Bibliography
Major publications by the team in recent years
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1L. Abbas-Turki, B. Lapeyre.
American options by Malliavin calculus and nonparametric variance and bias reduction methods, in: SIAM J. Financ. Math., 2012, vol. 3, no 1, pp. 479-510. -
2A. Ahdida, A. Alfonsi.
Exact and high order discretization schemes for Wishart processes and their affine extensions, in: Annals of Applied Probability, 2013, vol. 23, no 3, pp. 1025-1073. [ DOI : 10.1214/12-AAP863 ]
http://hal.inria.fr/hal-00491371 -
3A. Alfonsi.
High order discretization schemes for the CIR process: Application to affine term structure and Heston models, in: Stochastic Processes and their Applications, 2010, vol. 79, pp. 209-237.
http://www.ams.org/journals/mcom/2010-79-269/S0025-5718-09-02252-2/home.html -
4A. Alfonsi, B. Jourdain, A. Kohatsu-Higa.
Pathwise optimal transport bounds between a one-dimensional diffusion and its Euler scheme, September 2012.
https://hal-enpc.archives-ouvertes.fr/hal-00727430 -
5A. Alfonsi, A. Schied.
Optimal Trade Execution and Absence of Price Manipulations in Limit Order Book Models, in: SIAM J. Finan. Math., 2010, vol. 1, no 1, pp. 490-522, dx.doi.org/10.1137/090762786.
http://epubs.siam.org/doi/abs/10.1137/090762786 -
6V. Bally, N. Fournier.
Regularization properties od the 2D homogenuos Bolzmann equation without cutoff, in: PTRF, 2011, no 151, pp. 659-670. -
7M. Jeunesse, B. Jourdain.
Regularity of the American put option in the Black-Scholes model with general discrete dividends, in: Stochastic Processes and their Applications, 2012, vol. 112, pp. 3101-3125, DOI:10.1016/j.spa.2012.05.009.
http://hal.archives-ouvertes.fr/hal-00633199 -
8B. Jourdain.
Probabilités et statistique, Ellipses, 2009. -
9D. Lamberton, M. Mikou.
Exercise boundary of the American put near maturity in an exponential Lévy model, in: Finance and Stochastics, 2013, vol. 17, no 2, pp. 355-394. -
10D. Lamberton, M. Zervos.
On the optimal stopping of a one-dimensional diffusion, in: Electronic Journal of Probability, 2013, vol. 18, no 34, pp. 1-49. -
11M.-C. Quenez, A. Sulem.
BSDEs with jumps, optimization and applications to dynamic risk measures, in: Stochastic Processes and their Applications, March 2013, vol. 123, no 8, pp. 3328-3357. [ DOI : 10.1016/j.spa.2013.02.016 ]
http://hal.inria.fr/hal-00709632 -
12A. Sulem.
Numerical Methods implemented in the Premia Software, March-April 2009, vol. 99, Special issue of the Journal “Bankers, Markets, Investors”, Introduction by Agnès Sulem (Ed) and A. Zanette. -
13B. Øksendal, A. Sulem.
Applied Stochastic Control of Jump Diffusions, Universitext, Second Edition, Springer, Berlin, Heidelberg, New York, 257 pages 2007. -
14B. Øksendal, A. Sulem.
Singular stochastic Control and Optimal stopping with partial information of Itô-Lévy processes, in: SIAM J. Control & Optim., 2012, vol. 50, no 4, pp. 2254–2287.
http://epubs.siam.org/doi/abs/10.1137/100793931
Articles in International Peer-Reviewed Journals
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15L. Abbas-Turki, D. Lamberton.
European Options Sensitivity with Respect to the Correlation for Multidimensional Heston Models, in: International Journal of Theoretical and Applied Finance, 2014, vol. 17, no 03. [ DOI : 10.1142/S0219024914500150 ]
https://hal.archives-ouvertes.fr/hal-00867887 -
16E. Appolloni, G. Marcellino, A. Zanette.
The binomial interpolated lattice method fro step double barrier options , in: International Journal of Theoretical and Applied Finance, 2014, vol. 17, no 6, 1450035. [ DOI : 10.1142/S0219024914500356 ]
https://hal.archives-ouvertes.fr/hal-01096581 -
17L. Badouraly Kassim, J. Lelong, I. Loumrhari.
