Random walks in cones

Seminarium: 
Teoria prawdopodobieństwa i modelowanie stochastyczne
Osoba referująca: 
Vitali Wachtel (Bielefeld University)
Data: 
czwartek, 16. Maj 2024 - 13:15
Sala: 
602
Opis: 
In this talk I am going to discuss the behaviour of walks constrained to some parts of the space. I will concentrate on two rather simple examples which however show the depth of the corresponding area of mathematics. I will begin with the classical Ballot problem, which can be seen as a walk conditioned to stay positive. I will then turn to a model for gambler's ruin problem with many players.