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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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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****************************