Importance sampling for jump processes and applications to finance, in: Journal of Computational Finance, February 2014.
https://hal.archives-ouvertes.fr/hal-00842362 -
18J.-P. Chancelier, B. Lapeyre, J. Lelong.
Using Premia and Nsp for Constructing a Risk Management Benchmark for Testing Parallel Architecture, in: Concurrency and Computation: Practice and Experience, June 2014, vol. 26, no 9, pp. 1654-1665. [ DOI : 10.1002/cpe.2893 ]
https://hal.archives-ouvertes.fr/hal-00447845 -
19R. Dumitrescu, M.-C. Quenez, A. Sulem.
Optimal Stopping for Dynamic Risk Measures with Jumps and Obstacle Problems, in: Journal of Optimization Theory and Applications, August 2014, 24 p. [ DOI : 10.1007/s10957-014-0635-2 ]
https://hal.inria.fr/hal-01096501 -
20C. Fontana, B. Øksendal, A. Sulem.
Viability and martingale measures under partial information, in: Methodology and Computing in Applied Probability, 2014, 26 p. [ DOI : 10.1007/s11009-014-9397-4 ]
https://hal.inria.fr/hal-00789517 -
21B. Jourdain, J. Reygner.
The small noise limit of order-based diffusion processes, in: Electronic Journal of Probability, March 2014, vol. 19, no 29, pp. 1-36. [ DOI : 10.1214/EJP.v19-2906 ]
https://hal-enpc.archives-ouvertes.fr/hal-00840185 -
22A. Minca, A. Sulem.
Optimal Control of Interbank Contagion Under Complete Information, in: Statistics and Risk Modeling, 2014, vol. 31, no 1, pp. 1001-1026. [ DOI : 10.1524/Strm.2014.5005 ]
https://hal.inria.fr/hal-00916695 -
23S. M. Ould Aly.
Forward Variance Dynamics: Bergomi’s Model Revisited, in: Applied Mathematical Finance, 2014, vol. 21, no 1, 23 p. [ DOI : 10.1080/1350486X.2013.812329 ]
https://hal.inria.fr/hal-01108244 -
24M.-C. Quenez, A. Sulem.
Reflected BSDEs and robust optimal stopping for dynamic risk measures with jumps, in: Stochastic Processes and Applications, September 2014, vol. 124, no 9, 23 p.
https://hal.inria.fr/hal-00773708 -
25B. Øksendal, A. Sulem.
Risk minimization in financial markets modeled by Itô-Lévy processes, in: Afrika Mathematika, May 2014, 40 p.
https://hal.inria.fr/hal-01096870 -
26B. Øksendal, A. Sulem.
Stochastic Control of Itô-Lévy Processes with applications to finance, in: Communications on Stochastic Analysis, March 2014, vol. 8, no 1, 15 p.
https://hal.inria.fr/hal-01096879
Scientific Books (or Scientific Book chapters)
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27B. Jourdain, A. Sulem.
Statistics and Risk Modeling, Systemic Risk (Special issue 1), De Gruyter, March 2014, vol. 31, 128 p.
https://hal.inria.fr/hal-01110659
Other Publications
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28A. Ahdida, A. Alfonsi, E. Palidda.
Smile with the Gaussian term structure model, December 2014.
https://hal.archives-ouvertes.fr/hal-01098554 -
29A. Alfonsi, P. Blanc.
Dynamic optimal execution in a mixed-market-impact Hawkes price model, April 2014.
https://hal-enpc.archives-ouvertes.fr/hal-00971369 -
30A. Alfonsi, B. Jourdain, A. Kohatsu-Higa.
Optimal transport bounds between the time-marginals of a multidimensional diffusion and its Euler scheme, May 2014.
https://hal-enpc.archives-ouvertes.fr/hal-00997301 -
31H. Amini, A. Minca, A. Sulem.
Control of interbank contagion under partial information, July 2014.
https://hal.inria.fr/hal-01027540 -
32V. Bally, L. Caramellino.
