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SUMMARY:The refined Diophantine exponent and its applications in transcend
 ental number theory
DTSTART:20260602T084500Z
DTEND:20260602T094500Z
DTSTAMP:20260608T001700Z
UID:indico-event-16675@indico.math.cnrs.fr
DESCRIPTION:Speakers: Khai Nguyen (ICJ - Lyon 1)\n\nIn 2007\, Adamczewski 
 and Bugeaud introduced the notion of the Diophantine exponent of an infini
 te word as a quantitative measure of repetition\, leading to strong transc
 endence results. In this talk\, by allowing some form of noise\, we introd
 uce the refined Diophantine exponent and use it to obtain transcendence re
 sults and transcendence measures in the sense of Mahler's classification. 
 This notion is also inspired by the work of Corvaja and Zannier on lacunar
 y sequences\; Kebis\, Luca\, Ouaknine\, Scoones\, and Worrell on Sturmian 
 words and k-bonacci words\; and Bell\, Diller\, and Jonsson on transcenden
 tal dynamical degrees.\n\nhttps://indico.math.cnrs.fr/event/16675/
LOCATION:Salle Fokko du Cloux (ICJ\, Université Lyon 1)
URL:https://indico.math.cnrs.fr/event/16675/
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