Asymmetric unimodal maps:: Some results from q-generalized bit cumulants

study, using q-generalized bit cumulants (q is the nonextensivity parameter of the recently introduced Tsallis statistics), we investigate the asymmetric unimodal maps x(t+1)= 1 - a /x(t)/(zi) (i = 1,2 correspond to x(t) >0 and x(t)<0, respectively; z(i)>1, 0+/- infinity this slope approaches unity. This behavior is very similar to the behavior of q* as a function of the inflection parameter for some z-dependent maps; namely, as z->infinity, q* approaches 1.