Hyperbolic space has strong negative type
نویسندگان
چکیده
منابع مشابه
Hyperbolic Space Has Strong Negative Type
It is known that hyperbolic spaces have strict negative type, a condition on the distances of any finite subset of points. We show that they have strong negative type, a condition on every probability distribution of points (with integrable distance to a fixed point). This implies that the function of expected distances to points determines the probability measure uniquely. It also implies that...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2014
ISSN: 0019-2082
DOI: 10.1215/ijm/1446819297