34 citations · 161 across the 30 of their papers we have counts for
36 papers
Distinguishing sets and measures from their planar Brownian images
Sascha Troscheit
Motivated by a question of Hochman, we investigate whether two deterministic time measures or time sets can be distinguished almost surely from a single planar Brownian image. Usin…
The quasi-isometry classes of Galton--Watson trees
Jayadev S. Athreya, Sascha Troscheit
We classify, up to quasi-isometry, the large-scale geometry of Galton--Watson trees for every finitely supported offspring distribution. Apart from the trivial finite diameter regi…
On exponential separation of analytic self-conformal sets on the real line
Balázs Bárány, István Kolossváry, Sascha Troscheit
In a recent article, Rapaport showed that there is no dimension drop for exponentially separated analytic IFSs on the real line. We show that the set of such exponentially separate…
Recent Progress on Fractal Percolation
István Kolossváry, Sascha Troscheit
This is a survey paper about the fractal percolation process, also known as Mandelbrot percolation. It is intended to give a general breadth overview of more recent research in the…
On the Fourier transform of random Bernoulli convolutions
Simon Baker, Henna Koivusalo, Sascha Troscheit +1
We investigate random Bernoulli convolutions, namely, probability measures given by the infinite convolution \[ μ_ω= \mathop{\circledast}_{k=1}^{\infty} \left( \frac{δ_0 + δ_{λ_1 λ…
Dynamical covering sets in self-similar sets
Balazs Barany, Henna Koivusalo, Sascha Troscheit
We study the size of \emph{dynamical covering sets} on a self-similar set. Dynamical covering sets are limsup sets generated by placing shrinking target sets around points along an…