11-07. Martingale theory - Optional stopping: the ABRACADABRA problem.
This video gives a proof of one of the most popular examples of application of the optional stopping theorem: How long does it take in average for a monkey to type the word ABRACADABRA? This is Example 5.4 of my Stochastic Modeling book. This video is part of the playlist Advanced Stochastic Processes • 10-01. Stochastic processes - Filtrations,... .
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11-08. Martingale theory - Martingale convergence theorem and upcrossing inequality.
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11-01. Martingale theory - Stopping time and optional stopping theorem.
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A Coin Flip Paradox and the ABRACADABRA Theorem for infinite monkeys: How long does it take? #SoME2
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Chapter 05. Martingales, optional stopping, convergence theory (with subtitles)
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The Radon-Nikodym derivative
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What is Wave Particle Duality?
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Gambling with the Martingale Strategy - Numberphile
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How To Think SO CLEARLY People Assume You're A Genius
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Clara Mattei: capitalism is not natural - it’s enforced
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Ben Davison, Nonabelian Hodge theory for stacks
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Your Daily Equation #21: Bell's Theorem and the Non-locality of the Universe
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AI has hacked the code of human civilization | Yuval Noah Harari
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Class 17, Video 1: Stopping Times and the Martingale Stopping Theorem
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I finally understood why quantum mechanics needs imaginary numbers (My mind is blown!)
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Chapter 01. Measure theory, probability and combinatorics (with subtitles)
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Understand AI in 14 minutes – with Anthropic's Chloe Lubinski [ARC 2026]
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Inside Black Holes | Leonard Susskind
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Ludwig Wittgenstein's Philosophy - John Searle & Bryan Magee (1987)
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We're 99.9% sure this pattern is true, but no one can prove it
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