5 papers
Primitive Geometric Markov Partitions for pseudo-Anosov Homeomorphisms
Inti Cruz Diaz
Let be a pseudo-Anosov homeomorphism on a closed, oriented surface. We give an effective construction of Markov partitions for based on a simple combinatorial criterion dec…
A classification of pseudo-Anosov homeomorphisms I: the geometric type is a complete conjugacy invariant
Inti Cruz Diaz
Every pseudo-Anosov homeomorphism admits infinitely many Markov partitions. A \textit{geometric Markov partition} is a Markov partition in which each rectangle is…
Geometric Markov partitions for pseudo-Anosov homeomorphisms with prescribed combinatorics
Inti Cruz Diaz
In this paper, we focus on constructing and refining geometric Markov partitions for pseudo-Anosov homeomorphisms that may contain spines. We introduce a systematic approach to con…
An Algorithmic Classification of Generalized Pseudo-Anosov Homeomorphisms via Geometric Markov Partitions
Inti Cruz Diaz
This thesis provides a classification of generalized pseudo-Anosov homeomorphisms up to topological conjugacy using an algorithmic approach. A Markov partition of a generalized pse…
A classification of pseudo-Anosov homeomorphisms via geometric Markov partitions
Inti Cruz Diaz
We continue with the ideas of Bonatti-Langevin-Jeandenans towards a constructive and algorithmic classification of pseudo-Anosov homeomorphisms (possibly with spines), up to topolo…