Title: Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik. Year: 2022. Authors: Dallas Albritton, Elia Brué, Maria Colombo, Camillo De Lellis, Vikram Giri, Maximilian Janisch, Hyunju Kwon. Abstract: In this expository work, we present Vishik's theorem on non-unique weak solutions to the two-dimensional Euler equations on the whole space, [...]

Title: Kolmogoroff's Strong Law of Large Numbers holds for pairwise uncorrelated random variables. Year: 2021. Authors: Maximilian Janisch. Abstract: Using the approach of N. Etemadi for the Strong Law of Large Numbers (SLLN) from 1981 and the elaboration of this approach by S. Csörgő, K. Tandori and V. Totik from 1983, I give weak conditions [...]