Topic: Simple Random Walks on the Integers

Worked Calculations for Walk Maxima

Ties, Strict Barriers, and Other Counting Pitfalls

The Time of the Maximum and Its Arcsine Limit

The Reflection Principle for Walks

The Last Zero Before a Fixed Time

The Exact Endpoint Distribution

The Distribution of the Running Maximum

The Ballot Theorem for Walks

The Arcsine Limit for Positive Occupation

The Arcsine Limit for the Last Zero