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What is a good introduction in gradient flows in metric spaces? I know the book Gradient flows: in metric spaces and in the space of probability measures by Luigi Ambrosio, Nicola Gigli and Giuseppe Savaré, but is too hard for an introduction.

Can someone make this a community wiki? I cannot find how you have to do that...

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I found the same problem (make it a community wiki) in my last question and I don't know. –  Américo Tavares Oct 20 '10 at 20:54
    
See this answer meta.math.stackexchange.com/questions/941/… –  Américo Tavares Oct 20 '10 at 22:20
    
@Américo Tavares: Thanks for the link. –  Jonas Teuwen Oct 20 '10 at 23:49
    
Since I don't get any answers here, would this be an okay question for MO (community wiki)? –  Jonas Teuwen Oct 21 '10 at 15:20
    
@Jonas: I think you should try. –  Rasmus Oct 21 '10 at 16:49

2 Answers 2

Also there are notes by Onno van Gaans, partly based on Clément's notes.

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I know those, I did the course he gave before the course lectures started by studying Clément's notes. –  Jonas Teuwen Jul 2 '11 at 18:37
up vote 2 down vote accepted

To close this question I will post the answer which I got at Mathoverflow.

I have read Philippe Clément's notes on gradient flows in metric spaces.

Another nice book which I have found is the book "Optimal Transport, old and new" by Cédric Villani". Nice book. It is in the Yellow Sale in Europe until the end of July.

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