Channel: Oxford Mathematics

Category: Science & Technology

Tags: christina goldschmidtprobabilitybirth processesoxford mathematics student lecturemath lecture

Description: In the first of 2 lectures from her 3rd Year Undergraduate course (you can also watch the second on this channel), Christina Goldschmidt discusses Birth processes. Birth processes are some of the simplest continuous-time Markov chains: they model the size of a population which can only increase over time. They have a simple construction in terms of independent exponential random variables, but can nonetheless exhibit non-trivial behaviour, in particular the phenomenon of "explosion," whereby infinitely many individuals are born in a finite amount of time. You can find the course materials here: courses-archive.maths.ox.ac.uk/node/49150 You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists): youtube.com/playlist?list=PL4d5ZtfQonW0A4VHeiY0gSkX1QEraaacE All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.