seminar: Perturbations of dispersing billiards via spectral methods
speaker: Mark Demers (Department of Mathematics, Fairfield University)abstract: We will discuss perturbations of the billiard map associated with a periodic Lorentz gas via the stability of the spectrum of the associated transfer operator. Recently, we constructed Banach spaces and norms on which the transfer operator for the unperturbed billiard map enjoys a spectral gap. We will present a number of perturbations which fit into this functional analytic framework and for which the spectral gap persists, including: movements and deformations of scatterers, external forces with thermostatting, twists or kicks at reflections, and random perturbations composed of these various classes. This approach recovers many known results for these systems and establishes several new ones. This is joint work with Hongkun Zhang
timetable:
Tue 8 Apr, 14:30 - 15:30, Sala Conferenze Centro De Giorgi
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