Modul: MAT760 Ergodic Theory and Dynamical Systems Seminar

## Generic Dynamics of Infinite measure translation surfaces (e-seminar)

Talk by Dr. Alba Marina Malga Sabogal

**Date:** 02.11.20 **Time:** 15.00 - 16.15 **Room:** Y27H28

A staircase surface is an infinite genus translation surface obtained by gluing rectangles in a way similar to steps of a staircase. An Ehrenfest wind-tree model is a mathematical billiard played upon the complement of some arbitrarily placed pairwise parallel square scatterers. In this talk I will introduce parameterized families of wind-trees and staircases, then I'll explain why for a G_delta dense sets of parameters the corresponding system has nice dynamics (minimality, ergodicity, etc). This is a joint work with Serge Troubetzkoy.