What is a Random Walk?

The video explores the concept of random walks, their mathematical foundation, and applications in various fields such as Google's search algorithm, finance, and biology. It explains the basic random walk on integers, extends the concept to higher dimensions, and introduces biased random walks. The video also discusses the recurrence and transience of random walks, their relation to Markov chains, and various applications including the stock market and Gambler's Ruin. Viewer feedback and a PBS survey are also mentioned.

What are some applications of random walks mentioned in the text?

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Describe the basic concept of a random walk as explained in the text.

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What is the significance of the coin flip in the context of random walks?

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Discuss the implications of Polya's question regarding random walks bumping into each other.

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Explain the difference between recurrent and transient random walks.

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What does the text suggest about the behavior of random walks in higher dimensions?

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How does the expected value of a random walk change with biased coin flips?

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What is the relationship between random walks and Markov chains as discussed in the text?

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What is Gambler's Ruin and how does it relate to random walks?

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How can random walks be applied in modeling the stock market?

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