CHAOTIC POLYNOMIAL AUTOMORPHISMS - COUNTEREXAMPLES TO SEVERAL CONJECTURES

We give a polynomial counterexample to a discrete version of the Marku s-Yamabe conjecture and a conjecture of Deng, Meisters, and Zampieri, asserting that if F: C-n --> C-n is a polynomial map with det(JF) is a n element of C, then for all lambda is an element of R large enough, lambda F is global analytic linearizable. These counterexamples hold i n any dimension greater than or equal to 4. (C) 1997 Academic Press.