The complete $L^q$-spectrum and large deviations for return times for equilibrium states with summable potentials

M. Abadi, V. Amorim, J. -R. Chazottes +1

Let $(X_k{)}_{k\ge 0}$ be a stationary and ergodic process with joint distribution $\mu$ where the random variables $X_k$ take values in a finite set $\mathcal{A}$. Let $R_n$ be the f…