Fabrice Baudoin

Professor

University of Connecticut

United States

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Fabrice Baudoin is a Professor at the University of Connecticut, specializing in areas such as sub-Riemannian geometry, functional inequalities, and stochastic processes. His recent research includes topics like Cheeger spaces, H-type manifolds, and the analysis of fractional Gaussian fields. Additionally, he has contributed to the study of heat kernel estimates and oscillations on fractals. With a strong focus on advanced mathematical concepts, Baudoin's work enriches the understanding of complex systems and their properties.

Fabrice Baudoin

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Articles (19)

Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise

Comparison theorems on H-type sub-Riemannian manifolds

Korevaar–Schoen p-energies and their Γ-limits on Cheeger spaces

Heat kernel gradient estimates for the Vicsek set

Korevaar–Schoen–Sobolev spaces and critical exponents in metric measure spaces

Parabolic Anderson model on Heisenberg groups: The Itô setting

Quasi-Invariance for Infinite-Dimensional Kolmogorov Diffusions

Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations

Generalized Stochastic Areas, Winding Numbers, and Hyperbolic Stiefel Fibrations

BV FUNCTIONS AND FRACTIONAL LAPLACIANS ON DIRICHLET SPACES

Oscillations of BV measures on unbounded nested fractals

A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations

A note on first eigenvalue estimates by coupling methods in Kähler and quaternion Kähler manifolds

A note on second order Riesz transforms in 3-dimensional Lie groups

Brownian Motions and Heat Kernel Lower Bounds on Kähler and Quaternion Kähler Manifolds

Fractional Gaussian fields on the Sierpiński Gasket and related fractals

H-type foliations

Sobolev spaces and Poincaré inequalities on the Vicsek fractal,Sobolev spaces and Poincaré inequalities on the Vicsek fractal

Multiplier theorems via martingale transforms

Collaborators (6)

Erlend Grong

Tai Melcher

Maria Gordina

Luca Rizzi

David Herzog

Li Chen

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