[Illinois] PHYS466 2013 Lecture 17: Markov Chains

By David M. Ceperley

University of Illinois at Urbana-Champaign

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Abstract


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Researchers should cite this work as follows:

  • David M. Ceperley (2013), "[Illinois] PHYS466 2013 Lecture 17: Markov Chains," https://nanohub.org/resources/18087.

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University of Illinois, Urbana-Champaign, IL

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NanoBio Node, George Michael Daley

University of Illinois at Urbana-Champaign

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[Illinois] Phys 466 Lecture 17: Markov Chains
  • Random Walks A&T 110-123 and F&S 3.1.2 1. Random Walks A&T 110-123 and F… 0
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  • Equation of State Calculations by Fast Computing Machies 2. Equation of State Calculations… 75.2697061787234
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  • Markov chain or Random Walk 3. Markov chain or Random Walk 112.39736842105263
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  • Properties of Random Walk 4. Properties of Random Walk 772.53785900783294
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  • Random Walks Example from A&T 110-123 5. Random Walks Example from A&T … 1400.041884816754
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  • What is probability of being up on the second day? 6. What is probability of being u… 1506.1059670781892
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  • Metropolis algorithm 7. Metropolis algorithm 1637.5634642070036
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  • Replace strong 8. Replace strong "Microscopic Re… 1905.6064811035833
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  • Rejection Method 9. Rejection Method 1921.7749571463555
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  • The 10. The "Classic" Metropolis metho… 2403.9857829395273
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  • How to sample 11. How to sample 2411.5611231274534
    00:00/00:00
  • Picture of Metropolis Rejection 12. Picture of Metropolis Rejectio… 2697.8046142754147
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  • MONTE CARLO CODE 13. MONTE CARLO CODE 2773.1775214291438
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  • Overview of MCMC 14. Overview of MCMC 2958.6345429784506
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  • MONTE CARLO CODE 15. MONTE CARLO CODE 2968.3040935672511
    00:00/00:00
  • Overview of MCMC 16. Overview of MCMC 2994.7094047905152
    00:00/00:00
  • Always measure acceptance ratio. 17. Always measure acceptance rati… 3082.4791716734762
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