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

S. Asmussen and J. Rosi´nskirosi´nski, Approximations of small jumps of L??vy processes with a view towards simulation, Journal of Applied Probability, vol.22, issue.02, pp.482-493, 2001.
DOI : 10.1007/s007800050032

M. Bernhart, Using BSDE with jumps to value American style options, in Workshop on numerical methods in finance, pp.1-2, 2010.

D. Bertsimas, L. Kogan, and A. W. Lo, When is time continuous?, Journal of Financial Economics, vol.55, issue.2, pp.173-204, 2000.
DOI : 10.1016/S0304-405X(99)00049-5

F. Black and A. Perold, Theory of constant proportion portfolio insurance, Journal of Economic Dynamics and Control, vol.16, issue.3-4, pp.403-426, 1992.
DOI : 10.1016/0165-1889(92)90043-E

R. M. Blumenthal, R. K. Getoor, and D. B. Ray, On the distribution of first hits for symmetric stable processes, T. Am, Math. Soc, vol.99, pp.540-554, 1961.

M. Brodén and P. Tankov, TRACKING ERRORS FROM DISCRETE HEDGING IN EXPONENTIAL L??VY MODELS, International Journal of Theoretical and Applied Finance, vol.14, issue.06, pp.1-35, 2011.
DOI : 10.1142/S0219024911006760

R. Carmona and N. Touzi, OPTIMAL MULTIPLE STOPPING AND VALUATION OF SWING OPTIONS, Mathematical Finance, vol.3767, issue.2, p.239, 2008.
DOI : 10.2307/2331121

P. Carr, H. Geman, D. Madan, and M. Yor, Stochastic Volatility for Levy Processes, Mathematical Finance, vol.29, issue.2, pp.345-382, 2003.
DOI : 10.1016/0304-405X(76)90022-2

URL : https://hal.archives-ouvertes.fr/halshs-00144385

P. Carr and D. Madan, Option valuation using the fast Fourier transform, The Journal of Computational Finance, vol.2, issue.4, pp.61-73, 1998.
DOI : 10.21314/JCF.1999.043

R. Cont and P. Tankov, CONSTANT PROPORTION PORTFOLIO INSURANCE IN THE PRESENCE OF JUMPS IN ASSET PRICES, Mathematical Finance, vol.23, issue.2, pp.379-401, 2009.
DOI : 10.1111/j.1467-9965.2009.00377.x

URL : https://hal.archives-ouvertes.fr/hal-00415514

R. Cont, P. Tankov, and E. Voltchkova, Hedging with Options in Models with Jumps, Stochastic Analysis and Applications -the Abel Symposium, 2005.
DOI : 10.1007/978-3-540-70847-6_8

URL : https://hal.archives-ouvertes.fr/hal-00705960

A. Cretarola, F. Gozzi, H. Pham, and P. Tankov, Optimal consumption policies in illiquid markets, Finance and Stochastics, vol.5, issue.1, pp.85-116, 2011.
DOI : 10.1007/s00780-010-0123-y

URL : https://hal.archives-ouvertes.fr/hal-00292673

J. Cvitani´ccvitani´c, R. Liptser, and B. Rozovskii, A filtering approach to tracking volatility from prices observed at random times, The Annals of Applied Probability, pp.1633-1652, 2006.

S. Deng, Stochastic models of energy commodity prices and their applications: Mean-reversion with jumps and spikes

J. Figueroa-lópez and C. Houdré, Small-time expansions for the transition distributions of L??vy processes, Stochastic Processes and Their Applications, p.119, 2009.
DOI : 10.1016/j.spa.2009.09.002

J. E. Figueroa-lopez, Nonparametric estimation of time-changed Lévy models under highfrequency data, Adv. Appl. Probab, vol.41, pp.1161-1188, 2009.

M. I. Freidlin and A. D. , Random perturbations of dynamical systems, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 1998.

