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Perturbing subshifts of finite type: two words

Dynamical Systems 2019-02-12 v1

Abstract

We bound the change in entropy incurred by an irreducible subshift of finite type upon perturbing it by forbidding a pair of admissible words. Lind has proven such bounds in the one-word case, and we adapt his methods. In particular, we introduce multi-word correlation polynomials and study their size, as well as that of their determinant in the two-word case.

Keywords

Cite

@article{arxiv.1902.03352,
  title  = {Perturbing subshifts of finite type: two words},
  author = {Nick Ramsey},
  journal= {arXiv preprint arXiv:1902.03352},
  year   = {2019}
}

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21 pages