Ana Bela Cruzeiro | Academic Influence

Ana Bela Cruzeiro's AcademicInfluence.com Rankings

Ana Bela Cruzeiro

Mathematics

#4790

World Rank

#6782

Historical Rank

Group Theory

#413

World Rank

#478

Historical Rank

Algebra

#597

World Rank

#786

Historical Rank

Measure Theory

#4665

World Rank

#5463

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Ana Bela Cruzeiro's Degrees

PhD Mathematics University of Lisbon
Masters Mathematics University of Porto
Bachelors Mathematics University of Coimbra

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Ana Bela Cruzeiro Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Ana Bela Cruzeiro is a Portuguese and Swiss mathematician whose research concerns stochastic analysis and the Malliavin calculus, as well as the differential equations used to model fluid dynamics and quantum mechanics. She is a professor of mathematics at the Instituto Superior Técnico, part of the University of Lisbon.

(See a Problem?)

Ana Bela Cruzeiro's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Renormalized Differential Geometry on Path Space: Structural Equation, Curvature (1996) (106)
Navier-Stokes Equation and Diffusions on the Group of Homeomorphisms of the Torus (2007) (69)
Malliavin calculus and Euclidean quantum mechanics. I. Functional calculus (1991) (66)
Lagrangian Navier–Stokes diffusions on manifolds: Variational principle and stability (2010) (54)
Stochastic Euler-Poincaré reduction (2012) (45)
Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus (2008) (38)
Flows associated with irregular R d —vector fields (2005) (35)
Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation (2007) (34)
Bernstein Processes Associated with a Markov Process (2000) (33)
Momentum Maps and Stochastic Clebsch Action Principles (2016) (30)
Geometrization of Monte-Carlo numerical analysis of an elliptic operator: strong approximation (2004) (26)
Non perturbative construction of invariant measure through confinement by curvature (1998) (24)
Flows Associated to Tangent Processes on the Wiener Space (1999) (24)
An entropic interpolation problem for incompressible viscous fluids (2017) (18)
Generalized stochastic Lagrangian paths for the Navier-Stokes equation (2015) (17)
Stochastic Variational Principles for Dissipative Equations with Advected Quantities (2015) (17)
Frame Bundle of Riemannian Path Space and Ricci Tensor in Adapted Differential Geometry (2000) (17)
AnL2Estimate for Riemannian Anticipative Stochastic Integrals (1997) (15)
Weak Levi-Civita Connection for the Damped Metric on the Riemannian Path Space and Vanishing of Ricci Tensor in Adapted Differential Geometry (2001) (14)
Stochastic Approaches to Deterministic Fluid Dynamics: A Selective Review (2020) (13)
Nonergodicity of Euler fluid dynamics on tori versus positivity of the Arnold-Ricci tensor (2008) (13)
Generalized stochastic flows and applications to incompressible viscous fluids (2012) (11)
Malliavin Calculus and Euclidean Quantum Mechanics II. Variational Principle for Infinite Dimensional Processes (1995) (11)
Lagrangian Navier–Stokes flows: a stochastic model (2011) (11)
Backward Stochastic Differential Equations Associated with the Vorticity Equations (2013) (10)
Stochastic Lagrangian Flows and the Navier–Stokes Equations (2015) (10)
A class of anticipative tangent processes on the Wiener space (2001) (9)
On a 2D stochastic Euler equation of transport type: existence and geometric formulation (2013) (8)
Feynman’s Functional Calculus and Stochastic Calculus of Variations (1991) (7)
Stochastic Calculus of Variations on complex line bundle and construction of unitarizing measures for the Poincaré disk (2009) (7)
Stochastic Lagrangian flows on some compact manifolds (2012) (6)
Hydrodynamics, Probability and the Geometry of the Diffeomorphisms Group (2008) (6)
Ornstein-Uhlenbeck Processes as Bernstein Processes (1993) (6)
Weak calculus of variations for functionals of laws of semi-martingales (2015) (6)
A Weitzenböck formula for the damped Ornstein–Uhlenbeck operator in adapted differential geometry (2001) (6)
Stochastic geodesics and forward-backward stochastic differential equations on Lie groups (2013) (6)
Energy Identities and Estimates for Anticipative Stochastic Integrals on a Riemannian Manifold (1998) (6)
Stochastic calculus of variations and Harnack inequality on Riemannian path spaces (2002) (5)
Navier-Stokes equation and forward-backward stochastic differential system in the Besov spaces (2013) (4)
Monte-Carlo simulation of stochastic differential systems — a geometrical approach (2008) (4)
On a Forward-backward Stochastic System Associated to the Burgers Equation (2010) (4)
Symmetries and martingales in a stochastic model for the Navier-Stokes equation (2016) (4)
Bernstein Diffusions and Euclidean Quantum Field Theory (1995) (4)
Invariant Measure for a Wave Equation on a Riemannian Manifold (1997) (4)
Barrier option pricing under the 2-hypergeometric stochastic volatility model (2016) (4)
