Rational map $ax+1/x$ on the projective line over $\mathbb{Q}\_{p}$
  The dynamical structure of the rational map $ax+1/x$ on the projective line $\P$ over the field $\mathbb{Q}\_p$ of $p$-adic numbers is described for $p\geq 3$. 
Shilei Fan (CCNU), Lingmin Liao (LAMA)
math.DS