Topology of the Random Fibonacci Tiling Space |
| F. Gählera and E. Miroa,b
aFakultät für Mathematik, Universität Bielefeld, 33615 Bielefeld, Germany bDepartment of Mathematics, Ateneo de Manila University, 1108 Quezon City, Philippines |
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| We look at the topology of the tiling space of locally random Fibonacci substitution, which is defined as a ↦ ba with probability p, a ↦ ab with probability 1-p and b ↦ a for 0<p<1. We show that its Čech cohomology group is not finitely generated, in contrast to the case where random substitutions are applied globally. |
DOI: 10.12693/APhysPolA.126.564 PACS numbers: 02.40.Re, 45.30.+s, 61.44.Br |