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Cellular Automata Rules and Linear Numbers
Cellular Automata linear and non-linear rules linear and non-linear numbers
2012/4/27
In this paper, linear Cellular Automta (CA) rules are recursively generated using a binary tree rooted at "0". Some mathematical results on linear as well as non-linear CA rules are derived. Integers ...
Limit theorems for Betti numbers of random simplicial complexes
Limit theorems random simplicial complexes
2010/12/9
There have been several recent articles studying homology of various types of random simplicial complexes. Several theorems have concerned thresholds for vanishing of homology, and in some cases expec...