6 citations · 10 across the 5 of their papers we have counts for
5 papers
Probabilistic interpretation of the Selberg--Delange Method in analytic number theory
Maximilian Janisch
In analytic number theory, the Selberg--Delange Method provides an asymptotic formula for the partial sums of a complex function whose Dirichlet series has the form of a produc…
Alternative proof for the bias of the hot hand statistic of streak length one
Maximilian Janisch
For a sequence of random variables taking values or , the hot hand statistic of streak length counts what fraction of the streaks of length , that is, consecu…
Berry-Esseen-type estimates for random variables with a sparse dependency graph
Maximilian Janisch, Thomas Lehéricy
We obtain Berry-Esseen-type bounds for the sum of random variables with a dependency graph and uniformly bounded moments of order using a Fourier transform approa…
Instability and nonuniqueness for the Euler equations in vorticity form, after M. Vishik
Dallas Albritton, Elia Brué, Maria Colombo +4
In this expository work, we present Vishik's theorem on non-unique weak solutions to the two-dimensional Euler equations on the whole space, \[ \partial_t ω+ u \cdot \nabla ω= f \,…
Kolmogoroff's Strong Law of Large Numbers holds for pairwise uncorrelated random variables
Maximilian Janisch
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 w…