R. Frey and W. Runggaldier, A NONLINEAR FILTERING APPROACH TO VOLATILITY ESTIMATION WITH A VIEW TOWARDS HIGH FREQUENCY DATA, International Journal of Theoretical and Applied Finance, vol.04, issue.02, pp.199-210, 2001.
DOI : 10.1142/S021902490100095X

M. Fukasawa, Discretization error of stochastic integrals. preprint, 2009.

C. Geiss and S. Geiss, On an approximation problem for stochastic integrals where random time nets do not help, Stochastic Process, Appl, vol.116, pp.407-422, 2006.

S. Geiss, Quantitative approximation of certain stochastic integrals, Stochastics An International Journal of Probability and Stochastic Processes, vol.73, issue.3, pp.241-270, 2002.
DOI : 10.1080/1045112021000025934

H. Geman and A. Roncoroni, Understanding the Fine Structure of Electricity Prices*, The Journal of Business, vol.79, issue.3, p.79, 2006.
DOI : 10.1086/500675

URL : https://hal.archives-ouvertes.fr/halshs-00144198

R. K. Getoor, First passage times for symmetric stable processes in space, Transactions of the American Mathematical Society, vol.101, issue.1, pp.75-90, 1961.
DOI : 10.1090/S0002-9947-1961-0137148-5

E. Gobet and E. Temam, Discrete time hedging errors for options with irregular payoffs, Finance and Stochastics, vol.5, issue.3, pp.357-367, 2001.
DOI : 10.1007/PL00013539

T. Hayashi and P. A. Mykland, EVALUATING HEDGING ERRORS: AN ASYMPTOTIC APPROACH, Mathematical Finance, vol.80, issue.2, pp.309-343, 2005.
DOI : 10.1007/s004400050134

S. Heston, A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options, Review of Financial Studies, vol.6, issue.2, pp.327-343, 1993.
DOI : 10.1093/rfs/6.2.327

J. Jacod, Asymptotic properties of realized power variations and related functionals of semimartingales, Stochastic Processes and their Applications, vol.118, issue.4, pp.517-559, 2008.
DOI : 10.1016/j.spa.2007.05.005

URL : https://hal.archives-ouvertes.fr/hal-00023146

J. Jacod, T. G. Kurtz, S. Méléard, and P. Protter, The approximate Euler method for L??vy driven stochastic differential equations, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.41, issue.3, pp.41-523, 2005.
DOI : 10.1016/j.anihpb.2004.01.007

J. Jacod and P. Protter, Asymptotic error distributions for the Euler method for stochastic differential equations, The Annals of Probability, vol.26, issue.1, pp.267-307, 1998.
DOI : 10.1214/aop/1022855419

F. Jamshidian, LIBOR market models with semimartingales, tech. rep, NetAnalytics Ltd, 1999.

R. P. Jena and P. Tankov, Arbitrage Opportunities in Misspecified Stochastic Volatility Models, SIAM Journal on Financial Mathematics, vol.2, issue.1, pp.317-341, 2011.
DOI : 10.1137/100786678

URL : https://hal.archives-ouvertes.fr/hal-00705974

J. Kallsen, F. Hubalek, and L. Krawczyk, Variance-optimal hedging for processes with stationary independent increments, The Annals of Applied Probability, pp.853-885, 2006.

J. Kallsen and P. Tankov, Characterization of dependence of multidimensional L??vy processes using L??vy copulas, Journal of Multivariate Analysis, vol.97, issue.7, pp.1551-1572, 2006.
DOI : 10.1016/j.jmva.2005.11.001

T. Kanamura and K. Ohashi, A structural model for electricity prices with spikes: Measurement of spike risk and optimal policies for hydropower plant operation, Energy Economics, vol.29, issue.5, pp.1010-1032, 2007.
DOI : 10.1016/j.eneco.2006.05.012

A. Kohatsu-higa and P. Tankov, Jump-adapted discretization schemes for Lévy-driven SDEs, Stoch, Proc. Appl, pp.2258-2285, 2010.

