Bibliography
Major publications by the team in recent years
-
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.
Affine diffusions and related processes: simulation, theory and applications, Bocconi and Springer Series, Mathematics statistics, finance and economics, Springer, 2015. -
5A. Alfonsi, B. Jourdain, A. Kohatsu-Higa.
Pathwise optimal transport bounds between a one-dimensional diffusion and its Euler scheme, in: Annals of Applied Probability, 2014.
https://hal-enpc.archives-ouvertes.fr/hal-00727430 -
6A. 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.
http://epubs.siam.org/doi/abs/10.1137/090762786 -
7H. Amini, A. Minca, A. Sulem.
Control of interbank contagion under partial information, in: SIAM Journal on Financial Mathematics, December 2015, vol. 6, no 1, 24 p.
https://hal.inria.fr/hal-01027540 -
8V. Bally, N. Fournier.
Regularization properties od the 2D homogenuos Bolzmann equation without cutoff, in: PTRF, 2011, no 151, pp. 659-670. -
9M. 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 -
10B. Jourdain.
Probabilités et statistique, Ellipses, 2009. -
11D. 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. -
12D. 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. -
13M.-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 ]
https://hal.inria.fr/hal-00709632 -
14M.-C. Quenez, A. Sulem.
Reflected BSDEs and robust optimal stopping for dynamic risk measures with jumps, in: Stochastic Processes and their Applications, September 2014, vol. 124, no 9, 23 p.
https://hal.inria.fr/hal-00773708 -
15A. 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. -
16B. Øksendal, A. Sulem.
Applied Stochastic Control of Jump Diffusions, Universitext, Second Edition, Springer, Berlin, Heidelberg, New York, 257 pages 2007. -
17B. 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 -
18B. 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
Articles in International Peer-Reviewed Journals
-
19A. Al Gerbi, B. Jourdain, E. Clément.
Ninomiya-Victoir scheme: strong convergence, antithetic version and application to multilevel estimators, in: Monte Carlo Method and Applications, July 2016, vol. 22, no 3, pp. 197-228.
https://hal-enpc.archives-ouvertes.fr/hal-01188675 -
20A. Alfonsi, P. Blanc.
Dynamic optimal execution in a mixed-market-impact Hawkes price model, in: Finance and Stochastics, January 2016. [ DOI : 10.1007/s00780-015-0282-y ]
https://hal-enpc.archives-ouvertes.fr/hal-00971369 -
21A. Alfonsi, P. Blanc.
Extension and calibration of a Hawkes-based optimal execution model, in: Market microstructure and liquidity, August 2016. [ DOI : 10.1142/S2382626616500052 ]
https://hal-enpc.archives-ouvertes.fr/hal-01169686 -
22A. Alfonsi, A. Kebaier, C. Rey.
Maximum Likelihood Estimation for Wishart processes, in: Stochastic Processes and their Applications, November 2016. [ DOI : 10.1016/j.spa.2016.04.026 ]
https://hal-enpc.archives-ouvertes.fr/hal-01184310 -
23A. Alfonsi, C. Labart, J. Lelong.
Stochastic Local Intensity Loss Models with Interacting Particle Systems, in: Mathematical Finance, 2016, vol. 26, no 2, pp. 366–394. [ DOI : 10.1111/mafi.12059 ]
https://hal.archives-ouvertes.fr/hal-00786239 -
24A. Alfonsi, A. Schied, F. Klöck.
Multivariate transient price impact and matrix-valued positive definite functions, in: Mathematics of Operations Research, March 2016. [ DOI : 10.1287/moor.2015.0761 ]
https://hal-enpc.archives-ouvertes.fr/hal-00919895 -
25L. Badouraly Kassim, J. Lelong, I. Loumrhari.
Importance sampling for jump processes and applications to finance, in: Journal of Computational Finance, December 2016, vol. 19, no 2, pp. 109-139.
https://hal.archives-ouvertes.fr/hal-00842362 -
26A. Bouselmi, D. Lamberton.
The critical price of the American put near maturity in the jump diffusion model, in: SIAM Journal on Financial Mathematics, May 2016, vol. 7, no 1, pp. 236–272. [ DOI : 10.1137/140965910 ]
https://hal-upec-upem.archives-ouvertes.fr/hal-00979936 -
27M. Clausel, J.-F. Coeurjolly, J. Lelong.
Stein estimation of the intensity of a spatial homogeneous Poisson point process, in: Annals of Applied Probability, June 2016, vol. 26, no 3, pp. 1495-1534. [ DOI : 10.1214/15-AAP1124 ]
https://hal.archives-ouvertes.fr/hal-01024648 -
28C. De Luigi, J. Lelong, S. Maire.
Adaptive numerical integration and control variates for pricing Basket Options, in: Applied Numerical Mathematics, 2016, vol. 100, 17 p.
https://hal.archives-ouvertes.fr/hal-00746872 -
29R. Dumitrescu, C. Labart.
