Many questions and a few answers about hom-shifts and rectangular tiling shifts in higher dimensions
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| Title | Many questions and a few answers about hom-shifts and rectangular tiling shifts in higher dimensions |
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| Number of Parts | 15 |
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| License | You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor. |
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| Abstract | In this talk we will step back from the generality of multidimensional shifts of finite type and focus on two specific classes: The space of graph homomorphisms from Zd to a fixed connected undirected graph and the space of tilings of Zd by rectangular shapes. While these classes cover fairly well-studied examples like the space of proper 3-colourings and domino tilings, a lot still remains to be understood. We will discuss some recent results about these shift spaces and try to pinpoint the difficulties which arise in their investigation. |
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