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The Choquet-Deny theorem and distal properties of totally disconnected locally compact groups of polynomial growth.

Jaworski, Wojciech; Raja, C. Robinson Edward — 2007

The New York Journal of Mathematics [electronic only]

On heredity of strongly proximal actions

C. Robinson Edward Raja — 2003

Archivum Mathematicum

We prove that action of a semigroup $T$ on compact metric space $X$ by continuous selfmaps is strongly proximal if and only if $T$ action on $𝒫 (X)$ is strongly proximal. As a consequence we prove that affine actions on certain compact convex subsets of finite-dimensional vector spaces are strongly proximal if and only if the action is proximal.

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