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math.DS2026
Rokhlin properties in homeomorphism groups of compact metric spaces
Maciej Malicki
We develop a general framework for studying generic homeomorphisms of compact metric spaces using combinatorial amalgamation methods inspired by Fraïssé theory. Our approach combin…
math.DS2013
Cooperative Boolean systems with generically long attractors II
Winfried Just, Maciej Malicki
We prove that cooperativity in Boolean networks precludes a strong notion of sensitive dependence on initial conditions. Weaker notions of sensitive dependence are shown to be cons…
math.DS2013★ 4 cited
Cooperative Boolean systems with generically long attractors I
Winfried Just, Maciej Malicki
We study the class of cooperative Boolean networks whose only regulatory functions are COPY, binary AND, and binary OR. We prove that for all sufficiently large N and c < 2 there e…