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math.FA2023
On stability of metric spaces and Kalton's property
F. Baudier, Th. Schlumprecht, A. Zsák
The first named author introduced the notion of upper stability for metric spaces as a relaxation of stability. The motivation was a search for a new invariant to distinguish the c…
math.CO2023
Stochastic Embeddings of Graphs into Trees
Th. Schlumprecht, Garrett Tresch
It is known that every graph with n vertices embeds stochastically into trees with distortion . In this paper, we show that this upper bound is sharp for a large class o…