CRM: Centro De Giorgi
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Regular and Stochastic Behaviour in Dynamical Systems

On dynamics of non-Markov systems

speaker: Sakshi Jain (Università di Roma Tor Vergata)

abstract: We study transfer operators associated to piecewise monotone interval transformations and show that the essential spectrum is large whenever the Banach space bounds L∞ and the transformation fails to be Markov. Constructing a family of Banach spaces we show that the lower bound on the essential spectral radius is optimal. Indeed, these Banach spaces realise an essential spectral radius as close as desired to the theoretical best possible case.

Thu 8 Jun, 14:30 - 15:30, Aula Dini
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