376, 1986.
DOI : 10.2307/2330686

O. Hara and M. , High frequency market microstructure, Journal of Financial Economics, 2015.

G. Pagès, Functional Co-monotony of Processes with Applications to Peacocks and Barrier Options, Séminaire de Probabilités XLV, pp.365-400, 2013.
DOI : 10.1007/978-3-319-00321-4_15

G. Pagès, Introduction to Numerical Probability applied to finance, 2014.

M. Pelletier, Weak convergence rates for stochastic approximation with application to multiple targets and simulated annealing, The Annals of Applied Probability, vol.8, issue.1, pp.10-44, 1998.
DOI : 10.1214/aoap/1027961032

S. Predoiu, G. Shaikhet, and S. Shreve, Optimal Execution in a General One-Sided Limit-Order Book, SIAM Journal on Financial Mathematics, vol.2, issue.1, pp.183-212, 2011.
DOI : 10.1137/10078534X

H. Robbins and S. Monro, A stochastic approximation method. The annals of mathematical statistics, pp.400-407, 1951.

C. Y. Robert and M. Rosenbaum, A New Approach for the Dynamics of Ultra-High-Frequency Data: The Model with Uncertainty Zones, Journal of Financial Econometrics, vol.9, issue.2, pp.344-366, 2011.
DOI : 10.1093/jjfinec/nbq023

URL : https://hal.archives-ouvertes.fr/hal-00659614

C. Y. Robert and M. Rosenbaum, VOLATILITY AND COVARIATION ESTIMATION WHEN MICROSTRUCTURE NOISE AND TRADING TIMES ARE ENDOGENOUS, Mathematical Finance, vol.100, issue.1, pp.133-164, 2012.
DOI : 10.1111/j.1467-9965.2010.00454.x

URL : https://hal.archives-ouvertes.fr/hal-00661645

L. C. Rogers, Optimal investment, 2013.
DOI : 10.1007/978-3-642-35202-7

M. Rosenbaum, A new microstructure noise index, Quantitative Finance, vol.107, issue.6, pp.883-899, 2011.
DOI : 10.1198/016214505000000169

URL : https://hal.archives-ouvertes.fr/hal-00659613

S. M. Ross, Introduction to stochastic dynamic programming, 2014.

T. P. Ryan, Sample size determination and power, 2013.
DOI : 10.1002/9781118439241

A. Schied and T. Schneborn, Risk aversion and the dynamics of optimal liquidation strategies in??illiquid markets, Finance and Stochastics, vol.5, issue.2, pp.181-204, 2009.
DOI : 10.1007/s00780-008-0082-8

A. Schreck, G. Fort, E. Moulines, and M. Vihola, Convergence of Markovian Stochastic Approximation with discontinuous dynamics. arXiv preprint, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00966187

E. Smith, J. D. Farmer, L. S. Gillemot, and S. Krishnamurthy, Statistical theory of the continuous double auction, Quantitative Finance, vol.3, issue.6, pp.481-514, 2003.
DOI : 10.1017/CBO9780511755767

B. Toth, Z. Eisler, F. Lillo, J. Kockelkoren, J. P. Bouchaud et al., How does the market react to your order flow?, Quantitative Finance, vol.8, issue.1, pp.12-1015, 2012.
DOI : 10.1103/PhysRevX.1.021006

N. Touzi, Optimal stochastic control, stochastic target problems, and backward SDE, 2012.
DOI : 10.1007/978-1-4614-4286-8

P. Weber and B. Rosenow, Order book approach to price impact, Quantitative Finance, vol.8, issue.4, pp.357-364, 2005.
DOI : 10.1016/S0378-4371(99)00077-1

URL : http://arxiv.org/abs/cond-mat/0311457

L. Zhang, P. A. Mykland, and Y. A¨?ta¨?t-sahalia, A Tale of Two Time Scales, Journal of the American Statistical Association, vol.100, issue.472, p.100, 2005.
DOI : 10.1198/016214505000000169