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math.PR2026
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…
math.PR2026
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…