Ittai Kan has described a simple example of a skew product map from the cylinder (R/Z) Ã— I to itself such that the two boundary circles are measure theoretic attractors whose attracting basins areâ€¦ (More)

We investigate maps on P2 and C3 for which the algebraic degrees of the iterates, dm, are not constant nor grow like dm. These maps are called B-maps. Answering a question posed by Ghys, we will showâ€¦ (More)

A study of rational maps of the real or complex projective plane of degree two or more, concentrating on those which map an elliptic curve onto itself, necessarily by an expanding map. We describeâ€¦ (More)

A study of rational maps of the real or complex projective plane of degree two or more, concentrating on those which map an elliptic curve onto itself, necessarily by an expanding map. We describeâ€¦ (More)

The field of holomorphic dynamics, founded in the early 20 th century by Fatou and Julia, experienced explosive development in the 1980s and 1990s after the discove ry of the Milnor-Thurston Kneadingâ€¦ (More)