Contents
IAS/Park City Mathematics Institute vii
Preface ix
Lecture 1. Simple Random Walk and Stirling's Formula 1
Lecture 2. Simple Random Walk in Many Dimensions 9
Lecture 3. Self-Avoiding Walk 15
Lecture 4. Brownian Motion 21
Lecture 5. Shuffling and Random Permutations 27
Lecture 6. Seven Shuffles are Enough (Sort of) 33
Lecture 7. Markov Chains on Finite Sets 39
Lecture 8. Markov Chain Monte Carlo 47
Lecture 9. Random Walks and Electrical Networks 53
Lecture 10. Uniform Spanning Trees 63
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