• openAccess   A note on the p-parabolicity of submanifolds 

      Hurtado, Ana; Palmer Andreu, Vicente Springer Science+Business Media B.V. (2011)
      We give a geometric criterion which shows p-parabolicity of a class of submanifolds in a Riemannian manifold, with controlled second fundamental form, for p ≥ 2.
    • openAccess   Comparison of exit moment spectra for extrinsic metric balls 

      Hurtado, Ana; Markvorsen, Steen; Palmer Andreu, Vicente Springer Science+Business Media B.V. (2012)
      We prove explicit upper and lower bounds for the L1-moment spectra for the Brownian motion exit time from extrinsic metric balls of submanifolds Pm in ambient Riemannian spaces Nn. We assume that P and N both have ...
    • openAccess   Comparison results for capacity 

      Hurtado, Ana; Palmer Andreu, Vicente; Ritoré, Manuel Indiana University Mathematics Journal (2012)
      We obtain in this paper bounds for the capacity of a compact set $K$. If $K$ is contained in an $(n+1)$-dimensional Cartan-Hadamard manifold, has smooth boundary, and the principal curvatures of $\partial K$ are larger ...
    • openAccess   Estimates of the first Dirichlet eigenvalue from exit time moment spectra 

      Hurtado, Ana; Markvorsen, Steen; Palmer Andreu, Vicente Springer Verlag (2016)
      We compute the first Dirichlet eigenvalue of a geodesic ball in a rotationally symmetric model space in terms of the moment spectrum for the Brownian motion exit times from the ball. As an application of the model space ...
    • openAccess   Parabolicity criteria and characterization results for submanifoldsof bounded mean curvature in model manifolds with weights 

      Hurtado, Ana; Palmer Andreu, Vicente; Rosales, César Elsevier (2020)
      Let P be a submanifold properly immersed in a rotationally symmetric manifold having a pole and endowed with a weight e h. The aim of this paper is twofold. First, by assuming certain control on the h-mean curvature of ...