Sketch notes on concentration of measure
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چکیده
I have written these notes to accompany my first two tutorial lectures on concentration of measure given at IPAM during March 20–23, 2018. I intend the lectures to be quite basic, so they will miss out many large and important topics related to concentration. These notes are a guide to my lectures and to further reading, so only a few proofs are given in full here. I am grateful to a number of participants in the tutorials for pointing out corrections. The two sections below roughly reflect the contents of my first and second lectures, respectively. I also gave a third lecture on some applications of concentration in classical ergodic theory. That subject is not treated here. A nice introduction can be found in [Shi96, Chapters III and IV].
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