First Steps in Random Walks

First Steps in Random Walks

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Random walks proved to be a useful model of many complex transport processes at the micro and macroscopical level in physics and chemistry, economics, biology a

First Steps in Random Walks

First Steps in Random Walks

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The name "random walk" for a problem of a displacement of a point in a sequence of independent random steps was coined by Karl Pearson in 1905 in a question pos

First Steps in Random Walks

First Steps in Random Walks

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The name "random walk" for a problem of a displacement of a point in a sequence of independent random steps was coined by Karl Pearson in 1905 in a question pos

Two-Dimensional Random Walk

Two-Dimensional Random Walk

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A visual, intuitive introduction in the form of a tour with side-quests, using direct probabilistic insight rather than technical tools.

Stopped Random Walks

Stopped Random Walks

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My first encounter with renewal theory and its extensions was in 1967/68 when I took a course in probability theory and stochastic processes, where the then rec