Sam Thomas // Personal Homepage
Here you can find my publications and what I'm working on, among other things.
I'm doing my PhD with Perla Sousi. My general area of interest is in mixing times of discrete Markov chains.
In particular, I have worked on random walks on random environments.
Additionally, I am interested in stochastic networks and their application, for example to traffic optimisation or random access schemes for resource sharing.
My email address is firstname.lastname@example.org
So far, I have collaborated with the following people:
- Cutoff for Random Walk on Dynamical Erdos-Renyi (with Perla Sousi) -- arXiv version, or latest version (last updated 23/08/18)
- Cutoff for Mixing Times on Random Abelian Cayley Graphs (with Jonathan Hermon) -- arXiv version
- Fast Mixing and Metastability for Loss Network with Alternative Routing According to Load Ratio -- final stages
- Fast Mixing for Multicoloured Hardcore Model and with Short and Stable Queues -- early stages
- Cambridge Analysts' Knowledge Exchange (CAKE), Cambridge, Oct. 2018 -- An Application of Mixing Times to Fibreoptic Networks
- University of Warwick Combinatorics Seminar, Warwick, Feb. 2018 -- Random Walk on Dynamical Erdos-Renyi
- Cambridge Analysts' Knowledge Exchange (CAKE), Cambridge, Nov. 2017 -- Random Walk on Dynamical Erdos-Renyi
- Young European Probabilists (YEP), Eindhoven, Sept. 2017 -- Random Walk on Dynamical Erdos-Renyi
I have done supervisions (primarily for my college, St John's) and examples classes for various courses, as listed below.
- Part III
- 2018/19, Percolation and Random Walks on Graphs
- 2017/18, Percolation and Random Walks on Graphs
- Part IB
- 2018/19, Markov Chains
- 2017/18, Markov Chains
- Part IA
- 2017/18, Analysis I
- 2016/17, Analysis I
- 2017--current: PhD, University of Cambridge
- 2015--2016: Part III, University of Cambridge
- 2012--2015: BA, University of Cambridge