Kiss, Gergely and Londner, Itay and Matolcsi, Máté and Somlai, Gábor (2025) A lonely weak tile. EXPOSITIONES MATHEMATICAE. No. 125636. ISSN 0723-0869 (In Press)
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Official URL: https://doi.org/10.1016/j.exmath.2024.125636
Abstract
The notion of weak tiling was a key ingredient in the proof of Fuglede's spectral set conjecture for convex bodies, due to the fact that every spectral set tiles its complement weakly with a suitable Borel measure. In this paper we review the concept of weak tiling, and answer a question raised by Kolountzakis, Lev and Matolcsi, by giving an example of a set T which tiles its complement weakly, but T is neither spectral, nor a proper tile. © 2024 Elsevier GmbH
| Item Type: | Article |
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| Additional Information: | Published online: 2024 |
| Uncontrolled Keywords: | Tiling; Spectral set; Weak tiling; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 02 Sep 2025 08:20 |
| Last Modified: | 02 Sep 2025 08:20 |
| URI: | https://real.mtak.hu/id/eprint/223114 |
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