Fernando Jose Sanchez-Salas
Higher dimensional versions of the Folklore Theorem, I.
(536K, dvi , ps)
ABSTRACT. We prove in this note that Markov transformations defined by
infinitely many $C^2$ expanding branches $T_i : \Omega_i \subseteq
\Omega \mapto \Omega$ in $\real^m$ $(m \geq 1)$ satisfying a
bounded distortion condition leaves invariant a unique ergodic
smooth measure.