Gromov-Hausdorff-Prokhorov distance reference

Question

I have been interested as of late in a notion which I discovered is called the Gromov-Hausdorff-Prokhorov distance, and have been looking for reading material on the subject.

Does any one know of relatively accessible references to the subject? I have so far only found articles in arXiv on the subject, and don't know their validity.

Answer 1

The best introductory account I know of is Chapter 7 on pp. 241-270 (see also the additional material in Chapter 8 on pp. 271-306) in the following book:

Dmitri Jurjewitsch Burago, Yuri Dmitrievich Burago, and Sergei Vladimirovitsch Ivanov, A Course in Metric Geometry, Graduate Studies in Mathematics #33, American Mathematical Society, 2001, xiv + 415 pages.

table of contents, preface, bibliography, index

extensive errata list