Exact solution of indefinitely growing self-avoiding and Hamiltonian walk on fractals in four dimensions

The exponent v and the connectivity constant μ of an indefinitely growing self-avoiding walk and the μ_H for Hamiltonian walk in five simplex fractal have been calculated. We show that v is a decreasing function of d and that d = 4 is not the critical dimension. © 1996 John Wiley & Sons, Inc.