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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series A Année : 2011

Extensive escape rate in lattices of weakly coupled expanding maps with holes

Résumé

This paper discusses possible approaches to the escape rate in infinite lattices of weakly coupled maps with uniformly expanding repeller. It is proved that computed-via-volume rates of spatially periodic approximations grow linearly with the period size, suggesting normalized escape rate as the appropriate notion for the infinite system. The proof relies on symbolic dynamics and is based on the control of cumulative effects of perturbations within cylinder sets. A piecewise affine diffusive example is presented that exhibits monotonic decay of the escape rate with coupling intensity.
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Dates et versions

hal-00495616 , version 1 (28-06-2010)

Identifiants

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Jean-Baptiste Bardet, Bastien Fernandez. Extensive escape rate in lattices of weakly coupled expanding maps with holes. Discrete and Continuous Dynamical Systems - Series A, 2011, 31 (3), pp.669 - 684. ⟨10.3934/dcds.2011.31.669⟩. ⟨hal-00495616⟩
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