| Renormalized differential geometry on path space: structural equation, curvature AB Cruzeiro, P Malliavin journal of functional analysis 139 (1), 119-181, 1996 | 128 | 1996 |
| Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids S Albeverio, AB Cruzeiro Communications in mathematical physics 129 (3), 431-444, 1990 | 117 | 1990 |
| Équations différentielles sur l'espace de Wiener et formules de Cameron-Martin non-linéaires AB Cruzeiro Journal of functional analysis 54 (2), 206-227, 1983 | 112 | 1983 |
| Malliavin calculus and Euclidean quantum mechanics. I. Functional calculus AB Cruzeiro, JC Zambrini Journal of Functional Analysis 96 (1), 62-95, 1991 | 88 | 1991 |
| Navier-Stokes equation and diffusions on the group of homeomorphisms of the torus F Cipriano, AB Cruzeiro Communications in Mathematical Physics 275 (1), 255-269, 2007 | 55 | 2007 |
| Solutions et mesures invariantes pour des équations d'évolution stochastiques du type Navier-Stokes AB Cruzeiro | 45 | 1987 |
| Équations différentielles ordinaires: non explosion et mesures quasi-invariantes AB Cruzeiro Journal of functional analysis 54 (2), 193-205, 1983 | 43 | 1983 |
| Lagrangian Navier–Stokes diffusions on manifolds: variational principle and stability M Arnaudon, AB Cruzeiro Bulletin des Sciences Mathématiques 136 (8), 857-881, 2012 | 37 | 2012 |
| Flows associated with irregular Rd—vector fields F Cipriano, AB Cruzeiro Journal of Differential Equations 219 (1), 183-201, 2005 | 37 | 2005 |
| Unicité de solutions d'équations différentielles sur l'espace de Wiener AB Cruzeiro Journal of functional analysis 58 (3), 335-347, 1984 | 33 | 1984 |
| Navier–Stokes equations and forward–backward SDEs on the group of diffeomorphisms of a torus AB Cruzeiro, E Shamarova Stochastic processes and their applications 119 (12), 4034-4060, 2009 | 32 | 2009 |
| Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation AB Cruzeiro, F Flandoli, P Malliavin Journal of Functional Analysis 242 (1), 304-326, 2007 | 29 | 2007 |
| Bernstein processes associated with a Markov process AB Cruzeiro, L Wu, JC Zambrini Stochastic Analysis and Mathematical Physics, 41-72, 2000 | 28 | 2000 |
| Non perturbative construction of invariant measure through confinement by curvature AB Cruzeiro, P Malliavin Journal de mathématiques pures et appliquées 77 (6), 527-537, 1998 | 27 | 1998 |
| Stochastic euler-poincaré reduction M Arnaudon, X Chen, AB Cruzeiro Journal of Mathematical Physics 55 (8), 081507, 2014 | 24 | 2014 |
| Geometrization of Monte-Carlo numerical analysis of an elliptic operator: strong approximation AB Cruzeiro, P Malliavin, A Thalmaier Comptes Rendus. Mathématique 338 (6), 481-486, 2004 | 24 | 2004 |
| Flows associated to tangent processes on the Wiener space F Cipriano, AB Cruzeiro Journal of functional analysis 166 (2), 310-331, 1999 | 21 | 1999 |
| Repère mobile et géométrie riemanienne sur les espaces des chemins AB Cruzeiro, P Malliavin Comptes Rendus de l'Academie des Sciences-Serie I-Mathematique 319 (8), 859-864, 1994 | 19 | 1994 |
| Frame bundle of Riemannian path space and Ricci tensor in adapted differential geometry AB Cruzeiro, P Malliavin Journal of Functional Analysis 177 (1), 219-253, 2000 | 16 | 2000 |
| AnL2Estimate for Riemannian Anticipative Stochastic Integrals AB Cruzeiro, S Fang journal of functional analysis 143 (2), 400-414, 1997 | 14 | 1997 |