Can you help me with solving this problem:
Suppose that A is hyperbolic toral automorphism( represented with matrix A) with only one real eigenvalue \lambda >1 with geometric multiplicity 1. Suppose that v is right and w left eigenvector associated with \lambda and that =1. We construct a matrix H in the followig way. On position (i,j) matrix H has v_i w_j. I need to prove that set of homoclinic points to 0 of A is precisely p(Hm) where m belongs to Z^n and where p is a projection from R^n to n-dim torus T^n.
Recall that point is homoclinic to 0 if both positive and negative iterates of A converge to 0.