Bibliography
Major publications by the team in recent years
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1A. 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://arxiv.org/abs/1508.06492.
https://hal-enpc.archives-ouvertes.fr/hal-01188675 -
2A. Alfonsi.
Affine diffusions and related processes: simulation, theory and applications, Bocconi and Springer Series, Mathematics statistics, finance and economics, Springer, 2015. -
3A. Alfonsi, P. Blanc.
Dynamic optimal execution in a mixed-market-impact Hawkes price model, in: Finance and Stochastics, January 2016, https://arxiv.org/abs/1404.0648. [ DOI : 10.1007/s00780-015-0282-y ]
https://hal-enpc.archives-ouvertes.fr/hal-00971369 -
4A. Alfonsi, B. Jourdain, A. Kohatsu-Higa.
Optimal transport bounds between the time-marginals of a multidimensional diffusion and its Euler scheme, in: Electronic Journal of Probability, 2015, https://arxiv.org/abs/1405.7007.
https://hal-enpc.archives-ouvertes.fr/hal-00997301 -
5H. 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 -
6V. Bally, L. Caramellino.
Convergence and regularity of probability laws by using an interpolation method, in: Annals of Probability, 2017, vol. 45, no 2, pp. 1110–1159.
https://hal-upec-upem.archives-ouvertes.fr/hal-01109276 -
7A. 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, https://arxiv.org/abs/1406.6615. [ DOI : 10.1137/140965910 ]
https://hal-upec-upem.archives-ouvertes.fr/hal-00979936 -
8R. Dumitrescu, M.-C. Quenez, A. Sulem.
A Weak Dynamic Programming Principle for Combined Optimal Stopping/Stochastic Control with -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 -
9R. 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 -
10B. Øksendal, A. Sulem.
Applied Stochastic Control of Jump Diffusions, Universitext, Second Edition, Springer, Berlin, Heidelberg, New York, 257 pages 2007, 3rd edition to appear in 2019.
Doctoral Dissertations and Habilitation Theses
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11M. Iben Taarit.
Pricing of XVA adjustments : from expected exposures to wrong-way risks, Université Paris-Est, January 2018.
https://pastel.archives-ouvertes.fr/tel-01939269 -
12G. Terenzi.
Option prices in stochastic volatility models, Université Paris Est - Marne-la-Vallée ; Università di Roma Tor Vergata, December 2018.
https://hal.archives-ouvertes.fr/tel-01961071 -
13A. Zhou.
Theoretical and numerical study of problems nonlinear in the sense of McKean in finance, Université Paris Est, École des Ponts Paris Tech, 6-8 avenue Blaise Pascal, 77455 Marne La Vallée, October 2018.
https://hal.inria.fr/tel-01957638
Articles in International Peer-Reviewed Journals
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14A. Al Gerbi, B. Jourdain, E. Clément.
Asymptotics for the normalized error of the Ninomiya-Victoir scheme, in: Stochastic Processes and their Applications, 2018, vol. 128, no 6, pp. 1889-1928, https://arxiv.org/abs/1601.05268.
https://hal-enpc.archives-ouvertes.fr/hal-01259915 -
15A. Alfonsi, J. Corbetta, B. Jourdain.
Evolution of the Wasserstein distance between the marginals of two Markov processes, in: Bernoulli, 2018, vol. 24, no 4A, pp. 2461-2498, https://arxiv.org/abs/1606.02994 .
https://hal.archives-ouvertes.fr/hal-01390887 -
16V. Bally, L. Caramellino, G. Poly.
Convergence in distribution norms in the CLT for non identical distributed random variables, in: Electronic Journal of Probability, 2018, vol. 23, 51 p, paper 45 https://arxiv.org/abs/1606.01629. [ DOI : 10.1214/18-EJP174 ]
https://hal-upec-upem.archives-ouvertes.fr/hal-01413548 -
17V. Bally, D. Goreac, V. Rabiet.
Regularity and Stability for the Semigroup of Jump Diffusions with State-Dependent Intensity, in: The Annals of Applied Probability : an official journal of the institute of mathematical statistics, August 2018, vol. 28, no 5, pp. 3028 - 3074, https://arxiv.org/abs/1707.02713. [ DOI : 10.1214/18-AAP1382 ]
https://hal.archives-ouvertes.fr/hal-01558741 -
18O. Bencheikh, B. Jourdain.
