Boundedness of oriented walks generated by substitutions
نویسندگان
چکیده
Let x = x0x1 ... be a fixed point of a substitution on the alphabet {a,b}, and let Ua = (-10 -11) and Ub = (10 11) We give a complete classification of the substitutions 03C3 : {a, b}* ~ {a, b}* according to whether the sequence of matrices (Ux0 Ux1... Uxn)~n=0 is bounded or unbounded. This corresponds to the boundedness or unboundedness of the oriented walks generated by the substitutions.
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تاریخ انتشار 1996