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11-20.pdf
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🔗 Source: nyjm.albany.edu
📊 Size: 208 KB
👤 Author: John P. Steinberger
⬇️ Downloads: 59

Summary

It introduces the concept of an A-tiling of level d, where each integer can be written in exactly d ways as the sum of an element of the tile and an element of the multiset. The paper shows that there exist tiles with level semigroups having arbitrarily many generators and provides new exponential lower bounds on the longest period of an A-tiling as a function of the diameter of the tile. Specifically, it proves that there exists a constant b > 0 such that D(n) > eb√n ln(n) for all n sufficiently large, where D(n) is the maximum longest minimal period of an A-tiling among all tiles with diameter less than or equal to n.

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Description

It introduces the concept of an A-tiling of level d, where each integer can be written in exactly d ways as the sum of an element of the tile and an element of...

Technical Information

  • File Format: PDF
  • File Size: 208 KB
  • Pages: 12
  • Language: EN
  • Author: John P. Steinberger
  • Total Downloads: 59
  • Last Updated: 3 hours ago

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This PDF document about view provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into view.

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