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.
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.
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.
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
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19A. Ahdida, A. Alfonsi, E. Palidda.
Smile with the Gaussian term structure model, in: Journal of Computational Finance, 2017, https://arxiv.org/abs/1412.7412.
https://hal.archives-ouvertes.fr/hal-01098554 -
20A. Al Gerbi, B. Jourdain, E. Clément.
Asymptotics for the normalized error of the Ninomiya-Victoir scheme, in: Stochastic Processes and their Applications, September 2017, https://arxiv.org/abs/1601.05268.
https://hal-enpc.archives-ouvertes.fr/hal-01259915 -
21A. Al Gerbi, B. Jourdain, E. Clément.
Ninomiya-Victoir scheme : Multilevel Monte-Carlo estimators and discretization of the involved Ordinary Differential Equations, in: ESAIM: Proceedings and Surveys, November 2017, vol. 59, pp. 1-14, https://arxiv.org/abs/1612.07017.
https://hal.archives-ouvertes.fr/hal-01421337 -
22H. Amini, A. Minca, A. Sulem.
Optimal equity infusions in interbank networks, in: Journal of Financial Stability, August 2017, vol. 31, pp. 1 - 17. [ DOI : 10.1016/j.jfs.2017.05.008 ]
https://hal.inria.fr/hal-01614759 -
23R. Assaraf, B. Jourdain, T. Lelièvre, R. Roux.
Computation of sensitivities for the invariant measure of a parameter dependent diffusion, in: Stochastics and Partial Differential Equations: Analysis and Computations, October 2017, https://arxiv.org/abs/1509.01348. [ DOI : 10.1007/s40072-017-0105-6 ]
https://hal.archives-ouvertes.fr/hal-01192862 -
24V. Bally, L. Caramellino.
Convergence and regularity of probability laws by using an interpolation method, in: Annals of Probability, 2017, vol. 45, no 2.
https://hal-upec-upem.archives-ouvertes.fr/hal-01109276 -
25V. Bally, L. Caramellino.
Regularity of Wiener functionals under a Hörmander type condition of order one, in: Annals of Probability, 2017, vol. 45, no 3, pp. 1488-1511.
https://hal-upec-upem.archives-ouvertes.fr/hal-01413556 -
26M. Briani, L. Caramellino, A. Zanette.
A hybrid approach for the implementation of the Heston model., in: IMA Journal of Management Mathematics, October 2017, vol. 28, no 4, pp. 467-500, https://arxiv.org/abs/1307.7178. [ DOI : 10.1093/imaman/dpv032 ]
https://hal.archives-ouvertes.fr/hal-00916440 -
27R. Chen, A. Minca, A. Sulem.
Optimal connectivity for a large financial network, in: ESAIM: Proceedings and Surveys, 2017, vol. 59, pp. 43 - 55, Editors : B. Bouchard, E. Gobet and B. Jourdain.
https://hal.inria.fr/hal-01618701 -
28R. Dumitrescu, M.-C. Quenez, A. Sulem.
American Options in an Imperfect Complete Market with Default, in: ESAIM: Proceedings and Surveys, 2017, pp. 1 - 10, forthcoming.
https://hal.inria.fr/hal-01614741 -
29R. Dumitrescu, M.-C. Quenez, A. Sulem.
Game Options in an Imperfect Market with Default, in: SIAM Journal on Financial Mathematics, January 2017, vol. 8, no 1, pp. 532 - 559. [ DOI : 10.1137/16M1109102 ]
https://hal.inria.fr/hal-01614758 -
30G. Fort, B. Jourdain, T. Lelièvre, G. Stoltz.
Self-Healing Umbrella Sampling: Convergence and efficiency, in: Statistics and Computing, January 2017, vol. 27, no 1, pp. 147–168, https://arxiv.org/abs/1410.2109. [ DOI : 10.1007/s11222-015-9613-2 ]
https://hal.archives-ouvertes.fr/hal-01073201 -
31N. Fournier, B. Jourdain.
Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes, in: The Annals of Applied Probability : an official journal of the institute of mathematical statistics, November 2017, vol. 27, no 5, pp. 2807-2861, https://arxiv.org/abs/1507.01087.
https://hal-enpc.archives-ouvertes.fr/hal-01171481 -
32M. Gaudenzi, A. Zanette.
Fast binomial procedures for pricing Parisian/ParAsian options, in: Computational Management Science, 2017, vol. 14, no 3, pp. 313-331. [ DOI : 10.1007/s10287-017-0278-5 ]
https://hal.archives-ouvertes.fr/hal-01632859 -
33Y. Hu, B. Øksendal, A. Sulem.
Singular mean-field control games, in: Stochastic Analysis and Applications, June 2017, vol. 35, no 5, pp. 823 - 851. [ DOI : 10.1080/07362994.2017.1325745 ]
https://hal.inria.fr/hal-01614747 -
34B. Lapeyre, E. Quinet.
A Simple GDP-based Model for Public Investments at Risk, in: Journal of Benefit-Cost Analysis, 2017, vol. 8, no 01, pp. 91 - 114. [ DOI : 10.1017/bca.2017.5 ]
https://hal.archives-ouvertes.fr/hal-01666574
Scientific Books (or Scientific Book chapters)
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35A. Alfonsi, M. Hayashi, A. Kohatsu-Higa.
