Ergodic Abelian actions with homogeneous spectrum
| Autor: | Danilenko, Alexandre I., Solomko, Anton V. |
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| Rok vydání: | 2010 |
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| Druh dokumentu: | Working Paper |
| Popis: | It is shown that for each $N>0$ and for a wide class of Abelian non-compact locally compact second countable groups $G$ including all infinite countable discrete ones and $\Bbb R^{d_1}\times\Bbb Z^{d_2}$ with $d_1,d_2\ge 0$, there exists a weakly mixing probability preserving $G$-action with a homogeneous spectrum of multiplicity $N$. |
| Databáze: | arXiv |
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