2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/179707We study a relativistic anyon model with a spin-$j$ matter field minimally coupled to a statistical gauge potential governed by the Chern-Simons dynamics with a statistical parameter $α$. A spin and statistics transmutation is shown in terms of a continuous random walk method. An integer or odd-half-integer part of $α$ can be reabsorbed by change of $j$. We discuss the equivalence of a large class of (infinite number) Chern-Simons matter models for given $j$ and $α$.21 pages in latex, IFT-488-UNC/NUP-A-94-3, some typos are detected, a paragraph is added to the discussion section, and the references are updatedHigh Energy Physics - TheoryCondensed Mattertext