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
Doctoral Dissertations and Habilitation Theses
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15E. Palidda.
Multi-dimensional stochastic volatility for Interest Rates, Paris-Est ; Ecole des Ponts, May 2015.
https://tel.archives-ouvertes.fr/tel-01217655
Articles in International Peer-Reviewed Journals
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16H. 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 -
17E. Appolloni, L. Caramellino, A. Zanette.
A robust tree method for pricing American options with CIR stochastic interest rate, in: IMA Journal of Management Mathematics, 2015, vol. 26, no 4, pp. 377-401.
https://hal.archives-ouvertes.fr/hal-00916441 -
18L. 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 -
19M. Briani, L. Caramellino, A. Zanette.
A hybrid approach for the implementation of the Heston model, in: IMA Journal of Management Mathematics, 2015. [ DOI : 10.1093/imaman/dpv032 ]
https://hal.archives-ouvertes.fr/hal-00916440 -
20R. Dumitrescu, M.-C. Quenez, A. Sulem.
Optimal Stopping for Dynamic Risk Measures with Jumps and Obstacle Problems, in: Journal of Optimization Theory and Applications, 2015, vol. 167, no 1, 23 p. [ DOI : 10.1007/s10957-014-0635-2 ]
https://hal.inria.fr/hal-01096501 -
21C. Fontana, B. Øksendal, A. Sulem.
Market viability and martingale measures under partial information, in: Methodology and Computing in Applied Probability, 2015, vol. 17, 24 p. [ DOI : 10.1007/s11009-014-9397-4 ]
https://hal.inria.fr/hal-00789517 -
22G. Fort, B. Jourdain, E. KUHN, T. Lelièvre, G. Stoltz.
Convergence of the Wang-Landau algorithm, in: Mathematics of Computation, September 2015, vol. 84, no 295. [ DOI : 10.1090/S0025-5718-2015-02952-4 ]
https://hal.inria.fr/hal-01238595 -
23B. Jourdain, T. Lelièvre, B. Miasojedow.
Optimal scaling for the transient phase of the random walk Metropolis algorithm: The mean-field limit, in: The Annals of Applied Probability, August 2015, vol. 25, no 4. [ DOI : 10.1214/14-AAP1048 ]
https://hal.archives-ouvertes.fr/hal-00748055 -
24B. Jourdain, J. Reygner.
Capital distribution and portfolio performance in the mean-field Atlas model, in: Annals of Finance, May 2015, vol. 11, no 2, pp. 151-198. [ DOI : 10.1007/s10436-014-0258-5 ]
https://hal-enpc.archives-ouvertes.fr/hal-00921151 -
25B. Øksendal, A. Sulem.
Risk minimization in financial markets modeled by Itô-Lévy processes, in: Afrika Mathematika, 2015, vol. 26, 40 p. [ DOI : 10.1007/s13370-014-0248-9 ]
https://hal.inria.fr/hal-01096870
Scientific Books (or Scientific Book chapters)
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26B. Øksendal, A. Sulem.
Applications of stochastic analysis, in: The Princeton Companion to Applied Mathematics, N. J. Higham (editor), Princeton University Press, 2015.
https://hal.inria.fr/hal-01260035 -
27B. Øksendal, A. Sulem, T. Zhang.
A comparison theorem for backward SPDEs with jumps, in: Festschrift Masatoshi Fukushima, Z.-Q. Chen, N. Jacob, M. Takeda, T. Uemura (editors), World Scientific, 2015, 8 p.
https://hal.inria.fr/hal-01260074
Internal Reports
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28M. Clausel, J.-F. Coeurjolly, J. Lelong.
Stein estimation of the intensity of a spatial homogeneous Poisson point process, Université de Grenoble, March 2015.
https://hal.archives-ouvertes.fr/hal-01024648
Other Publications
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29A. Al Gerbi, B. Jourdain, E. Clément.
Ninomiya-Victoir scheme: strong convergence, antithetic version and application to multilevel estimators, August 2015, working paper or preprint.
https://hal-enpc.archives-ouvertes.fr/hal-01188675 -
30A. 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 -
31A. Alfonsi, P. Blanc.
Extension and calibration of a Hawkes-based optimal execution model, June 2015, working paper or preprint.
https://hal-enpc.archives-ouvertes.fr/hal-01169686 -
32A. Alfonsi, B. Jourdain, A. Kohatsu-Higa.
Optimal transport bounds between the time-marginals of a multidimensional diffusion and its Euler scheme, March 2015, working paper or preprint.
https://hal-enpc.archives-ouvertes.fr/hal-00997301 -
33A. Alfonsi, A. Kebaier, C. Rey.
Maximum Likelihood Estimation for Wishart processes, August 2015, working paper or preprint.
https://hal-enpc.archives-ouvertes.fr/hal-01184310 -
34R. Assaraf, B. Jourdain, T. Lelièvre, R. Roux.
Computation of sensitivities for the invariant measure of a parameter dependent diffusion, September 2015, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01192862 -
35A. Aurélien.
