Seminar Details
A Mirror Step Variant of Gambler's Ruin
- Start Date: February 13, 2025
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Lucy Martinez - Rutgers University
- Event Additional Info: <p>Presented Via Zoom: <a href="https://rutgers.zoom.us/j/91865817691">https://rutgers.zoom.us/j/91865817691</a></p> <p>Password: 6564120420</p> <p>For further information see: <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/">https://sites.math.rutgers.edu/~zeilberg/expmath/</a></p>
- Presentation Type: Stand Alone Presentation
- Abstract:
Consider a gambler who starts with x dollars. At each gamble, the gambler either wins a dollar with probability 1/2 or loses a dollar with probability 1/2. The gambler's goal is to reach N dollars without first running out of money (i.e., hitting 0 dollars). If the gambler reaches N dollars, we say that they are a winner. The gambler continues to play until they either run out of money or win. This scenario is known as the gambler's ruin problem, first posed by Pascal. We consider a new generalization of the gambler's ruin problem. A particle starts at some point x on a line of length N. At each step, the particle either moves from x to x-1 with probability q1, or moves from x to x+1 with probability q2, or moves from x to N-x with probability p where 0
Link to video: https://vimeo.com/1056833587?share=copy