Articles

Gassiat P., Gess B., Lions P-L., Souganidis P. (2024), Long-time behavior of stochastic Hamilton-Jacobi equations, Journal of Functional Analysis, vol. 286, n°4, p. 110269

Gassiat P., Seeger B. (2024), The Neumann problem for fully nonlinear SPDE, Annals of Applied Probability, vol. 34, n°2, p. 1730-1788

Gassiat P., Klose T. (2024), Gaussian rough paths lifts via complementary young regularity, Electronic Communications in Probability, vol. 29, p. 1-13

Gassiat P., Mądry . (2023), Perturbations of singular fractional SDEs, Stochastic Processes and their Applications, vol. 161, p. 137-172

Gassiat P. (2023), Weak Error Rates of Numerical Schemes for Rough Volatility, SIAM Journal on Financial Mathematics, vol. 14, n°2, p. 475-496

Gassiat P. (2021), Non-uniqueness for reflected rough differential equations, Annales de l'Institut Henri Poincaré, Probabilités et statistiques, vol. 57, n°3, p. 1369-1387

Friz P., Gassiat P., Pigato P. (2021), Precise asymptotics: robust stochastic volatility models, Annals of Applied Probability, vol. 31, n°2, p. 896 - 940

Gassiat P., Oberhauser H., Zou C. (2021), A free boundary characterisation of the Root barrier for Markov processes, Probability Theory and Related Fields, vol. 180, p. 33-69

Friz P., Gassiat P., Pigato P. (2021), Short dated smile under Rough Volatility: asymptotics and numerics, Quantitative Finance

Bayer C., Friz P., Gassiat P., Martin J., Stemper B. (2020), A regularity structure for rough volatility, Mathematical Finance, vol. 30, n°3, p. 782-832

Gassiat P., Labbé C. (2020), Existence of densities for the dynamic Φ43 model, Annales de l'Institut Henri Poincaré, Probabilités et statistiques, vol. 56, n°1, p. 326-373

Gassiat P., Gess B., Lions P-L., Souganidis P. (2020), Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians, Probability Theory and Related Fields, vol. 176, p. 421–448

Gassiat P. (2019), On the martingale property in the rough Bergomi model, Electronic Communications in Probability, vol. 24, p. 9

Gassiat P., Gess B. (2019), Regularization by noise for stochastic Hamilton–Jacobi equations, Probability Theory and Related Fields, vol. 173, n°3-4, p. 1063-1098

Gassiat P. (2017), A stochastic Hamilton–Jacobi equation with infinite speed of propagation, Comptes rendus. Mathématique, vol. 355, n°3, p. 296-298

Friz P., Gassiat P., Lions P-L., Souganidis P. (2017), Eikonal equations and pathwise solutions to fully non-linear SPDEs, Stochastics and Partial Differential Equations: Analysis and Computations, vol. 5, n°2, p. 256-277

Cannizzaro G., Friz P., Gassiat P. (2017), Malliavin calculus for regularity structures: The case of gPAM, Journal of Functional Analysis, vol. 272, n°1, p. 363-419

Diehl J., Friz P., Gassiat P. (2017), Stochastic control with rough paths, Applied Mathematics and Optimization, vol. 75, n°2, p. 285-315

Pham H., Kharroubi I., Gassiat P. (2012), Time discretization and quantization methods for optimal multiple switching problem, Stochastic Processes and their Applications, vol. 122, n°5, p. 2019–2052

Prépublications / Cahiers de recherche

Gassiat P., Suciu F. (2024), A gradient flow on control space with rough initial condition, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 36 p.

Gassiat P., MADRY L. (2024), Zero noise limit for singular ODE regularized by fractional noise, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 32 p.

Gassiat P., Klose T. (2023), Gaussian Rough Paths Lifts via Complementary Young Regularity, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 17 p.

Gassiat P., Madry L. (2022), Perturbations of singular fractional SDEs, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 28 p.

Gassiat P. (2022), Weak error rates of numerical schemes for rough volatility, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 19 p.

Gassiat P., Gess B., Lions P-L., Souganidis P. (2022), Long-time behaviour of stochastic Hamilton-Jacobi equations, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 37 p.

Gassiat P., Seeger B. (2021), The Neumann problem for fully nonlinear SPDE, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 43 p.