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Graph towers, laminations and their inva...
Bédaride, Nicolas...
Graph towers, laminations and their invariant measures by Bédaride, Nicolas ( Author )
N.A
27-03-2015
In this paper we present a combinatorial machinery, consisting of a graph tower Γ← and vector towers v← on Γ←, which allows us to efficiently describe all invariant measures μ=μv← on any given shift space over a finite alphabet. The new technology admits a number of direct applications, in particular concerning invariant measures on non-primitive substitution subshifts, minimal subshifts with many ergodic measures, or an efficient calculation of the measure of a given cylinder. It also applies to currents on a free group FN, and in particular the set of projectively fixed currents under the action of a (possibly reducible) endomorphism φ:FN→FN is determined, when φ is represented by a train track map.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1503.08000
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