Asymptotic development for the CLT in total variation distance, January 2015.
https://hal-upec-upem.archives-ouvertes.fr/hal-01104866 -
33V. Bally, A. Kohatsu-Higa.
A probabilistic interpretation of the parametrix method, January 2014.
https://hal.archives-ouvertes.fr/hal-00926479 -
34A. Bouselmi, D. Lamberton.
The critical price of the American put near maturity in the jump diffusion model, March 2014.
https://hal-upec-upem.archives-ouvertes.fr/hal-00979936 -
35R. Dumitrescu, C. Labart.
Numerical approximation of doubly reflected BSDEs with jumps and RCLL obstacles, June 2014.
https://hal.archives-ouvertes.fr/hal-01006131 -
36G. Fort, B. Jourdain, T. Lelièvre, G. Stoltz.
Self-Healing Umbrella Sampling: Convergence and efficiency, October 2014.
https://hal.archives-ouvertes.fr/hal-01073201 -
37Y. Hu, B. Øksendal, A. Sulem.
Singular mean-field control games with applications to optimal harvesting and investment problems, June 2014.
https://hal.inria.fr/hal-01108232 -
38B. Jourdain, J. Reygner.
Capital distribution and portfolio performance in the mean-field Atlas model, August 2014.
https://hal-enpc.archives-ouvertes.fr/hal-00921151 -
39B. Jourdain, J. Reygner.
A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data, January 2015, 112 pages, 10 figures. A list of notations is included.
https://hal-enpc.archives-ouvertes.fr/hal-01100604
- 40PREMIA: un outil d'évaluation pour les options, NextOption, 2006.
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41M. Akian, J. Menaldi, A. Sulem.
On an Investment-Consumption model with transaction costs, in: SIAM J. Control and Optim., 1996, vol. 34, pp. 329-364. -
42M. Akian, A. Sulem, M. Taksar.
Dynamic optimisation of long term growth rate for a portfolio with transaction costs - The logarithmic utility case, in: Mathematical Finance, 2001, vol. 11, pp. 153-188. -
43A. Alfonsi, B. Jourdain.
A remark on the optimal transport between two probability measures sharing the same copula, July 2013.
http://hal.inria.fr/hal-00844906 -
44A. Alfonsi, C. Labart, J. Lelong.
Stochastic Local Intensity Loss Models with Interacting Particle Systems, in: Mathematical Finance, December 2013, pp. 1-29. [ DOI : 10.1111/mafi.12059 ]
http://hal.inria.fr/hal-00786239 -
45A. Alfonsi, A. Schied.
Optimal Trade Execution and Absence of Price Manipulations in Limit Order Book Models, in: SIAM J. Finan. Math., 2010, vol. 1, pp. 490-522. -
46H. Amini, R. Cont, A. Minca.
Resilience to Contagion in Financial Networks, in: Mathematical Finance, 2013.
http://dx.doi.org/10.1111/mafi.12051 -
47V. Bally.
An elementary introduction to Malliavin calculus, Inria, Rocquencourt, February 2003, no 4718.
http://hal.inria.fr/inria-00071868 -
48V. Bally, L. Caramellino.
Regularity of probability laws by using an interpolation method, 2012.
http://hal.archives-ouvertes.fr/hal-00926415 -
49V. Bally, L. Caramellino.
On the distance between probability density functions, November 2013.
https://hal.archives-ouvertes.fr/hal-00926401 -
50V. Bally, L. Caramellino.
Regularity of Wiener functionals under an Hörmander type condition of order one, July 2013.
https://hal.archives-ouvertes.fr/hal-00926413 -
51V. Bally, L. Caramellino, A. Zanette.
Pricing American options by a Monte Carlo method using a Malliavin calculus approach, in: Monte Carlo methods and applications, 2005, vol. 11, no 2, pp. 97–133. -
52D. Bell.
The Malliavin Calculus, Pitman Monographs and Surveys in Pure and Applied Math., Longman and Wiley, 1987, no 34. -
53T. Bielecki, J.-P. Chancelier, S. Pliska, A. Sulem.
Risk sensitive portfolio optimization with transaction costs, in: Journal of Computational Finance, 2004, vol. 8, pp. 39-63. -
54F. Black, M. Scholes.
