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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 288 - Probability & Statistics
Chris Gartland
UC San Diego
Stochastic Embeddings of Hyperbolic Metric Spaces
Abstract:
This talk is based on ongoing work of the speaker. We will discuss the stochastic embeddability of snowflakes of finite Nagata-dimensional spaces into ultrametric spaces and the induced stochastic embeddings of their hyperbolic fillings into trees. Several results follow as applications, for example:
(1) For any uniformly concave gauge $\omega$, the Wasserstein 1-metric over $([0,1]^n,\omega(\|\cdot\|))$ biLipschitzly embeds into $\ell^1$.
(2) The Wasserstein 1-metric over any finitely generated Gromov hyperbolic group biLipschitzly embeds into $\ell^1$.
October 5, 2023
11:00 AM
APM 6402
Research Areas
Probability Theory****************************
