Mester, Péter (2023) A factor of i.i.d. with uniform marginals and infinite clusters spanned by equal labels. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 43 (11). pp. 3707-3725. ISSN 0143-3857
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Official URL: https://doi.org/10.1017/etds.2022.14
Abstract
We give an example of an FIID vertex-labeling of T-3 whose marginals are uniform on [0, 1], and if we delete the edges between those vertices whose labels are different, then some of the remaining clusters are infinite. We also show that no such process can be finitary.
| Item Type: | Article |
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| Uncontrolled Keywords: | PERCOLATION; Hyperfiniteness; Non-amenable groups; Mathematics, Applied; Isomorphism; regular trees; FINITARY CODINGS; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Apr 2024 07:42 |
| Last Modified: | 03 Apr 2024 07:42 |
| URI: | https://real.mtak.hu/id/eprint/191452 |
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