Numerical approximation of doubly reflected BSDEs with jumps and RCLL obstacles, in: Journal of Mathematical Analysis and applications, October 2016, vol. 442, no 1, pp. 206-243.
https://hal.archives-ouvertes.fr/hal-01006131 -
30R. Dumitrescu, C. Labart.
Reflected scheme for doubly reflected BSDEs with jumps and RCLL obstacles, in: Journal of Computational and Applied Mathematics, April 2016, vol. 296, pp. 827-839.
https://hal.archives-ouvertes.fr/hal-01114996 -
31R. Dumitrescu, M.-C. Quenez, A. Sulem.
A Weak Dynamic Programming Principle for Combined Optimal Stopping/Stochastic Control with Ef-Expectations, in: SIAM Journal on Control and Optimization, 2016, vol. 54, no 4, pp. 2090-2115. [ DOI : 10.1137/15M1027012 ]
https://hal.inria.fr/hal-01370425 -
32R. Dumitrescu, M.-C. Quenez, A. Sulem.
Generalized Dynkin games and doubly reflected BSDEs with jumps, in: Electronic Journal of Probability, 2016. [ DOI : 10.1214/16-EJP4568 ]
https://hal.inria.fr/hal-01388022 -
33R. Dumitrescu, M.-C. Quenez, A. Sulem.
Mixed generalized Dynkin game and stochastic control in a Markovian framework, in: Stochastics, 2016, vol. 89, no 1, 30 p.
https://hal.inria.fr/hal-01417203 -
34G. E. Espinosa, C. Hillairet, B. Jourdain, M. Pontier.
Reducing the debt : is it optimal to outsource an investment?, in: Mathematics and Financial Economics, March 2016, vol. 10, no 4, pp. 457-493.
https://hal-enpc.archives-ouvertes.fr/hal-00824390 -
35J. Fontbona, B. Jourdain.
A trajectorial interpretation of the dissipations of entropy and Fisher information for stochastic differential equations, in: Annals of Probability, February 2016, vol. 44, no 1, pp. 131-170.
https://hal.archives-ouvertes.fr/hal-00608977 -
36L. Goudenège, M. Andrea, A. Zanette.
Pricing and hedging GLWB in the Heston and in the Black–Scholes with stochastic interest rate models , in: Insurances : Mathematics and Economics, September 2016. [ DOI : 10.1016/j.insmatheco.2016.05.018 ]
https://hal.archives-ouvertes.fr/hal-01390968 -
37B. Jourdain, J. Reygner.
A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data, in: Journal of Hyperbolic Differential Equations, September 2016, vol. 13, no 3, pp. 441-602. [ DOI : 10.1142/S0219891616500144 ]
https://hal-enpc.archives-ouvertes.fr/hal-01100604 -
38B. Jourdain, J. Reygner.
Optimal convergence rate of the multitype sticky particle approximation of one-dimensional diagonal hyperbolic systems with monotonic initial data, in: Discrete and Continuous Dynamical Systems - Series A, September 2016, vol. 36, no 9, pp. 4963-4996. [ DOI : 10.3934/dcds.2016015 ]
https://hal-enpc.archives-ouvertes.fr/hal-01171261 -
39J. Mint Moustapha, B. Jourdain, D. Daucher.
A probabilistic particle approximation of the “Paveri-Fontana” kinetic model of traffic flow, in: SMAI Journal of Computational Mathematics, November 2016, vol. 2, pp. 229-253. [ DOI : 10.5802/smai-jcm.15 ]
https://hal.archives-ouvertes.fr/hal-01415636 -
40B. Øksendal, A. Sulem.
Dynamic Robust Duality in Utility Maximization, in: Applied Mathematics and Optimization, 2016, pp. 1-31.
https://hal.inria.fr/hal-01406663
Scientific Books (or Scientific Book chapters)
-
41B. Øksendal, A. Sulem.
Optimal control of predictive mean-field equations and applications to finance, in: Springer Proceedings in Mathematics & Statistics, Stochastic of Environmental and Financial Economics, Springer Verlag, 2016, vol. 138, 319 p. [ DOI : 10.1007/978-3-319-23425-0 ]
https://hal.inria.fr/hal-01406649 -
42B. Øksendal, A. Sulem, T. Zhang.
A stochastic HJB equation for optimal control of forward-backward SDEs, in: The Fascination of Probability, Statistics and their Applications, Springer Verlag, 2016, 11 p.
https://hal.inria.fr/hal-01406655
Other Publications
-
43A. Al Gerbi, B. Jourdain, E. Clément.
Asymptotic error distribution for the Ninomiya-Victoir scheme in the commutative case, November 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01390897 -
44A. Al Gerbi, B. Jourdain, E. Clément.
Asymptotics for the normalized error of the Ninomiya-Victoir scheme, January 2016, working paper or preprint.
https://hal-enpc.archives-ouvertes.fr/hal-01259915 -
45A. Alfonsi, J. Corbetta, B. Jourdain.
