Uniqueness of fixed point of a two-dimensional map obtained as a generalization of the renormalization group map associated to the self-avoiding paths on gaskets

Tetsuya Hattori

Let $W(x,y)=a{x}^3+b{x}^4+f_5{x}^5+f_6{x}^6+(3a{x}^2{)}^{2}y+g_5{x}^{5}y+h_3{x}^3{y}^2+h_4{x}^4{y}^2+n_3{x}^3{y}^3+a_{24}{x}^2{y}^4+a_{05}{y}^5+a_{15}x{y}^5+a_{06}{y}^6$, an…