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math.DG2024
Martin boundaries of diffusions and random walks on hyperbolic spaces
Werner Ballmann, Debanjan Nandi, Panagiotis Polymerakis
We discuss certain kinds of diffusions on hyperbolic spaces, associated random walks on discrete groups of isometries of the latter, and their Martin boundaries.
math.DG2024
Large Steklov eigenvalues under volume constraints
Alexandre Girouard, Panagiotis Polymerakis
In this note we establish an expression for the Steklov spectrum of warped products in terms of auxiliary Steklov problems for drift Laplacians with weight induced by the warping f…