We study linear dynamics of weighted composition operators on \(L^p\) -spaces and continuous function spaces over boundaries of infinite homogeneous trees, induced by hyperbolic automorphisms and continuous positive weights. Generalizing and refining a previous result due to Pavone, we discuss (i) the (frequent) hypercyclicity and the Devaney chaoticity of such operators, and (ii) the (non-)existence of common hypercyclic vectors and the disjoint hypercyclicity of families of such operators. The attracting fixed points of the hyperbolic automorphisms associated with such operators play an important role. The proof relies on the standard criteria of the hypercyclicity and its variants, as well as a combinatorial analysis of hyperbolic automorphisms on trees.
