Geodesic
Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor
Eriko Hironaka1 orcid ; Chi Cheuk Tsang2 orcid
1Florida State University, Tallahassee, USA
2University of California, Berkeley, USA
Groups, geometry, and dynamics, Tome 19 (2025) no. 4, pp. 1263-1317

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DOI

We show that given a fully punctured pseudo-Anosov map f:S→S whose punctures lie in at least two orbits under the action of f, the expansion factor λ(f) satisfies the inequality
DOI : 10.4171/ggd/805
Classification : 37D40, 37E30, 57M50
Mots-clés : pseudo-Anosov maps, expansion factor, fully punctured, train tracks, standardly embedded, Thurston symplectic form

Eriko Hironaka  1   ; Chi Cheuk Tsang  2

1 Florida State University, Tallahassee, USA
2 University of California, Berkeley, USA 
Eriko Hironaka; Chi Cheuk Tsang. Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor. Groups, geometry, and dynamics, Tome 19 (2025) no. 4, pp. 1263-1317. doi: 10.4171/ggd/805
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     title = {Standardly embedded train tracks and {pseudo-Anosov} maps with minimum expansion factor},
     journal = {Groups, geometry, and dynamics},
     pages = {1263--1317},
     year = {2025},
     volume = {19},
     number = {4},
     doi = {10.4171/ggd/805},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/805/}
}
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