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# Tag Archives: Erdos

## Sum-free sets

This semester, Han Yu has run a reading group on Arithmetic Combinatorics. Mostly we have been following the excellent notes by Tuomas Orponen. I gave two talks. The first was a proof of the result of Ellenberg and Gijswijt on … Continue reading

Posted in exposition
Tagged Baire category, Calkin, density, Erdos, measure, Roth, Schoen, Schur, Szemeredi, van der Waerden
2 Comments

## History of the Random Graph

That wonderful object, the countable random graph, was first considered by Erdős and Rényi in their paper on “Asymmetric graphs” in 1963. After proving that a large random finite graph (edges chosen independently with probability 1/2) has (with high probability) … Continue reading

Posted in exposition, history
Tagged back-and-forth, Cantor, Erdos, Fraisse, homogeneous, Huntington, Rado, Renyi, universal, Urysohn
7 Comments