Trimmed laws of large numbers for different dynamical systems
Vortrag von Dr. Tanja Schindler
Sprecher eingeladen von: Prof. Dr. Corinna Ulcigrai
Datum: 19.03.25 Zeit: 13.30 - 14.30 Raum: ETH HG G 19.1
Trimming, i.e. removing the largest summands of a sum of identically distributed (iid) random variables, has a long tradition to prove limit theorems which are not valid if one considers the untrimmed sum - one example is the strong law of large numbers for random variables with an infinite mean or in case of ergodic transformations Birkhoff's ergodic theorem. In this talk I will compare different dynamical systems, e.g. piecewise expanding interval maps and irrational rotations with the results for iid random variables regarding weak and strong laws of large numbers after trimming. This will be a somewhat expository talk.