%0 Generic %1 burguet2022topological %A Burguet, David %A Shi, Ruxi %D 2022 %K article %T Topological mean dimension of induced systems %U http://arxiv.org/abs/2206.10508 %X For a topological system with positive topological entropy, we show that the induced transformation on the set of probability measures endowed with the weak-$*$ topology has infinite topological mean dimension. We also estimate the rate of divergence of the entropy with respect to the Wasserstein distance when the scale goes to zero.

@misc{burguet2022topological, abstract = {For a topological system with positive topological entropy, we show that the induced transformation on the set of probability measures endowed with the weak-$*$ topology has infinite topological mean dimension. We also estimate the rate of divergence of the entropy with respect to the Wasserstein distance when the scale goes to zero.}, added-at = {2022-06-22T17:13:30.000+0200}, author = {Burguet, David and Shi, Ruxi}, biburl = {https://www.bibsonomy.org/bibtex/2e4208f0c904b1f95146d10bcc1bcf2c4/lacerdagabo}, description = {Topological mean dimension of induced systems}, interhash = {8e75b107ae7f583b9fe70be0791a83aa}, intrahash = {e4208f0c904b1f95146d10bcc1bcf2c4}, keywords = {article}, note = {cite arxiv:2206.10508Comment: 21 pages, 1 figure}, timestamp = {2022-06-22T17:13:30.000+0200}, title = {Topological mean dimension of induced systems}, url = {http://arxiv.org/abs/2206.10508}, year = 2022 }