Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Dynamic Tessellations Associated with Cubic Polynomials

Dynamic Tessellations Associated with Cubic Polynomials

[HYBRID WORKSHOP] Connections Workshop: Complex Dynamics - from special families to natural generalizations in one and several variables February 02, 2022 - February 04, 2022

February 02, 2022 (10:00 AM PST - 10:50 AM PST)
Speaker(s): Araceli Bonifant (University of Rhode Island)
Location: MSRI: Online/Virtual
Tags/Keywords
  • cubic polynomials

  • parameter rays

  • dynamic rays

  • tessellations

  • escape regions

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Dynamic Tessellations Associated With Cubic Polynomials

Abstract

We study cubic polynomial maps from $\C$ to $\C$ with a critical orbit of period $p$. For each $p>0$ the space of conjugacy classes of such maps forms a smooth Riemann surface with a smooth compactification $\overline S_p$. For each $q>0$ I will describe a dynamically defined tessellation of $\overline S_p$. Each face of this tessellation corresponds to one particular behavior for periodic orbits of period $q$. (Joint work with John Milnor.)

Supplements
92602?type=thumb Dynamic Tessellations Associated with Cubic Polynomials 9.37 MB application/pdf Download
Video/Audio Files

Dynamic Tessellations Associated With Cubic Polynomials

Troubles with video?

Please report video problems to itsupport@msri.org.

See more of our Streaming videos on our main VMath Videos page.