Special Dynamics

In this talk I will discuss some definitions of exponential mixing and other rates of mixing and discuss some of its consequences.

Let Q be a non-degenerate indefinite quadratic form in d variables. In the mid 80's, Margulis proved the Oppenheim conjecture, which states that if d ≥ 3 and Q is not proportional to a rational form then Q takes values arbitrarily close to zero at...