P. Michor

activity

19922026

most citedConnections on central bimodules

145 citations · 1.3k across the 104 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.DG2014★ 10 cited

Uniqueness of the Fisher-Rao metric on the space of smooth densities

Martin Bauer, Martins Bruveris, Peter W. Michor

On a closed manifold of dimension greater than one, every smooth weak Riemannian metric on the space of smooth positive probability densities, that is invariant under the action of…

math.FA2014★ 4 cited

The exponential law for spaces of test functions and diffeomorphism groups

Andreas Kriegl, Peter W. Michor, Armin Rainer

We prove the exponential law $A (E \times F, G) ≅ A (E, A (F, G))$ (bornological isomorphism) for the following classes $A$ of test functions: $\…

math.DG2014★ 19 cited

An exotic zoo of diffeomorphism groups on $R^{n}$

Andreas Kriegl, Peter W. Michor, Armin Rainer

Let $C^{[M]}$ be a (local) Denjoy-Carleman class of Beurling or Roumieu type, where the weight sequence $M = (M_{k})$ is log-convex and has moderate growth. We prove that the groups ${…

Uniqueness of the Fisher-Rao metric on the space of smooth densities

The exponential law for spaces of test functions and diffeomorphism groups

An exotic zoo of diffeomorphism groups on Rn

An exotic zoo of diffeomorphism groups on $R^{n}$