Branching Processes Learning Seminar

Sascha Troscheit, Department of Pure Mathematics, University of Waterloo

"Branching Processes, Martingales, Kingman’s Subadditive Ergodic Theorem, and some applications, Part III: The probability of deviating from the mean behaviour"

In this week's branching processes episode we revisit the probability generating function and consider its inverse. Using a slightly stronger assumption than we have done before we will be able to estimate the probability that the number of descendants is more than the mean behaviour. We will use this to prove an unexpected(?) result about---you guessed it---Mandelbrot percolation.

MC 5417