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I read about the Johnson Lindenstrauss Lemma. I googled and found that low distortion embeddings is a live subject, but it seems that many interesting results are already known.

Is there a book on the subject? (there is one chapter in Lectures on Discrete Geometry / Matousek).

What papers cover the basic results and by which order should they be read?

Note: It is acceptable for me to read outdated results if they can serve a didactic purpose.

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Nothing really helpful to your query, but here's how Bill Johnson described the lemma on MO. –  t.b. Sep 1 '11 at 15:00
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up vote 1 down vote accepted

I recommend Geometry of Cuts and Metrics by Deza and Laurent, which is available from Deza's page. Other notable sources are:

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