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Published 2014 | Submitted
Book Section - Chapter Open

Combinatorial theorems relative to a random set

Abstract

We describe recent advances in the study of random analogues of combinatorial theorems.

Additional Information

© 2014 by SEOUL ICM 2014 Organizing Committee. This research was supported by a Royal Society University Research Fellowship. I would like to thank Jacob Fox, Tim Gowers, Rob Morris, Wojtek Samotij, Mathias Schacht, Benny Sudakov and Yufei Zhao for helpful discussions on the topics in this paper. Particular thanks are due to Wojtek Samotij for a number of detailed comments on the manuscript.

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