Bias behaviour and antithetic sampling in mean-field particle approximations of SDEs nonlinear in the sense of McKean, in: ESAIM: Proceedings and Surveys, 2018, https://arxiv.org/abs/1809.06838 - 14 pages.
https://hal.archives-ouvertes.fr/hal-01877002 -
19R. Dumitrescu, M.-C. Quenez, A. Sulem.
American Options in an Imperfect Complete Market with Default, in: ESAIM: Proceedings and Surveys, 2018, pp. 93–110. [ DOI : 10.1051/proc/201864093 ]
https://hal.inria.fr/hal-01614741 -
20R. Dumitrescu, B. Øksendal, A. Sulem.
Stochastic control for mean-field Stochastic Partial Differential Equations with jumps, in: Journal of Optimization Theory and Applications, March 2018, pp. 559-584. [ DOI : 10.1007/s10957-018-1243-3 ]
https://hal.inria.fr/hal-01527225 -
21G. Fort, B. Jourdain, T. Lelièvre, G. Stoltz.
Convergence and efficiency of adaptive importance sampling techniques with partial biasing, in: Journal of Statistical Physics, March 2018, vol. 171, no 2, pp. 220–268, https://arxiv.org/abs/1610.09194. [ DOI : 10.1007/s10955-018-1992-2 ]
https://hal.archives-ouvertes.fr/hal-01389996 -
22L. Goudenège, A. Molent, A. Zanette.
Pricing and hedging GMWB in the Heston and in the Black–Scholes with stochastic interest rate models, in: Computational Management Science, March 2018. [ DOI : 10.1007/s10287-018-0304-2 ]
https://hal.archives-ouvertes.fr/hal-01940715 -
23D. Lamberton.
On the binomial approximation of the American put, in: Applied Mathematics and Optimization, 2018, https://arxiv.org/abs/1802.05614.
https://hal-upec-upem.archives-ouvertes.fr/hal-01709298
Scientific Books (or Scientific Book chapters)
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24R. Dumitrescu, M. Grigorova, M.-C. Quenez, A. Sulem.
BSDEs with default jump, in: Computation and Combinatorics in Dynamics, Stochastics and Control - The Abel Symposium, Rosendal, Norway August 2016, E. Celledoni, G. D. Nunno, K. Ebrahimi-Fard, H. Munthe-Kaas (editors), The Abel Symposia book series, Springer, 2018, vol. 13. [ DOI : 10.1007/978-3-030-01593-0 ]
https://hal.inria.fr/hal-01799335
Other Publications
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25A. Alfonsi, J. Corbetta, B. Jourdain.
Sampling of one-dimensional probability measures in the convex order and computation of robust option price bounds, December 2018, This paper is an updated version of a part of the paper https://hal.archives-ouvertes.fr/hal-01589581 (or https://arxiv.org/pdf/1709.05287.pdf ).
https://hal-enpc.archives-ouvertes.fr/hal-01963507 -
26A. Alfonsi, B. Jourdain.
Lifted and geometric differentiability of the squared quadratic Wasserstein distance, November 2018, working paper or preprint.
https://hal-enpc.archives-ouvertes.fr/hal-01934705 -
27A. Alfonsi, D. Krief, P. Tankov.
Long-time large deviations for the multi-asset Wishart stochastic volatility model and option pricing, December 2018, https://arxiv.org/abs/1806.06883 - working paper or preprint.
https://hal-enpc.archives-ouvertes.fr/hal-01949485 -
28V. Bally.
Upper bounds for the function solution of the homogenuous 2D Boltzmann equation with hard potential, May 2018, https://arxiv.org/abs/1710.00695 - working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01593131 -
29V. 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 -
30L. Goudenège, A. Molent, A. Zanette.
Computing Credit Valuation Adjustment solving coupled PIDEs in the Bates model, September 2018, https://arxiv.org/abs/1809.05328 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01873346 -
31B. Jourdain, W. Margheriti.
A new family of one dimensional martingale couplings, September 2018, https://arxiv.org/abs/1808.01390 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01876809 -
32D. Lamberton, G. Terenzi.
Variational formulation of American option prices in the Heston Model, December 2018, https://arxiv.org/abs/1711.11311 - working paper or preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01649496
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33A. 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 -
34A. 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 -
35A. Alfonsi, P. Blanc.