A simple proof for the convexity of the Choquet integral, January 2015, working paper or preprint.
https://hal-enpc.archives-ouvertes.fr/hal-01101310 -
36V. Bally, L. Caramellino.
Asymptotic development for the CLT in total variation distance, January 2015, working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01104866 -
37V. Bally, L. Caramellino.
Regularity of probability laws by using an interpolation method, January 2015, working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01109276 -
38V. Bally, L. Caramellino.
Tubes estimates for diffusion processes under a local Hörmander condition of order one, January 2015, working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01104873 -
39V. Bally, V. Rabiet.
Asymptotic behavior for multi-scale PDMP's, April 2015, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01144107 -
40V. Bally, C. Rey.
Approximation of Markov semigroups in total variation distance, January 2015, working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01110015 -
41J. Bielagk, A. Lionnet, G. dos Reis.
Equilibrium pricing under relative performance concerns, December 2015, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01245812 -
42R. Dumitrescu, C. Labart.
Reflected scheme for doubly reflected BSDEs with jumps and RCLL obstacles, February 2015, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01114996 -
43R. Dumitrescu, M.-C. Quenez, A. Sulem.
Game options in an imperfect market with default, November 2015, working paper or preprint.
https://hal.inria.fr/hal-01243603 -
44N. Fournier, B. Jourdain.
Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes, July 2015, working paper or preprint.
https://hal-enpc.archives-ouvertes.fr/hal-01171481 -
45C. Geiss, C. Labart.
Simulation of BSDEs with jumps by Wiener Chaos Expansion, February 2015, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01118172 -
46B. Jourdain, J. Reygner.
A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data, July 2015, 112 pages, 10 figures. A list of notations is included.
https://hal-enpc.archives-ouvertes.fr/hal-01100604 -
47B. Jourdain, J. Reygner.
Optimal convergence rate of the multitype sticky particle approximation of one-dimensional diagonal hyperbolic systems with monotonic initial data, November 2015, working paper or preprint.
https://hal-enpc.archives-ouvertes.fr/hal-01171261 -
48A. Kebaier, J. Lelong.
Coupling Importance Sampling and Multilevel Monte Carlo using Sample Average Approximation, October 2015, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01214840
- 49PREMIA: un outil d'évaluation pour les options, NextOption, 2006.
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50M. 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. -
51M. 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. -
52A. 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. -
53H. Amini, R. Cont, A. Minca.
Resilience to Contagion in Financial Networks, in: Mathematical Finance, 2013.
http://dx.doi.org/10.1111/mafi.12051 -
54V. Bally.
An elementary introduction to Malliavin calculus, Inria, Rocquencourt, February 2003, no 4718.
http://hal.inria.fr/inria-00071868 -
55V. 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. -
56D. Bell.
The Malliavin Calculus, Pitman Monographs and Surveys in Pure and Applied Math., Longman and Wiley, 1987, no 34. -
57T. 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. -
58F. Black, M. Scholes.
The pricing of Options and Corporate Liabibilites, in: Journal of Political Economy, 1973, vol. 81, pp. 637-654. -
59J.-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 -
60I. Elsanosi, B. Øksendal, A. Sulem.
Some Solvable Stochastic control Problems with Delay, in: Stochastics and Stochastics Reports, 2000. -
61J. 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. -
62E. 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. -
63E. 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. -
64N. 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. -
65J. Garnier, G. Pananicolaou, T.-W. Yang.
Large deviations for a mean field model of systemic risk, 2012, Manuscript, arXiv:1204.3536. -
66P. 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. -
67Y. Kabanov, M. Safarian.
Markets with Transaction Costs: Mathematical Theory, Springer Verlag, 2009. -
68Y. Kifer.
Game options, in: Finances & Stoahcstics, 2000, vol. 4, pp. 443–463. -
69C. 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. -
70D. Lamberton, B. Lapeyre, A. Sulem.
Application of Malliavin Calculus to Finance, in: special issue of the journal Mathematical Finance, January 2003. -
71P. Malliavin.
Stochastic calculus of variations and hypoelliptic operators, in: Proc. Inter. Symp. on Stoch. Diff. Equations, Kyoto, Wiley 1978, 1976, pp. 195-263. -
72P. Malliavin, A. Thalmaier.
Stochastic Calculus of variations in Mathematical Finance, Springer Finance, Springer Verlag, 2006. -
73A. Minca.
Modélisation mathématique de la contagion de défaut; Mathematical modeling of financial contagion, Université Pierre et Marie Curie, Paris 6, September 5 2011. -
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. -
77N. 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. -
78F. Russo, P. Vallois.
Stochastic calculus with respect to continuous finite quadratic variation processes, in: Stochastics and Stochastics Reports, 2000, vol. 70, pp. 1–40. -
79A. 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. -
80A. Sulem, A. Zanette.
Premia: A Numerical Platform for Pricing Financial Derivatives, in: Ercim News, July 2009, vol. 78. -
81U. 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 -
82B. 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. -
83B. 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. -
84B. Øksendal, A. Sulem.
Optimal stochastic impulse control with delayed reaction, in: Applied Mathematics and Optimization, 2008, vol. 58, pp. 243-255. -
85B. 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.