Evolution of the Wasserstein distance between the marginals of two Markov processes, November 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01390887 -
46V. Bally, L. Caramellino.
An Invariance Principle for Stochastic Series II. Non Gaussian Limits, December 2016, working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01413533 -
47V. Bally, L. Caramellino.
Regularity of Wiener functionals under a Hörmander type condition of order one, December 2016, working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01413556 -
48V. Bally, L. Caramellino, P. Pigato.
Diffusions under a local strong Hörmander condition. Part I: density estimates, December 2016, working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01413546 -
49V. Bally, L. Caramellino, P. Pigato.
Diffusions under a local strong Hörmander condition. Part II: tube estimates, December 2016, working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01413545 -
50G. Fort, B. Jourdain, T. Lelievre, G. Stoltz.
Convergence and efficiency of adaptive importance sampling techniques with partial biasing, October 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01389996 -
51B. Jourdain, A. Zhou.
Fake Brownian motion and calibration of a Regime Switching Local Volatility model, July 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01341212 -
52A. Kebaier, J. Lelong.
Coupling Importance Sampling and Multilevel Monte Carlo using Sample Average Approximation, May 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01214840 -
53S. Labbé, J. Lelong.
Stochastic modelling of thermal effects on a ferromagnetic nano particle, June 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01337197 -
54J. Lelong.
Pricing American options using martingale bases, November 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01299819 -
55A. Lionnet, G. dos Reis, L. Szpruch.
Convergence and qualitative properties of modified explicit schemes for BSDEs with polynomial growth, July 2016, working paper or preprint.
https://hal.inria.fr/hal-01404132
- 56PREMIA: un outil d'évaluation pour les options, NextOption, 2006.
-
57M. 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. -
58M. 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. -
59A. 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. -
60H. Amini, R. Cont, A. Minca.
Resilience to Contagion in Financial Networks, in: Mathematical Finance, 2013. -
61V. Bally.
An elementary introduction to Malliavin calculus, Inria, Rocquencourt, February 2003, no 4718.
http://hal.inria.fr/inria-00071868 -
62V. 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. -
63D. Bell.
The Malliavin Calculus, Pitman Monographs and Surveys in Pure and Applied Math., Longman and Wiley, 1987, no 34. -
64T. 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. -
65F. Black, M. Scholes.
The pricing of Options and Corporate Liabibilites, in: Journal of Political Economy, 1973, vol. 81, pp. 637-654. -
66J.-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 -
67I. Elsanosi, B. Øksendal, A. Sulem.
Some Solvable Stochastic control Problems with Delay, in: Stochastics and Stochastics Reports, 2000. -
68J. 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. -
69E. 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. -
70E. 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. -
71N. 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. -
72J. Garnier, G. Pananicolaou, T.-W. Yang.
Large deviations for a mean field model of systemic risk, 2012, Manuscript, arXiv:1204.3536. -
73P. 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. -
74Y. Kabanov, M. Safarian.
Markets with Transaction Costs: Mathematical Theory, Springer Verlag, 2009. -
75C. 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. -
76D. Lamberton, B. Lapeyre, A. Sulem.
Application of Malliavin Calculus to Finance, in: special issue of the journal Mathematical Finance, January 2003. -
77P. Malliavin.
Stochastic calculus of variations and hypoelliptic operators, in: Proc. Inter. Symp. on Stoch. Diff. Equations, Kyoto, Wiley 1978, 1976, pp. 195-263. -
78P. Malliavin, A. Thalmaier.
Stochastic Calculus of variations in Mathematical Finance, Springer Finance, Springer Verlag, 2006. -
79A. Minca.
Modélisation mathématique de la contagion de défaut; Mathematical modeling of financial contagion, Université Pierre et Marie Curie, Paris 6, September 5 2011. -
80D. Nualart.
The Malliavin Calculus and Related Topics, Springer–Verlag, 1995. -
81D. Ocone, I. Karatzas.
A generalized representation formula with application to optimal portfolios, in: Stochastics and Stochastic Reports, 1991, vol. 34, pp. 187-220. -
82D. 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. -
83N. 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. -
84F. Russo, P. Vallois.
Stochastic calculus with respect to continuous finite quadratic variation processes, in: Stochastics and Stochastics Reports, 2000, vol. 70, pp. 1–40. -
85A. 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. -
86A. Sulem, A. Zanette.
Premia: A Numerical Platform for Pricing Financial Derivatives, in: Ercim News, July 2009, vol. 78. -
87U. Çetin, R. Jarrow, P. Protter.
Liquidity risk and arbitrage pricing theory, in: Finance and Stochastics, 2004, vol. 8. -
88B. 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. -
89B. 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. -
90B. Øksendal, A. Sulem.
Optimal stochastic impulse control with delayed reaction, in: Applied Mathematics and Optimization, 2008, vol. 58, pp. 243-255. -
91B. 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.