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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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math 269: seminar in combinatorics
miquel ortega
universitat politecnica de catalunya (upc)
a canonical van der waerden theorem in random sets
abstract:
the canonical van der waerden theorem states that, for large enough $n$, any colouring of $[n]$ gives rise to monochromatic or rainbow $k$-aps. in joint work with alvarado, kohayakawa, morris and mota, we study sparse random versions of this result. more concretely, we determine the threshold at which the binomial random set $[n]_p$ inherits the canonical van der waerden properties of $[n]$, using the container method.
lutz warnke
november 5, 2024
2:00 pm
apm 7321
research areas
combinatorics****************************