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Lipschitz Embeddings of Random Fields | | Riddhipratim Basu
; Vladas Sidoravicius
; Allan Sly
; | | Date: |
5 Sep 2016 | | Abstract: | We consider the problem of embedding one i.i.d. collection of Bernoulli
random variables indexed by $mathbb{Z}^d$ into an independent copy in an
injective $M$-Lipschitz manner. For the case $d=1$, it was shown by Basu and
Sly (PTRF, 2014) to be possible almost surely for sufficiently large $M$. In
this paper we provide a multi-scale argument extending this result to higher
dimensions. | | Source: | arXiv, 1609.1273 | | Services: | Forum | Review | PDF | Favorites | |
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