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Polynomials,dynamics,and trees
Becca Winarski
23 April 2020
The twisted rabbit problem is a polynomial classificationproblem: the goal is to determine equivalence types offunctions of complex numbers that usually are not givenby a formula (these are called topological polynomials).The problem arises out of complex dynamics and the firstsolution given by Bartholdi and Nekrashevych used grouptheory. I will explain the problem and its history, aswell as a new topological solution - one that classifiestopological polynomials using an associated tree. This isjoint work with Jim Belk, Justin Lanier, and Dan Mar-galit.
Polynomials,dynamics,and trees
Becca Winarski
23 April 2020
The twisted rabbit problem is a polynomial classificationproblem: the goal is to determine equivalence types offunctions of complex numbers that usually are not givenby a formula (these are called topological polynomials).The problem arises out of complex dynamics and the firstsolution given by Bartholdi and Nekrashevych used grouptheory. I will explain the problem and its history, aswell as a new topological solution - one that classifiestopological polynomials using an associated tree. This isjoint work with Jim Belk, Justin Lanier, and Dan Mar-galit.
Polynomials,dynamics,and trees
Becca Winarski
23 April 2020
The twisted rabbit problem is a polynomial classification problem: thegoal is to determine equivalence types of functions of complex numbersthat usually are not given by a formula (these are called topologicalpolynomials). The problem arises out of complex dynamics and the firstsolution given by Bartholdi and Nekrashevych used group theory. I willexplain the problem and its history, as well as a new topological solution -one that classifies topological polynomials using an associated tree. Thisis joint work with Jim Belk, Justin Lanier, and Dan Margalit.
Meeting virtually for the remainder of the Winter 2020 term, Thursdays at 4pm EDT
Polynomials, dynamics,and trees
Becca Winarski
23 April 2020
The twisted rabbit problem is a polynomial classification problem: thegoal is to determine equivalence types of functions of complex numbersthat usually are not given by a formula (these are called topologicalpolynomials). The problem arises out of complex dynamics and the firstsolution given by Bartholdi and Nekrashevych used group theory. I willexplain the problem and its history, as well as a new topological solution -one that classifies topological polynomials using an associated tree. Thisis joint work with Jim Belk, Justin Lanier, and Dan Margalit.
