Kittle, Samuel;
(2025)
Absolutely continuous Furstenberg measures.
Proceedings of the London Mathematical Society
, 131
(1)
, Article e70072. 10.1112/plms.70072.
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Abstract
In this paper, we provide a sufficient condition for a Furstenberg measure generated by a finitely supported measure to be absolutely continuous. Using this, we give completely explicit examples of absolutely continuous Furstenberg measures including examples which are generated by measures which are not symmetric.
| Type: | Article |
|---|---|
| Title: | Absolutely continuous Furstenberg measures |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1112/plms.70072 |
| Publisher version: | https://doi.org/10.1112/plms.70072 |
| Language: | English |
| Additional information: | © 2025 The Author(s). Proceedings of the London Mathematical Society is copyright © London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. |
| Keywords: | Physical Sciences, Mathematics, SELF-SIMILAR MEASURES, SPECTRAL GAP, PRODUCTS |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10212713 |
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