Category Archives: exposition

a post aimed to teach something

The infinite lottery

Probability is a mathematical subject where the application of the results to the real world remains controversial, and different schools of thought flourish. Littlewood, in his Miscellany, discusses this, and comes firmly to the conclusion that probability theory can say … Continue reading

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Scottish Combinatorics Meeting 2018

Last week saw the fourth annual Scottish Combinatorial Meeting in Edinburgh, in the Informatics Forum at the University of Edinburgh. The building was new to me, but easy enough to find, and having a terrace with a fine view of … Continue reading

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Polynomially bounded orbit counts

The best news I had yesterday was an email from Justine Falque with a link to a paper that she and Nicolas Thiéry have just put on the arXiv. The 12-page document is only the “short version”, and a longer … Continue reading

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Integrals of groups

Everyone who has studied mathematics knows what the derivative and integral of a function are. The derivative measures rate of change, the integral (the inverse operation) measures area under a curve. They are inverse operations; and two functions have the … Continue reading

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A counting problem

I quite often get questions by email. Mostly I can’t answer them, but sometimes I can, and sometimes the answers might be of more general interest. Suppose that we have m boxes and a supply of identical balls. In how … Continue reading

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A new kind of design?

Rosemary and I have just put on the arXiv a paper prompted by a question by Valery Fedorov. Suppose that we are testing a number v1 of drugs on a number v2 of cancer types. To simplify the protocol, at … Continue reading

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Symmetry vs Regularity

This is the title of a conference to be held next year (2018) from 1 to 7 July, in Pilsen, Bohemia, Czech Republic. The subtitle is “The first 50 years since Weisfeiler-Leman stabilization”, and the webpage is here. If you … Continue reading

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