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math.GT2023
Big mapping class groups are not extremely amenable
Yusen Long
This paper uses the renowned Kechris-Pestov-Todorčević machinery to show that (big) mapping class groups are not extremely amenable unless the underlying surface is a sphere or a o…
math.MG2023
Hyperbolic embedding of infinite-dimensional convex bodies
Yusen Long
In this article, we use the second intrinsic volume to define a metric on the space of homothetic classes of Gaussian bounded convex bodies in a separable real Hilbert space. Using…