Parametrix Methods for One-Dimensional Reflected SDEs, in: Modern Problems of Stochastic Analysis and StatisticsSelected Contributions In Honor of Valentin Konakov, Springer, November 2017, vol. Springer Proceedings in Mathematics & Statistics, no 208. [ DOI : 10.1007/978-3-319-65313-6_3 ]
https://hal-enpc.archives-ouvertes.fr/hal-01670011
Other Publications
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36A. Alfonsi, J. Corbetta, B. Jourdain.
Sampling of probability measures in the convex order and approximation of Martingale Optimal Transport problems, September 2017, https://arxiv.org/abs/1709.05287 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01589581 -
37V. Bally.
Upper bounds for the function solution of the homogenuous 2D Bolzmann equation with hard potential, September 2017, https://arxiv.org/abs/1710.00695 - working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01593131 -
38V. Bally, L. Caramellino.
Convergence and regularity of probability laws by using an interpolation method, January 2018, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01677407 -
39V. Bally, L. Caramellino, G. Poly.
Convergence in distribution norms in the CLT for non identical distributed random variables, January 2017, https://arxiv.org/abs/1606.01629 - working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01413548 -
40V. Bally, L. Caramellino, G. Poly.
Non universality for the variance of the number of real roots of random trigonometric polynomials, 2017, https://arxiv.org/abs/1711.03316 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01634848 -
41V. Bally, D. Goreac, V. Rabiet.
Regularity and Stability for the Semigroup of Jump Diffusions with State-Dependent Intensity, July 2017, https://arxiv.org/abs/1707.02713 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01558741 -
42R. Dumitrescu, B. Øksendal, A. Sulem.
Stochastic control of mean-field SPDEs with jumps, May 2017, working paper or preprint.
https://hal.inria.fr/hal-01527225 -
43M. Iben Taarit, B. Lapeyre.
A Forward Solution for Computing Risk-Neutral Derivatives Exposure, December 2017, working paper or preprint. [ DOI : 10.2139/ssrn.2353308 ]
https://hal.archives-ouvertes.fr/hal-01667100 -
44B. Jourdain, A. Kebaier.
Non-asymptotic error bounds for The Multilevel Monte Carlo Euler method applied to SDEs with constant diffusion coefficient, August 2017, https://arxiv.org/abs/1708.07064 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01577874 -
45A. Kebaier, J. Lelong.
Coupling Importance Sampling and Multilevel Monte Carlo using Sample Average Approximation, July 2017, https://arxiv.org/abs/1510.03590 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01214840
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46M. 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. -
47M. 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. -
48A. 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. -
49H. Amini, R. Cont, A. Minca.
Resilience to Contagion in Financial Networks, in: Mathematical Finance, 2013. -
50V. Bally.
An elementary introduction to Malliavin calculus, Inria, Rocquencourt, February 2003, no 4718.
http://hal.inria.fr/inria-00071868 -
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. -
55I. Elsanosi, B. Øksendal, A. Sulem.
Some Solvable Stochastic control Problems with Delay, in: Stochastics and Stochastics Reports, 2000. -
56E. 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. -
57E. 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. -
58N. 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. -
59J. Garnier, G. Pananicolaou, T.-W. Yang.
Large deviations for a mean field model of systemic risk, 2012, Manuscript, arXiv:1204.3536. -
60P. 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. -
61Y. Kabanov, M. Safarian.
Markets with Transaction Costs: Mathematical Theory, Springer Verlag, 2009. -
62D. Lamberton, B. Lapeyre, A. Sulem.
Application of Malliavin Calculus to Finance, in: special issue of the journal Mathematical Finance, January 2003. -
63P. Malliavin.
Stochastic calculus of variations and hypoelliptic operators, in: Proc. Inter. Symp. on Stoch. Diff. Equations, Kyoto, Wiley 1978, 1976, pp. 195-263. -
64P. Malliavin, A. Thalmaier.
Stochastic Calculus of variations in Mathematical Finance, Springer Finance, Springer Verlag, 2006. -
65A. Minca.
Modélisation mathématique de la contagion de défaut; Mathematical modeling of financial contagion, Université Pierre et Marie Curie, Paris 6, September 5 2011. -
66D. Nualart.
The Malliavin Calculus and Related Topics, Springer–Verlag, 1995. -
67D. Ocone, I. Karatzas.
A generalized representation formula with application to optimal portfolios, in: Stochastics and Stochastic Reports, 1991, vol. 34, pp. 187-220. -
68D. 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. -
69F. Russo, P. Vallois.
Stochastic calculus with respect to continuous finite quadratic variation processes, in: Stochastics and Stochastics Reports, 2000, vol. 70, pp. 1–40. -
70A. 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. -
71U. Çetin, R. Jarrow, P. Protter.
Liquidity risk and arbitrage pricing theory, in: Finance and Stochastics, 2004, vol. 8. -
72B. 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. -
73B. 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. -
74B. Øksendal, A. Sulem.
Optimal stochastic impulse control with delayed reaction, in: Applied Mathematics and Optimization, 2008, vol. 58, pp. 243-255. -
75B. 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.