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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series A Année : 2013

Dynamics on the infinite staircase

Dynamique sur l'escalier infini

Résumé

For the 'infinite staircase' square tiled surface we classify the Radon invariant measures for the straight line flow, obtaining an analogue of the celebrated Veech dichotomy for an infinite genus lattice surface. The ergodic Radon measures arise from Lebesgue measure on a one parameter family of deformations of the surface. The staircase is a ℤ-cover of the torus, reducing the question to the well-studied cylinder map.

Dates et versions

hal-01299642 , version 1 (08-04-2016)

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Citer

Barak Weiss, Pascal Hubert, W. Patrick Hooper. Dynamics on the infinite staircase. Discrete and Continuous Dynamical Systems - Series A, 2013, 33 (9), pp.4341-4347. ⟨10.3934/dcds.2013.33.4341⟩. ⟨hal-01299642⟩
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