Mini Course / Dynamics Learning SeminarWednesday March 14th, 2018 | |

Time: |
2:30 PM - 3:30 PM |

Title: |
Some rational multidimensional maps coming from self-similar groups |

Speaker: |
Rostislav Grigorchuk, Texas A&M University |

Location: |
Math Tower P-131 |

Abstract: | |

I will describe a non-standard method of getting multidimensional rational maps using self-similar groups. These maps are very different from the maps in general position and possess interesting properties. Then I will explain why study of dynamical properties of these maps is useful for solving spectral problems related to finite and infinite graphs and to groups. Also the KNS (Kesten-Von Neumann-Serre) spectral measures will be defined and discussed. |