A. Kyprianou, Introductory Lectures on Fluctuations of Lévy Processes with Applications, 2006.

R. W. Lee, Option pricing by transform methods: extensions, unification and error control, The Journal of Computational Finance, vol.7, issue.3, p.7, 2004.
DOI : 10.21314/JCF.2004.121

B. B. Mandelbrot, The variation of certain speculative prices, Journal of Business XXXVI, pp.392-417, 1963.

K. Matsumoto, Optimal portfolio of low liquid assets with a log-utility function, Finance and Stochastics, vol.10, issue.1, pp.121-145, 2006.
DOI : 10.1007/s00780-005-0172-9

R. Merton, Option pricing when underlying stock returns are discontinuous, Journal of Financial Economics, vol.3, issue.1-2, pp.125-144, 1976.
DOI : 10.1016/0304-405X(76)90022-2

T. Meyer-brandis and P. Tankov, MULTI-FACTOR JUMP-DIFFUSION MODELS OF ELECTRICITY PRICES, International Journal of Theoretical and Applied Finance, vol.11, issue.05, pp.503-528, 2008.
DOI : 10.1142/S0219024908004907

URL : https://hal.archives-ouvertes.fr/hal-00184563

H. Pham and P. Tankov, A MODEL OF OPTIMAL CONSUMPTION UNDER LIQUIDITY RISK WITH RANDOM TRADING TIMES, Mathematical Finance, vol.33, issue.4, pp.613-627, 2008.
DOI : 10.1111/j.1467-9965.2008.00350.x

URL : https://hal.archives-ouvertes.fr/hal-00330442

H. Pham and P. Tankov, A Coupled System of Integrodifferential Equations Arising in Liquidity Risk Model, Applied Mathematics and Optimization, vol.33, issue.2, pp.147-173, 2009.
DOI : 10.1007/s00245-008-9046-9

URL : https://hal.archives-ouvertes.fr/hal-00401893

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, 2010.
DOI : 10.1137/10078534X

P. Protter and D. Talay, The Euler scheme for L??vy driven stochastic differential equations, The Annals of Probability, vol.25, issue.1, pp.393-423, 1997.
DOI : 10.1214/aop/1024404293

L. Rogers and O. Zane, A simple model of liquidity effects, Advances in finance and stochastics: essays in honour of Dieter Sondermann, pp.161-176, 2002.

M. Rosenbaum and P. Tankov, Asymptotic results for time-changed L??vy processes sampled at hitting times, Stochastic Processes and their Applications, vol.121, issue.7, pp.1607-1632, 2011.
DOI : 10.1016/j.spa.2011.03.013

S. Rubenthaler, Numerical simulation of the solution of a stochastic differential equation driven by a Lévy process, Stoch, Proc. Appl, pp.311-349, 2003.

L. Rüschendorf and J. H. Woerner, Expansion of transition distributions of Lévy processes in small time, Bernoulli, vol.8, pp.81-96, 2002.

W. Schoutens, E. Simons, and J. Tistaert, A perfect calibration! now what?, Wilmott, vol.2, issue.2, 2004.
DOI : 10.1002/wilm.42820040216

P. Tankov, Lévy Processes in Finance: Inverse Problems and Dependence Modelling, 2004.

P. Tankov, Pricing and hedging gap risk, The Journal of Computational Finance, vol.13, 2009.

P. Tankov and E. Voltchkova, Asymptotic analysis of hedging errors in models with jumps, Stochastic processes and their applications, pp.2004-2027, 2009.

R. Weron, Heavy tails and electricity prices, The Deutsche Bundesbank's 2005 Annual Fall Conference, 2005.

G. Winkler and V. Liebscher, Smoothers for Discontinuous Signals, Journal of Nonparametric Statistics, vol.27, issue.1-2, pp.203-222, 2002.
DOI : 10.1103/PhysRevLett.58.86

R. Zhang, Couverture approchée des options Européennes, Ecole Nationale des Ponts et Chaussées, 1999.