I’m a probabilist mainly interested in random discrete structures, with occasional detours into analysis and combinatorics – hopefully the research-centred content of this blog gives a flavour of what I work on.

I studied for a DPhil (called a PhD at most other places) in the Department of Statistics at Oxford, where my supervisors were Christina Goldschmidt and James Martin. My thesis concerned Self-organised criticality in random graph processes. I now work with Oren Louidor and others at Technion, in Haifa, Israel, where I’m grateful to be supported by a Cohen-Coleman Fellowship.

The purpose of this blog has varied over time, especially as the balance of work hours spend reading theory versus writing papers has fluctuated. My goal is to write 1500-2500 words on relevant topics in probability theory or related areas occasionally, with proper statements and references, but without full technical details when appropriate. Good heuristics are the sort of things I tend to forget as months and years go past, and so for my own benefit I focus on those, though perhaps that sometimes works well for other readers too.

In evenings and during holidays, I am also involved in various academic aspects of the UK’s programme for the International Mathematical Olympiad. Posts about competition problems, or motifs in Euclidean geometry are, unsurprisingly, easier to write than posts about topics close to the frontiers of mathematical knowledge, so have, occasionally, somewhat saturated this blog, but you can exclude these by using the categories in the right-hand column, should you wish!

I remain surprised that blogs like this are not so common, and am always happy to talk about my experiences (positive, negative, and neutral) and logistic issues with anyone who is interested in starting something similar.

The title of the blog was a consequence of *Almost Sure* and *Almost Everywhere* already being taken as WordPress handles. Unintentionally, it also accurately describes my ambitions regarding visiting other countries.

Dominic Yeo

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Hi. I have a quick question for you.

I am a PhD student majoring in statistics. Since I took only introductory mathematical analysis course in undergraduate, I have difficulty with understanding probability theory now, especially measure-related theory. Could you give any comment about any books – better for self-study – or a way to improve knowledge of theoretic probability theory?

Try “Probability and Martingales” by David Williams, or “Probability and Measure” by Patrick Billinglsey. Off the top of my head, I believe both are self-contained. The former is quite brief, and the latter extensive; both are excellent, though Billingsley’s text is my personal favourite and is an absolutely famous book.

Wonderful blog