2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/29762Generalizing methods developed by Pinn, Pordt and Wieczerkowski for the hierarchical model with one component (N=1) and dimensions d between 2 and 4 we compute O(N)-symmetric fixed points of the hierarchical renormalization group equation for some N and d with 0 < d < 4 and -2 <= N <= 20. The spectra of the linearized RG equation at the fixed points are calculated and the critical exponents νare extracted from the spectrum and compared to Borel-Pade-resummed ε-expansion.30 pages, 9 figures; changed 2 figures for better printing, completed list of references, changed font to 11pt, submitted to Journal of Statistical PhysicsStatistical MechanicsHigh Energy Physics - Theorytext