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math.DS2025
Approximation by invariant Dirac measures on non-positively curved manifolds
Paul Mella
We study the topology of the space of probability measures invariant under the geodesic flow, defined on the unit-tangent bundle of a compact Riemannian manifold with non-positive…
math.DS2025
A new condition for the genericity of ergodic measures on Riemannian manifolds
Paul Mella
This article investigates the genericity of ergodic probability measures for the geodesic flow on Riemannian manifolds. We demonstrate that if the metric splits as a product metric…