Fold maps associated to geodesic random walks on non-positively curved manifolds

DOI10.14492/hokmj/2020-439zbMath1528.57023arXiv2003.07255MaRDI QIDQ6116801

Lucas S. Oliveira, Pablo Lessa

Publication date: 18 July 2023

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07255

zbMATH Keywords

spherical mean operatorfold mapsgeodesic random walk

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Geodesics in global differential geometry (53C22) Singularities of differentiable mappings in differential topology (57R45)

Cites Work

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• On a regularity problem occurring in connection with Anosov diffeomorphisms
• Notes on the topology of folds
• Spherical means on Riemannian manifolds
• Rapid mixing of geodesic walks on manifolds with positive curvature
• The spherical mean value operator for compact symmetric spaces
• Obstructions to the existence of fold maps
• Spherical Means and Geodesic Chains on a Riemannian Manifold
• Riemannian Geometry
• A numerical approach to some basic theorems in singularity theory
• Sampling from a Manifold
• Noncommuting Random Products

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