Malavika Mukundan

activity

20222026

most citedA solution to the degree-d twisted rabbit problem

2 citations · 2 across the 5 of their papers we have counts for

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math.DS2024

A cell decomposition for marked cycle curves

Caroline Davis, Malavika Mukundan, Danny Stoll +1

We describe a family $Cyc_{p} (F)$ of marked cycle curves that parameterize the cycles of period $p$ of a given family $F$ of dynamical systems. We produc…

math.DS2023

Dynamical approximation of postsingularly finite exponentials

Malavika Mukundan

Given any postsingularly finite exponential function $p_{λ} (z) = λ exp (z)$ where $λ\in \C^*$, we construct a sequence of postcritically finite unicritical polynomials $p_{d,λ_d}(z) =…

math.DS2023

Dynamical approximations of postsingularly finite entire maps

Malavika Mukundan, Nikolai Prochorov, Bernhard Reinke

We prove that every postsingularly finite entire map $g$ can be approximated by a sequence of postcritically finite complex polynomials $(g_{n})$ such that their postsingular dynamic…

math.DS2022

Embedding Unicritical Connectedness Loci

Malavika Mukundan

In this article, for degree $d \geq 1$ , we construct an embedding $Φ_{d}$ of the connectedness locus $M_{d + 1}$ of the polynomials $z^{d + 1} + c$ into the connectedness locus o…

math.DS2022★ 2 cited

A solution to the degree-d twisted rabbit problem

Malavika Mukundan, Rebecca R. Winarski

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 p…