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Carlo Beenakker
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This random walk is known in the literature as the "geodesic random walk". For a manifold with positive curvature, theorems 1 and 4 of arXiv:1609.02901 prove that the uniform measure on the manifold is the unique stationary distribution of the geodesic walk.

This random walk is known in the literature as the "geodesic walk". For a manifold with positive curvature, theorems 1 and 4 of arXiv:1609.02901 prove that the uniform measure on the manifold is the unique stationary distribution of the geodesic walk.

This random walk is known in the literature as the "geodesic random walk". For a manifold with positive curvature, theorems 1 and 4 of arXiv:1609.02901 prove that the uniform measure on the manifold is the unique stationary distribution of the geodesic walk.

Source Link
Carlo Beenakker
  • 188.1k
  • 18
  • 448
  • 651

This random walk is known in the literature as the "geodesic walk". For a manifold with positive curvature, theorems 1 and 4 of arXiv:1609.02901 prove that the uniform measure on the manifold is the unique stationary distribution of the geodesic walk.