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UID:bed7676c823b044dda72793ca436219f
CATEGORIES:Experimental Mathematics Seminar
CREATED:20250129T085644
SUMMARY: A mirror step variant of gambler's ruin
LOCATION:https://rutgers.zoom.us/j/94346444480 [password: The 20th Catalan number\, 
 alias (40)!/(20!*21!)
DESCRIPTION:<p>Consider a gambler who starts with x dollars. At each gamble, the gamble
 r either wins a dollar with probability 1/2 or loses a dollar with probabil
 ity 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 s
 ay 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 probl
 em, 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 proba
 bility p where 0</p>
CONTACT:Lucy Martinez, Rutgers University
DTSTAMP:20260907T075114
DTSTART;TZID=America/New_York:20250213T170000
DTEND;TZID=America/New_York:20250213T180000
SEQUENCE:0
TRANSP:OPAQUE
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