4 papers
Topological entropy of diagonal maps on inverse limit spaces
Ana Anusic, Christopher Mouron
We give an upper bound for the topological entropy of maps on inverse limit spaces in terms of their set-valued components. In a special case of a diagonal map on the inverse limit…
Strongly commuting interval maps
Ana Anusic, Christopher Mouron
Maps are called strongly commuting if . We show that strongly commuting, piecewise monotone maps can be decomposed into a fini…
Topological properties of Lorenz maps derived from unimodal maps
Ana Anušić, Henk Bruin, Jernej Činč
A symmetric Lorenz map is obtain by ``flipping'' one of the two branches of a symmetric unimodal map. We use this to derive a Sharkovsky-like theorem for symmetric Lorenz maps, and…
Folding points of unimodal inverse limit spaces
Lori Alvin, Ana Anušić, Henk Bruin +1
We study the properties of folding points and endpoints of unimodal inverse limit spaces. We distinguish between non-end folding points and three types of end-points (flat, spiral…