Tommy Liu

collaborators

3 papers

math.PR2018

Stochastic Resonance for a Model with Two Pathways

Tommy Liu

In this thesis we consider stochastic resonance for a diffusion with drift given by a potential, which has two metastable states and two pathways between them. Depending on the dir…

math.PR2018

A comparative study of stochastic resonance for a model with two pathways by escape times, linear response, invariant measures and the conditional Kolmogorov-Smirnov Test

Tommy Liu

We consider stochastic resonance for a diffusion with drift given by a potential, which has two metastable states and two pathways between them. Depending on the direction of the f…

math.PR2018

A Kolmogorov-Smirnov type test for two inter-dependent random variables

Tommy Liu

Consider $n$ iid random variables, where $ξ_{1}, \dots, ξ_{n}$ are $n$ realisations of a random variable $ξ$ and $ζ_{1}, \dots, ζ_{n}$ are $n$ realisations of a random variable $ζ$ . The…