TPS seminar Monday May 12, 3:10pm-4:00pm

[Benjamin Landon]

Hi all,

We will have a seminar in Fields 210 at 3:10pm. The info is below.

Speaker: Alexander Kreinin

Title:  On the Generalized Lambert Function

Abstract: We consider a particular generalized Lambert function, y(x) , defined by the implicit equation y^\beta = 1- e^{-xy}, with x>0 and \beta >0. Solutions to this equation can be found in terms of a certain continued exponential. Asymptotic and structural properties of a non-trivial solution, y_\beta , and its connection to the extinction probability of related branching processes are discussed. We demonstrate that this function constitutes a cumulative distribution function of a previously unknown non-negative absolutely continuous random variable.