printable pdf
比利时vs摩洛哥足彩 ,
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

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