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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 got a reply there, this can be closed. http://mathoverflow.net/questions/43083/textbooks-or-notes-on-gradient-flows-in-metric-spaces2010-10-21

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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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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.2011-07-02