Customer Reviews

Percolation

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I am what Prof. Bollobas in one of his books called a 'hobby mathematician'.

This book was my first 'contact' with percolation theory, so I cannot compare it to other books on the same subject.
The book covers percolation theory mostly in the plane, only rarely does it cover d-dimensional percolation.

The mathematical prerequisites are rather modest: good knowledge in probability theory, but not much of the measure theoretic part of it, is needed. Knowledge in graph theory is helpful, but not becessary.
The proofs are complete and they are a little easier (more 'spelled out') than in other books by Prof. Bollabas which I have read (Modern Graph Theory, Random Graphs), but do not compormise rigor at all. I believe, this book is written not only for mathematicians.

Many figures help to visualize the concepts.

Except for the last 15 pages which are highly confusing, all facts and theorems needed are proven, not simply stated with a reference to some other paper. In this sense, it is a VERY good textbook.
Similar to the two other books by Prof. Bollobas, also this one shows, that the author(s) know their subject matter and can motivate what's going on in a few clear words!

Unlike the other two books of Prof. Bollobas this one is virtually typo-free! I think, I found about 8 harmless ones.

If one is looking for a good textbook on percolation theory, I can certainly recommend this book!

Very good introduction to percolation. It is also very up to date, with chapter on recent developments.