Finite dimensional approximation of Riemannian path space geometry (2003) (4)
Bismut Type Formulae for Diffusion Semigroups on Riemannian Manifolds (2006) (4)
A stochastic variational approach to the viscous Camassa-Holm and Leray-alpha equations (2015) (4)
Asymptotic properties of coupled forward–backward stochastic differential equations (2012) (4)
Invariant measures for the non-periodic two-dimensional Euler equation (2016) (4)
Momentum Maps and Stochastic Clebsch Action Principles (2017) (4)
Non-existence of infinitesimally invariant measures on loop groups (2008) (3)
On the Stochastic Least Action Principle for the Navier-Stokes Equation (2014) (3)
Navier-Stokes and stochastic Navier-Stokes equations via Lagrange multipliers. (2018) (3)
Stochastic analysis in mathematical physics (2007) (3)
An intrinsic calculus of variations for functionals of laws of semi-martingales (2019) (3)
Numerical approximation of diffusions in Rd using normal charts of a Riemannian manifold (2006) (3)
Ground state estimations in gauge theory (2001) (2)
Stochastic Geometric Mechanics (2017) (2)
Renormalized stochastic calculus of variations for a renormalized infinite-dimensional Brownian motion (2009) (2)
A stochastic variational approach to the viscous Camassa-Holm and related equations (2015) (2)
Forward-Backward Stochastic Differential Equations Generated by Bernstein Diffusions (2015) (2)
Time-symmetric optimal stochastic control problems in space-time domains (2020) (2)
Stochastic evolution of inviscid Burger fluid (2008) (2)
Lp-gradient Estimates of Symmetric Markov Semigroups for 1 < p ≤ 2 (2006) (1)
Mathematical analysis of random phenomena : proceedings of the International Conference, Hammamet, Tunisia, 12-17 September, 2005 (2007) (1)
On a 2D stochastic Euler equation of transport type: existence and energy transfer (2013) (1)
Stochastic Analysis and Applications: Proceedings of the 1989 Lisbon Conference (1992) (1)
Generalized Navier-Stokes flows and applications to incompressible viscous fluids (2012) (1)
Generalized Navier-Stokes flows (2012) (1)
VARIATIONAL PRINCIPLE FOR DIFFUSIONS ON THE DIFFEOMORPHISM GROUP WITH THE H2 METRIC (2007) (1)
Riemannian Geometry on the Path Space (2002) (1)
Corrigendum to "Nonergodicity of Euler fluid dynamics on tori versus positivity of the Arnold-Ricci tensor" (J. Funct. Anal. 254 (7) (2008) 1903-1925) (2009) (1)
Stochastic parallel transport on the d-dimensional Torus (2007) (1)
A Littlewood-Paley Type Inequality on the Path Space (2004) (1)
On a non-periodic modified Euler equation: existence and quasi-invariant measures (2017) (1)
On the well-posedness of a Hamilton-Jacobi-Bellman equation with transport noise (2022) (0)
A stochastic variational approach to viscous Burgers equations (2016) (0)
On Metrics for Tangent Processes on the Path Space (2003) (0)
Ornstein-Uhlenbeck semigroups on Riemannian path spaces (2004) (0)
STOCHASTIC GEODESICS AND STOCHASTIC BACKWARD EQUATIONS ON LIE GROUPS (2012) (0)
Stochastic Analysis and Applications (1991) (0)
The Navier-Stokes equations and forward-backward SDEs on the group of volume-preserving diffeomorphisms of a flat torus (2008) (0)
CONSTRUCTION OF SOME PROCESSES ON THE WIENER SPACE ASSOCIATED TO SECOND ORDER OPERATORS (2001) (0)
Forward-backward stochastic differential equations on tensor fields and application to Navier-Stokes equations on Riemannian manifolds (2023) (0)
Session Probability on Riemannian Manifolds (chaired by Marc Arnaudon, Ana Bela Cruzeiro) (2017) (0)
Invariant' measures in hydrodynamic systems with random perturbations (1990) (0)
Some probabilistic estimates of heat kernel derivatives and applications (2005) (0)
Stochastic calculus of variations for the diffeomorphisms group (2011) (0)
Forward Backward Stochastic Differential Equations - Asymptotics and a Large Deviations Principle (2012) (0)
Stochastic Geodesics (2020) (0)
A stochastic variational approach to viscous Burgers equations (2016) (0)
Stochastic Euler-Poincar\'e reduction (2012) (0)
On a Non-Periodic Modified Euler Equation: Well-Posedness and Quasi-Invariant Measures (2020) (0)
Pathwise stochastic control and a class of stochastic partial differential equations (2023) (0)
Forward-backward systems of stochastic differential equations generated by Bernstein diffusions (2013) (0)
NON ADAPTED TRANSFORMATIONS OF THE WIENER MEASURE (2004) (0)
Gibbs-type measures for the non-periodic two-dimensional Euler equation (2016) (0)
On a Non-Periodic Modified Euler Equation: Well-Posedness and Quasi-Invariant Measures (2020) (0)
PR ] 3 0 M ay 2 01 3 ON A 2 D STOCHASTIC EULER EQUATION OF TRANSPORT TYPE : EXISTENCE AND ENERGY TRANSFER (2013) (0)
Navier-Stokes equations and forward-backward SDEs on the group of volume-preserving diffeomorphisms (2008) (0)

This paper list is powered by the following services:

Other Resources About Ana Bela Cruzeiro

en.wikipedia.org

What Schools Are Affiliated With Ana Bela Cruzeiro?

Ana Bela Cruzeiro is affiliated with the following schools: