99-382 Fernando Jose Sanchez-Salas
Higher dimensional versions of the Folklore Theorem, I. (536K, dvi , ps) Oct 13, 99
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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.

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