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Backward Itô-Ventzell and stochastic interpolation formulae
hal.structure.identifier | Méthodes avancées d’apprentissage statistique et de contrôle [ASTRAL] | |
dc.contributor.author | DEL MORAL, Pierre | |
hal.structure.identifier | Department of Engineering [Cambridge] | |
dc.contributor.author | SINGH, Sumeetpal Sidhu | |
dc.date.accessioned | 2024-04-04T02:46:34Z | |
dc.date.available | 2024-04-04T02:46:34Z | |
dc.date.issued | 2019-06-21 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191565 | |
dc.description.abstractEn | We present a novel backward Itô-Ventzell formula and an extension of the Aleeksev-Gr\"obner interpolating formula to stochastic flows. We also present some natural spectral conditions that yield direct and simple proofs of time uniform estimates of the difference between the two stochastic flows when their drift and diffusion functions are not the same, yielding what seems to be the first results of this type for this class of anticipative models. We illustrate the impact of these results in the context of diffusion perturbation theory, interacting diffusions and discrete time approximations | |
dc.language.iso | en | |
dc.subject.en | Bismut-Elworthy-Li formulae Mathematics Subject Classification : 47D07 | |
dc.subject.en | backward Itô-Ventzell formula | |
dc.subject.en | Perturbation semigroups | |
dc.subject.en | Malliavin differential | |
dc.subject.en | Bismut-Elworthy-Li formulae | |
dc.subject.en | Skorohod stochastic integral | |
dc.subject.en | Tangent and Hessian processes | |
dc.subject.en | Aleeksev-Gröbner lemma | |
dc.subject.en | variational equations | |
dc.subject.en | tangent and Hessian processes | |
dc.subject.en | perturba- tion semigroups | |
dc.subject.en | Variational equations | |
dc.subject.en | Stochastic flows | |
dc.subject.en | Backward Itô-Ventzell formula | |
dc.subject.en | 93E15 | |
dc.subject.en | 60H07 | |
dc.title.en | Backward Itô-Ventzell and stochastic interpolation formulae | |
dc.type | Rapport | |
dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
dc.identifier.arxiv | 1906.09145 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.type.institution | INRIA | |
bordeaux.type.report | rr | |
hal.identifier | hal-02161914 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-02161914v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2019-06-21&rft.au=DEL%20MORAL,%20Pierre&SINGH,%20Sumeetpal%20Sidhu&rft.genre=unknown |
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