Extension and calibration of a Hawkes-based optimal execution model, in: Market microstructure and liquidity, August 2016, https://arxiv.org/abs/1506.08740. [ DOI : 10.1142/S2382626616500052 ]
https://hal-enpc.archives-ouvertes.fr/hal-01169686 -
36A. Alfonsi, J. Corbetta, B. Jourdain.
Sampling of probability measures in the convex order and approximation of Martingale Optimal Transport problems, September 2017, preprint.
https://hal.archives-ouvertes.fr/hal-01589581 -
37A. 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.
https://hal-enpc.archives-ouvertes.fr/hal-01670011 -
38A. Alfonsi, A. Kebaier, C. Rey.
Maximum Likelihood Estimation for Wishart processes, in: Stochastic Processes and their Applications, November 2016, https://arxiv.org/abs/1508.03323. [ DOI : 10.1016/j.spa.2016.04.026 ]
https://hal-enpc.archives-ouvertes.fr/hal-01184310 -
39A. Alfonsi, A. Schied, F. Klöck.
Multivariate transient price impact and matrix-valued positive definite functions, in: Mathematics of Operations Research, March 2016, https://arxiv.org/abs/1310.4471. [ DOI : 10.1287/moor.2015.0761 ]
https://hal-enpc.archives-ouvertes.fr/hal-00919895 -
40H. Amini, R. Cont, A. Minca.
Resilience to Contagion in Financial Networks, in: Mathematical Finance, 2013. -
41H. 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 -
42A. Arnold, E. Carlen, Q. Ju.
Large-time behavior of non-symmetric Fokker-Planck type equations, in: Communications on Stochastic Analysis, 2008, vol. 2, no 1, pp. 153-175. -
43R. 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, pp. 1-59, https://arxiv.org/abs/1509.01348. [ DOI : 10.1007/s40072-017-0105-6 ]
https://hal.archives-ouvertes.fr/hal-01192862 -
44V. Bally, L. Caramellino.
Asymptotic development for the CLT in total variation distance, in: Bernoulli, 2016, vol. 22, pp. 2442-2485.
https://hal-upec-upem.archives-ouvertes.fr/hal-01104866 -
45V. 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 -
46V. Bally, L. Caramellino, P. Pigato.
Diffusions under a local strong Hörmander condition. Part I: density estimates, December 2016, preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01413546 -
47V. Bally, L. Caramellino, P. Pigato.
Diffusions under a local strong Hörmander condition. Part II: tube estimates, July 2016, preprint.
https://hal.archives-ouvertes.fr/hal-01407420 -
48V. Bally, L. Caramellino, G. Poly.
Convergence in distribution norms in the CLT for non identical distributed random variables, January 2017, preprint.
https://hal-upec-upem.archives-ouvertes.fr/hal-01413548 -
49V. Bally, L. Caramellino, G. Poly.
Non universality for the variance of the number of real roots of random trigonometric polynomials, 2017, preprint.
https://hal.archives-ouvertes.fr/hal-01634848 -
50V. Bally, A. Kohatsu-Higa.
A probabilistic interpretation of the parametrix method, in: Annals of Applied Probability, 2015, vol. 25, pp. 3095-3138.
https://hal.archives-ouvertes.fr/hal-00926479 -
51V. Bally, V. Rabiet.
Asymptotic behavior for multi-scale PDMP's, April 2015, preprint.
https://hal.archives-ouvertes.fr/hal-01144107 -
52V. Bally, C. Rey.
Approximation of Markov semigroups in total variation distance, in: Electronic Journal of Probability, 2016, vol. 21, no 12.
https://hal-upec-upem.archives-ouvertes.fr/hal-01110015 -
53M. Beiglböck, P.-H. Labordère, F. Penkner.
Model-independent bounds for option prices - a mass transport approach, in: Finance Stoch., 2013, vol. 17, no 3, pp. 477-501. -
54R. 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 -
55Q. Dai, K. J. Singleton.
Specification Analysis of Affine Term Structure Models, in: The Journal of Finance, 2000, vol. 55, no 5, pp. 1943–1978.
http://dx.doi.org/10.1111/0022-1082.00278 -
56D. Duffie, D. Filipović, W. Schachermayer.