The pricing of Options and Corporate Liabibilites, in: Journal of Political Economy, 1973, vol. 81, pp. 637-654. -
55R. Carmona, J.-P. Fouque, L.-H. Sun.
Mean field games and systemic risk, 2013, Communications in Mathematical Sciences, arXiv:1308.2172. -
56R. Dumitrescu, M.-C. Quenez, A. Sulem.
Double barrier reflected BSDEs with jumps and generalized Dynkin games, Inria, October 2013, no RR-8381.
http://hal.inria.fr/hal-00873688 -
57I. Elsanosi, B. Øksendal, A. Sulem.
Some Solvable Stochastic control Problems with Delay, in: Stochastics and Stochastics Reports, 2000. -
58J. D. Fonseca, M. Messaoud.
Libor Market Model in Premia: Bermudan pricer, Stochastic Volatility and Malliavin calculus, in: Bankers, Markets, Investors, March-April 2009, vol. Special report: Numerical Methods implemented in the Premia Software, no 99, pp. 44–57. -
59E. Fournié, J.-M. Lasry, J. Lebuchoux, P.-L. Lions.
Applications of Malliavin calculus to Monte Carlo methods in Finance, II, in: Finance & Stochastics, 2001, vol. 2, no 5, pp. 201-236. -
60E. Fournié, J.-M. Lasry, J. Lebuchoux, P.-L. Lions, N. Touzi.
An application of Malliavin calculus to Monte Carlo methods in Finance, in: Finance & Stochastics, 1999, vol. 4, no 3, pp. 391-412. -
61N. C. Framstad, B. Øksendal, A. Sulem.
Optimal Consumption and Portfolio in a Jump Diffusion Market with Proportional Transaction Costs, in: Journal of Mathematical Economics, 2001, vol. 35, pp. 233-257. -
62J. Garnier, G. Pananicolaou, T.-W. Yang.
Large deviations for a mean field model of systemic risk, 2012, Manuscript, arXiv:1204.3536. -
63P. Gassiat, H. Pham, M. Sirbu.
Optimal investment on finite horizon with random discrete order flow in illiquid markets, in: International Journal of Theoretical and Applied Finance, 2010, vol. 14, pp. 17-40. -
64B. Jourdain, T. Lelièvre, B. Miasojedow.
Optimal scaling for the transient phase of Metropolis Hastings algorithms: the longtime behavior, December 2012, 42 pages, 6 figures.
https://hal.archives-ouvertes.fr/hal-00768855 -
65B. Jourdain, T. Lelièvre, B. Miasojedow.
Optimal scaling for the transient phase of the random walk Metropolis algorithm: the mean-field limit, October 2012.
https://hal.archives-ouvertes.fr/hal-00748055 -
66B. Jourdain, J. Reygner.
Propagation of chaos for rank-based interacting diffusions and long time behaviour of a scalar quasilinear parabolic equation, in: Stochastic partial differential equations: analysis and computations, June 2013, vol. 1, no 3, pp. 455-506. [ DOI : 10.1007/s40072-013-0014-2 ]
https://hal-enpc.archives-ouvertes.fr/hal-00755269 -
67Y. Kabanov, M. Safarian.
Markets with Transaction Costs: Mathematical Theory, Springer Verlag, 2009. -
68C. Labart, J. Lelong.
Pricing Parisian Options using Laplace transforms, in: Bankers, Markets, Investors, March-April 2009, vol. Special report: Numerical Methods implemented in the Premia Software, no 99, pp. 29–43. -
69D. Lamberton, B. Lapeyre, A. Sulem.
Application of Malliavin Calculus to Finance, in: special issue of the journal Mathematical Finance, January 2003. -
70P. Malliavin.
Stochastic calculus of variations and hypoelliptic operators, in: Proc. Inter. Symp. on Stoch. Diff. Equations, Kyoto, Wiley 1978, 1976, pp. 195-263. -
71P. Malliavin, A. Thalmaier.
Stochastic Calculus of variations in Mathematical Finance, Springer Finance, 2006. -
72A. Minca.
