Entropy of dyadic toeplitz system

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I have failed to find the topological entropy of dyadic Toeplitz system. Do you know what this entropy is?



Dyadic Toeplitz system is a subshift of $0,1^mathbbZ$, i.e. it is an orbit closure of point $x$ constructed as follows:
on every second coordinate we place zero, we get sequence $(...*0*0*0*0*...)$,then instead of every second * we place one, we get $(...010*010*010...)$ and so on. In other words, coordinates of element $x$ can be decomposed into arithmetic progressions, on which $x$ is constant.
Thank a lot in advance!




entropy




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    up vote
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    down vote

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    I have failed to find the topological entropy of dyadic Toeplitz system. Do you know what this entropy is?



    Dyadic Toeplitz system is a subshift of $0,1^mathbbZ$, i.e. it is an orbit closure of point $x$ constructed as follows:
    on every second coordinate we place zero, we get sequence $(...*0*0*0*0*...)$,then instead of every second * we place one, we get $(...010*010*010...)$ and so on. In other words, coordinates of element $x$ can be decomposed into arithmetic progressions, on which $x$ is constant.
    Thank a lot in advance!




    entropy




    share|cite|improve this question





















      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      I have failed to find the topological entropy of dyadic Toeplitz system. Do you know what this entropy is?



      Dyadic Toeplitz system is a subshift of $0,1^mathbbZ$, i.e. it is an orbit closure of point $x$ constructed as follows:
      on every second coordinate we place zero, we get sequence $(...*0*0*0*0*...)$,then instead of every second * we place one, we get $(...010*010*010...)$ and so on. In other words, coordinates of element $x$ can be decomposed into arithmetic progressions, on which $x$ is constant.
      Thank a lot in advance!




      entropy




      share|cite|improve this question











      I have failed to find the topological entropy of dyadic Toeplitz system. Do you know what this entropy is?



      Dyadic Toeplitz system is a subshift of $0,1^mathbbZ$, i.e. it is an orbit closure of point $x$ constructed as follows:
      on every second coordinate we place zero, we get sequence $(...*0*0*0*0*...)$,then instead of every second * we place one, we get $(...010*010*010...)$ and so on. In other words, coordinates of element $x$ can be decomposed into arithmetic progressions, on which $x$ is constant.
      Thank a lot in advance!





      entropy





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      asked Aug 3 at 6:43









      jon.sand

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