4 citations · 4 across the 2 of their papers we have counts for
8 papers
Graph and backward asymptotics of the tent map
Ana Anusic, Roberto De Leo
The tent map family is arguably the simplest 1-parametric family of maps with non-trivial dynamics and it is still an active subject of research. In recent works the second author,…
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…
Accessible points of planar embeddings of tent inverse limit spaces
Ana Anusic, Jernej Cinc
In this paper we study a class of embeddings of tent inverse limit spaces. We introduce techniques relying on the Milnor-Thurston kneading theory and use them to study sets of acce…
Uncountably many planar embeddings of unimodal inverse limit spaces
Ana Anusic, Henk Bruin, Jernej Cinc
For point in the inverse limit space with a single unimodal bonding map we construct, with the use of symbolic dynamics, a planar embedding such that is accessible. It…
The Core Ingram Conjecture for non-recurrent critical points
Ana Anusic, Henk Bruin, Jernej Cinc
We study inverse limit spaces of tent maps, and the Ingram Conjecture, which states that the inverse limit spaces of tent maps with different slopes are non-homeomorphic. When the…