Here is a Bratelli-Vershik graph: ![alt text][1] 

This graph should (I do not master this topic) define a Vershik adic transformation $T$ on its  path space. 

- What are the invariant measure(s) on the path space for which $T$ is ergodic ?

- Is $T$ (isomorphic to) a known example of transformation in ergodic theory ?

 


  [1]: http://www.freeimagehosting.net/newuploads/64jrg.jpg