Geodesic
Topological entropy of one-dimensional Williams solenoids
Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 859-866 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the present paper, we make correspond to each extending mapping of a ramified one-dimensional manifold into itself, which satisfies the natural conditions, an integer-valued matrix with nonnegative elements. It is proven that the topological entropy of this mapping, and the shift automorphism generated by it of the corresponding Williams solenoid, equals the logarithm of the maximal eigenvalue of the matrix thus introduced. 
@article{MZM_1973_14_6_a10,
     author = {A. Yu. Zhirov and Yu. I. Ustinov},
     title = {Topological entropy of one-dimensional {Williams} solenoids},
     journal = {Matemati\v{c}eskie zametki},
     pages = {859--866},
     year = {1973},
     volume = {14},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a10/}
}
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A. Yu. Zhirov; Yu. I. Ustinov. Topological entropy of one-dimensional Williams solenoids. Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 859-866. http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a10/