Geodesic
Twisting cubic rabbits
Justin Lanier1 orcid ; Rebecca R. Winarski2
1University of Chicago, Chicago, US
2College of the Holy Cross, Worcester, US
Groups, geometry, and dynamics, Tome 19 (2025) no. 1, pp. 315-341

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DOI

We solve an infinite family of twisted polynomial problems that are cubic generalizations of Hubbard’s twisted rabbit problem. We show how the result of twisting by a power of a certain Dehn twist depends on the 9-adic expansion of the power. For the cubic rabbit with three post-critical points, we also give an algorithmic solution to the twisting problem for the full pure mapping class group.
DOI : 10.4171/ggd/794
Classification : 37F20, 57M12
Mots-clés : cubic polynomials, twisted rabbit, holomorphic dynamics

Justin Lanier  1   ; Rebecca R. Winarski  2

1 University of Chicago, Chicago, US
2 College of the Holy Cross, Worcester, US 
Justin Lanier; Rebecca R. Winarski. Twisting cubic rabbits. Groups, geometry, and dynamics, Tome 19 (2025) no. 1, pp. 315-341. doi: 10.4171/ggd/794
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     title = {Twisting cubic rabbits},
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     year = {2025},
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     number = {1},
     doi = {10.4171/ggd/794},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/794/}
}
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