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Tim Hulshof's
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I am a postdoctoral fellow at PIMS and the UBC probability group. Before I came to UBC, I did my PhD at the Eindhoven University of Technology in the Netherlands. My supervisor was Remco van der Hofstad.

This is my CV (pdf).

Juli & me

Squamish, October 2013

UBC Math dept.

Vancouver, October 2013.

Me

Visegrad, May 2012.


Research interests

Percolation

I like all types of percolation models but am especially partial to long-range percolation. At the moment I am working on a problem involving the one-arm exponent of high-dimensional long-range percolation. In the past I have worked a lot on high-dimensional percolation. My PhD thesis is all about the high-dimensional incipient infinite cluster.
A topic I am currently looking into is hypercube percolation. Hypercube percolation is interesting for many reasons, one of them being that it behaves like an interpolation between percolation on the lattice and the Erdos-Renyi random graph (i.e., percolation on the complete graph).

Bootstrap percolation

Bootstrap percolation is a simple cellular automaton that starts from a random configuration and then grows deterministically. The model is very simple, yet it displays a type of metastable behaviour. Moreover, it is a model that appears to withstand numerical simulation. A project that I am currently working on investigates these difficulties with simulation. A preliminary conclusion is that the leading order term will not dominate the system's behaviour of the model on systems smaller than 10^10^2000 sites (which is pretty large).

Random networks

This is a relatively new interest. I recently started working on a project that aims to investigate certain metastable properties of graph models that describe close-knit communities.