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This paper surveys some recent results by the author and some collaborators, on the existence of invariant Lagrangian graphs for Tonelli Hamiltonian systems.
Quest'articolo si propone di offrire una panoramica sullo studio dei biliardi matematici. Ci concentreremo su una particolare classe, i cosiddetti Biliardi di Birkhoff, in cui il tavolo è costituito da una regione del piano limitata, strettamente convessa e con bordo regolare. Le proprietà dinamiche di questi modelli matematici sono strettamente legate alla forma del tavolo che si considera: comprendere fino a che punto la conoscenza di certi aspetti dinamici permetta di ricostruire la forma del...
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