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Creators/Authors contains: "Mukundan, Malavika"

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  1. ; (, Ergodic theory dynamical systems)
    We solve generalizations of Hubbard's twisted rabbit problem for analogues of the rabbit polynomial of degree $$d\geq 2$$. The twisted rabbit problem asks: when a certain quadratic polynomial, called the Douady Rabbit polynomial, is twisted by a cyclic subgroup of a mapping class group, to which polynomial is the resulting map equivalent (as a function of the power of the generator)? The solution to the original quadratic twisted rabbit problem, given by Bartholdi--Nekrashevych, depended on the 4-adic expansion of the power of the mapping class by which we twist. In this paper, we provide a solution to a degree-$$d$$ generalization that depends on the $d^2$-adic expansion of the power of the mapping class element by which we twist. 
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    Free, publicly-accessible full text available July 30, 2026
  2. ; ; ; ; ; ; (, Journal of Open Source Software)
    Free, publicly-accessible full text available May 1, 2026