Affine processes and applications in finance, in: Ann. Appl. Probab., 2003, vol. 13, no 3, pp. 984–1053.
http://dx.doi.org/10.1214/aoap/1060202833 -
57R. 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://arxiv.org/abs/1406.3612.
https://hal.archives-ouvertes.fr/hal-01006131 -
58R. 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://arxiv.org/abs/1502.02888.
https://hal.archives-ouvertes.fr/hal-01114996 -
59R. 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 -
60R. 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 -
61R. 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 -
62N. El Karoui, V. Lacoste.
Multifactor models of the term structure of interest rates, 1992, Preprint University of Paris 6. -
63A. Figalli.
Existence and uniqueness for martingale solutions of SDEs with rough or degenerate coefficients, in: Journal of Functional Analysis, 2008, vol. 254, pp. 109–153. -
64C. 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 -
65J. 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://arxiv.org/abs/1107.3300.
https://hal.archives-ouvertes.fr/hal-00608977 -
66G. 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 -
67G. Fort, B. Jourdain, E. Kuhn, T. Lelièvre, G. Stoltz.
Efficiency of the Wang-Landau Algorithm: A Simple Test Case, in: Applied Mathematics Research eXpress, 2014, vol. 2014, pp. 275-311. [ DOI : 10.1093/amrx/abu003 ]
https://hal.inria.fr/hal-00721886 -
68G. 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 -
69N. 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 -
70J. Garnier, G. Papanicolaou, T. Yang.
Large deviations for a mean field model of systemic risk, in: SIAM Journal on Financial Mathematics, 2013, vol. 41, no 1, pp. 151–184. -
71J. Guyon, P. Henry-Labordère.
Being particular about calibration, in: Risk, January 2012. -
72Y. 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 -
73B. Jourdain, A. Kebaier.
Non-asymptotic error bounds for The Multilevel Monte Carlo Euler method applied to SDEs with constant diffusion coefficient, August 2017, preprint.
https://hal.archives-ouvertes.fr/hal-01577874 -
74B. 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, https://arxiv.org/abs/1307.0490. [ DOI : 10.1214/EJP.v19-2906 ]
https://hal-enpc.archives-ouvertes.fr/hal-00840185 -
75B. 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, https://arxiv.org/abs/1312.5660. [ DOI : 10.1007/s10436-014-0258-5 ]
https://hal-enpc.archives-ouvertes.fr/hal-00921151 -
76B. 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, https://arxiv.org/abs/1507.01085. [ DOI : 10.3934/dcds.2016015 ]
https://hal-enpc.archives-ouvertes.fr/hal-01171261 -
77B. Jourdain, A. Zhou.
Fake Brownian motion and calibration of a Regime Switching Local Volatility model, July 2016, preprint.
https://hal.archives-ouvertes.fr/hal-01341212 -
78D. Lépingle.
Euler scheme for reflected stochastic differential equations, in: Math. Comput. Simulation, 1995, vol. 38, no 1-3, pp. 119–126, Probabilités numériques (Paris, 1992).
http://dx.doi.org/10.1016/0378-4754(93)E0074-F -
79A. Minca.
Modélisation mathématique de la contagion de défaut; Mathematical modeling of financial contagion, Université Pierre et Marie Curie, Paris 6, September 5 2011. -
80A. 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 -
81S. Ninomiya, N. Victoir.
Weak approximation of stochastic differential equations and application to derivative pricing, in: Applied Mathematical Finance, 2008, vol. 15, pp. 107-121. -
82M.-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://arxiv.org/abs/1212.6744.
https://hal.inria.fr/hal-00773708 -
83B. Øksendal, A. Sulem.
Forward–Backward Stochastic Differential Games and Stochastic Control under Model Uncertainty, in: Journal of Optimization Theory and Applications, April 2014, vol. 161, no 1, pp. 22 - 55. [ DOI : 10.1007/s10957-012-0166-7 ]
https://hal.inria.fr/hal-01681150 -
84B. Øksendal, A. Sulem.
Dynamic Robust Duality in Utility Maximization, in: Applied Mathematics and Optimization, 2016, pp. 1-31.
https://hal.inria.fr/hal-01406663 -
85B. 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, pp. 301–320. [ DOI : 10.1007/978-3-319-23425-0 ]
https://hal.inria.fr/hal-01406649