Category Archives: My Research

Non-Existence of Patterns in Reaction-Diffusion Systems

In writing up several recent papers I have spent some time reading about Reaction-Diffusion systems and the kinds of behaviour they can have. I will likely blog about these kinds of equations more often, as well as applications of them … Continue reading

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Dissipative Functions and Reaction-Diffusion Equations

I want to review some aspects of dynamical systems theory for a class of dissipative systems which are particularly simple. These are systems that posses a Lyapunov function. Dissipative systems are mathematical objects that evolve in time, but remain in … Continue reading

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Percolating Ideas

Today I want to write briefly about some of what I have been learning about Percolation Theory. I will try and make this interesting to the layperson, but some of the details require a bit of mathematical maturity. As always, questions … Continue reading

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A New Beginning

I have recently started as a DPhil student at the University of Oxford in the UK. The trip was a bit longer than anticipated, but the experience so far here has been incredible. My wife’s blog details many of the … Continue reading

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A Stroll Through Dynamics (and some Random Walks too)

Dynamical Systems is a vast area of mathematics, and one in which I have some small experience with a small bit of the research community. I won’t go into the overall field and all of its various subfields. Rather, I … Continue reading

Posted in Expository, Mathematical, My Research | 1 Comment