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UID:7387@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180206T110000
DTEND;TZID=Europe/Paris:20180206T120000
DTSTAMP:20241120T203936Z
URL:https://www.i2m.univ-amu.fr/evenements/on-the-topological-entropy-of-t
 he-subshifts-of-finite-type-on-free-semigroups/
SUMMARY:Jung-Chao Ban (National Dong Hwa University): On the topological en
 tropy of the subshifts of finite type on free semigroups
DESCRIPTION:Jung-Chao Ban: In this talk\, we provide an effective method to
  compute the topological entropies of G-subshifts of finite type (G-SFTs) 
 with G = Fd or Sd\, i.e.\, the free group and semigroup with d generators.
  We set up the topological entropy theory by analyzing the corresponding s
 ystems of nonlinear recursive equations (SNREs). Four types of SNREs of S2
 -SFTs\, namely the types E\, D\, C and O\, are introduced and we could com
 pute their topological entropies explicitly. This enables us to give the c
 omplete characterization of S2-SFTs on two symbols. That is\, the set of t
 opological entropies of S2-SFTs on two symbols is equal to the union of E\
 , D\, U and O. We note that there is an example in type O of S2-SFT on two
  symbols such that the topological entropy is not well-defined. This gives
  an affirmative answer to the problem raised by Petersen-Salama in 2017. T
 he methods developed in Sd-SFTs will also be applied to the study the topo
 logical entropy theory of Fd-SFTs. Finally\, the topological entropy formu
 las of Sd-\, Fd-golden mean shifts and k-colored chessboards are also pres
 ented herein.\nhttps://arxiv.org/abs/1803.03082\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 018/02/Jung-Chao_Ban.jpg
CATEGORIES:Séminaire,Ernest
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