Regularity of the Itô-Lyons map

Article Properties
Refrences
Title Journal Journal Categories Citations Publication Date
Controlling rough paths Journal of Functional Analysis
  • Science: Mathematics
 298 2004
10.1214/EJP.v11-356
10.1007/978-3-319-08332-2_1
Differential structure and flow equations on rough path space Bulletin des Sciences Mathématiques
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 3 2011
Smoothness of Itô maps and diffusion processes on path spaces (I) Annales Scientifiques de l’École Normale Supérieure
  • Science: Mathematics
 15 2006
Citations
Title Journal Journal Categories Citations Publication Date
Precise Laplace asymptotics for singular stochastic PDEs: The case of 2D gPAM Journal of Functional Analysis
  • Science: Mathematics
 1 2022
A dynamical theory for singular stochastic delay differential equations Ⅱ: nonlinear equations and invariant manifolds Discrete & Continuous Dynamical Systems - B 1 2021
Paracontrolled calculus and regularity structures II Journal de l’École polytechnique — Mathématiques
  • Science: Mathematics
  • Science: Mathematics
 3 2021
Rough integrators on Banach manifolds Bulletin des Sciences Mathématiques
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 3 2019
The non-linear sewing lemma I: weak formulation Electronic Journal of Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
 2019
Citations Analysis
Category Category Repetition
Science: Mathematics5
Science: Mathematics: Probabilities. Mathematical statistics1
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods1
The category Science: Mathematics 5 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Sensitivity of rough differential equations: An approach through the Omega lemma and was published in 2018. The most recent citation comes from a 2022 study titled Precise Laplace asymptotics for singular stochastic PDEs: The case of 2D gPAM. This article reached its peak citation in 2021, with 2 citations. It has been cited in 6 different journals, 16% of which are open access. Among related journals, the Journal of Functional Analysis cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year