Modélisation mathématique de la contagion de défaut; Mathematical modeling of financial contagion, Université Pierre et Marie Curie, Paris 6, September 5 2011. -
73J. M. Moustapha.
Modelling and simulation of vehicle traffic : statistical analysis of insertion models and probabilistic simulation of a kinetic model, Université Paris Est, November 13 2014, Adviser: B. Jourdain. -
74D. Nualart.
The Malliavin Calculus and Related Topics, Springer–Verlag, 1995. -
75D. Ocone, I. Karatzas.
A generalized representation formula with application to optimal portfolios, in: Stochastics and Stochastic Reports, 1991, vol. 34, pp. 187-220. -
76D. Ocone.
A guide to the stochastic calculus of variations, in: Stochastic Analysis and Related Topics, H. Koerzlioglu, S. Üstünel (editors), Lecture Notes in Math.1316, 1987, pp. 1-79. -
77S. M. Ould Aly.
Modélisation de la courbe de variance et modèles à volatilité stochastique ; Forward variance modelling and stochastic volatility models, Université Paris Est, Marne la Vallée, June 2011, PhD thesis. Adviser: D. Lamberton. -
78S. M. Ould Aly.
Monotonicity of Prices in Heston Model, in: International Journal of Theoretical and Applied Finance, 2013, vol. 16, no 3, pp. 1350016-1-1350016-23. -
79N. Privault, X. Wei.
Calibration of the LIBOR market model - implementation in Premia, in: Bankers, Markets, Investors, March-April 2009, vol. Special report: Numerical Methods implemented in the Premia Software, no 99, pp. 20–29. -
80M.-C. Quenez, A. Sulem.
Reflected BSDEs and robust optimal stopping for dynamic risk measures with jumps, Inria, January 2013, no RR-8211, 27 p.
http://hal.inria.fr/hal-00780175 -
81J. Reygner.
Longtime behaviour of particle systems : applications in physics, finance and PDEs, Université Pierre et Marie Curie, November 24 2014, advisers: B. Jourdain and L. Zambotti.
https://tel.archives-ouvertes.fr/tel-01087575 -
82F. Russo, P. Vallois.
Stochastic calculus with respect to continuous finite quadratic variation processes, in: Stochastics and Stochastics Reports, 2000, vol. 70, pp. 1–40. -
83A. Sulem.
Dynamic Optimisation for a mixed Portfolio with transaction costs, in: Numerical methods in Finance, 1997, pp. 165-180, edited by L.C.G. Rogers and D.Talay, Cambridge University Press, Publications of the Newton Institute. -
84A. Sulem, A. Zanette.
Premia: A Numerical Platform for Pricing Financial Derivatives, in: Ercim News, July 2009, vol. 78. -
85U. Çetin, R. Jarrow, P. Protter.
Liquidity risk and arbitrage pricing theory, in: Finance and Stochastics, 2004, vol. 8.
http://dx.doi.org/10.1007/s00780-004-0123-x -
86B. Øksendal, A. Sulem, T. Zhang.
Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations, in: Advances in Applied Probability, 2011, vol. 43, pp. 572-596. -
87B. Øksendal, A. Sulem.
Optimal Consumption and Portfolio with both fixed and proportional transaction costs: A Combined Stochastic Control and Impulse Control Model, in: SIAM J. Control and Optim., 2002, vol. 40, pp. 1765-1790. -
88B. Øksendal, A. Sulem.
Optimal stochastic impulse control with delayed reaction, in: Applied Mathematics and Optimization, 2008, vol. 58, pp. 243-255. -
89B. Øksendal.
An Introduction to Malliavin Calculus with Applications to Economics, in: Lecture Notes from a course given 1996 at the Norwegian School of Economics and Business Administration (NHH), September 1996, NHH Preprint Series. -
90B. Øksendal, A. Sulem, T. Zhang.
A stochastic HJB equation for optimal control of forward-backward SDEs, December 2013.
https://hal.inria.fr/hal-00919141 -
91B. Øksendal, A. Sulem, T. Zhang.
Singular Control and Optimal Stopping of SPDEs, and Backward SPDEs with Reflection, in: Mathematics of Operations Research, June 2013.
https://hal.inria.fr/hal-00919136