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Airy function
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=== Probability === In the mid-1980s, the Airy function was found to be intimately connected to [[Chernoff's distribution]].<ref>{{cite journal|title=Chernoff's distribution and differential equations of parabolic and Airy type|last1=Groeneboom|first1=Piet|last2=Lalley|first2=Steven|last3=Temme|first3=Nico|journal=[[Journal of Mathematical Analysis and Applications]]|volume=423|issue=2|pages=1804–1824|year=2015|doi=10.1016/j.jmaa.2014.10.051 |s2cid=119173815 |doi-access=free|arxiv=1305.6053}}</ref> The Airy function also appears in the definition of [[Tracy–Widom distribution]] which describes the law of largest eigenvalues in [[Random matrix]]. Due to the intimate connection of random matrix theory with the [[Kardar–Parisi–Zhang equation]], there are central processes constructed in KPZ such as the [[Airy process]].<ref>{{cite book|last1=Quastel|first1=Jeremy|last2=Remenik|first2=Daniel|title=Topics in Percolative and Disordered Systems |chapter=Airy Processes and Variational Problems |series=Springer Proceedings in Mathematics & Statistics |year= 2014|volume=69 |pages=121–171 |doi=10.1007/978-1-4939-0339-9_5 |arxiv=1301.0750 |isbn=978-1-4939-0338-2 |s2cid=118241762 |chapter-url=https://link.springer.com/chapter/10.1007/978-1-4939-0339-9_5}}</ref>
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