Is it a known example of adic transformation ? (2) - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T11:04:26Z http://mathoverflow.net/feeds/question/105152 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/105152/is-it-a-known-example-of-adic-transformation-2 Is it a known example of adic transformation ? (2) Stéphane Laurent 2012-08-21T11:52:30Z 2012-08-21T17:03:45Z <p>Please apologize: the Bratelli-Vershik graph in which I'm interested is not <a href="http://mathoverflow.net/questions/105012/is-it-a-known-example-of-adic-transformation" rel="nofollow">this one</a> but this one: <img src="http://www.freeimagehosting.net/t/6uxds.jpg" alt="graph2"></p> <p>At level \$n\$ there are \$n\$ vertices, there is one edge from each of the first \$n-1\$ vertices to the vertex just above at level \$n-1\$, and from the last vertex there are: one edge to the first vertex at level \$n-1\$, one edge to the second vertex, \$2\$ edges to the third vertex, ..., \$2^{n-2}\$ edges to the \$(n-1)\$-st vertex.</p> <p>I'd like to know whether this graph induces a known example of transformation ?</p>