# Seminar Archive - 2013

Our regular seminar program covers a broad range of topics from applied mathematics, pure mathematics and statistics. All staff and students are welcome.
A complete list of past seminars can be accessed via the left-hand menu.

*Akshay Venkatesh - Stanford University*

I will discuss some models of what a "random abelian group" is, and some conjectures (the Cohen-Lenstra heuristics of the title) about how they show up in number theory. I'll then discuss the...

*Andreas Prohl - Tuebingen*

I discuss the convergence analysis for space-time discretizations of three nonlinear SPDEs: the stochastic Navier-Stokes equation, the stochastic Allen-Cahn equation, and the stochastic mean...

*Robert Bryant - Duke University*

Given a closed, convex curve C in the plane, a billiard path on C is a polygon P inscribed in C such that, at each vertex v of P, the two edges of P incident with v make equal angles with the tangent...

*Gery Geenens - University of New South Wales*

Kernel estimation of a probability density function supported on the unit interval has proved difficult, because of the well known boundary bias issues a conventional kernel density estimator would...

*Georgia Tsambos - UNSW*

In this talk, I will explain how the long-term behaviour of discrete dynamical systems can be studied with the help of the Frobenius-Perron operator. This operator describes how distributions change...

*Jason Ng - UNSW*

Given an integer a, we wish to know for which prime integers p the congruence x^2 = a mod p is solvable. An important tool for analysing this is the law of quadratic reciprocity. Gauss was not only...

*Xiaodong Cao - Cornell University*

In this talk, we will first give a quick introduction to the Ricci flow. Then we will focus on some recent development on two special solutions: Einstein manifolds and gradient Ricci solitons, we...

*Timothy Siu - Honours student, UNSW*

General dynamical systems do not necessarily have closed-form solutions. An exception are linear systems, whose dynamics acting on the Cartesian plane can be solved exactly. However, linear maps...

*Alec Gilbert - Honours student, UNSW*

In this talk we look at the long-term behaviour of a continuous time dynamical system (flow) by studying how probability densities vary with time. The main object of interest is the infinitesimal...