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4 papers · 1 filter
Weak disks of Denjoy minimal sets
Philip Boyland
This paper investigates the existence of Denjoy minimal sets and, more generally, strictly ergodic sets in the dynamics of iterated homeomorphisms. It is shown that for the full tw…
Dynamics of certain non-conformal semigroups
Yunping Jiang
A semigroup generated by two dimensional contracting maps is considered. We call a such semigroup regular if the maximum of the conformal dilatations of generators, t…
Dynamics of certain smooth one-dimensional mappings IV: Asymptotic geometry of Cantor sets
Yunping Jiang
We study hyperbolic mappings depending on a parameter . Each of them has an invariant Cantor set. As tends to zero, the mapping approaches the boundary…
A partial description of the parameter space of rational maps of degree two: Part 2
Mary Rees
This continues the investigation of a combinatorial model for the variation of dynamics in the family of rational maps of degree two, by concentrating on those varieties in which o…