Interesting Esoterica

Biologically Unavoidable Sequences

Article by Alexander, Samuel
  • Published in 2012
  • Added on
In the collection
A biologically unavoidable sequence is an infinite gender sequence which occurs in every gendered, infinite genealogical network satisfying certain tame conditions. We show that every eventually periodic sequence is biologically unavoidable (this generalizes Koenig's Lemma), and we exhibit some biologically avoidable sequences. Finally we give an application of unavoidable sequences to cellular automata.

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Other information

key
Alexander2012
type
article
date_added
2012-12-16
date_published
2012-12-01
arxivId
1212.0186
pages
9
volume
63

BibTeX entry

@article{Alexander2012,
	key = {Alexander2012},
	type = {article},
	title = {Biologically Unavoidable Sequences},
	author = {Alexander, Samuel},
	abstract = {A biologically unavoidable sequence is an infinite gender sequence which occurs in every gendered, infinite genealogical network satisfying certain tame conditions. We show that every eventually periodic sequence is biologically unavoidable (this generalizes Koenig's Lemma), and we exhibit some biologically avoidable sequences. Finally we give an application of unavoidable sequences to cellular automata.},
	comment = {},
	date_added = {2012-12-16},
	date_published = {2012-12-01},
	urls = {http://arxiv.org/abs/1212.0186,http://arxiv.org/pdf/1212.0186v2},
	collections = {Fun maths facts},
	archivePrefix = {arXiv},
	arxivId = {1212.0186},
	eprint = {1212.0186},
	month = {dec},
	pages = 9,
	url = {http://arxiv.org/abs/1212.0186 http://arxiv.org/pdf/1212.0186v2},
	volume = 63,
	year = 2012,
	primaryClass = {math.CO},
	urldate = {2012-12-16}
}