Papers by E. Arthur Robinson
dialnet.unirioja.es
A subset˙ ޒ d is the spectrum of a model set ޒ d if and only if it is a countable subgroup. T... more A subset˙ ޒ d is the spectrum of a model set ޒ d if and only if it is a countable subgroup. The same result holds for˙ b G for a large class of locally compact abelian groups G.
Ergod. Th. & Dynam. Sys.(2010), 30, 953956 c Cambridge University Press, 2010
Cambridge Univ Press
Akin, E., Glasner, E., Huang, W., Shao, S. and Ye, X. Sufficient conditions under which a transit... more Akin, E., Glasner, E., Huang, W., Shao, S. and Ye, X. Sufficient conditions under which a transitive system is chaotic Antonevich, AB, Bakhtin, VI and Lebedev, AV T-entropy and variational principle for the spectral radius of transfer and weighted shift operators Arthur Robinson, E. and ...
This paper shows that there is a close relationship between three groups: the dynamical cohomolog... more This paper shows that there is a close relationship between three groups: the dynamical cohomology of a 0-dimensional substitution dynamical system (X, T ), the first integerCech cohomology groupȞ 1 (Xg) of the corresponding 1-dimensional tiling space Xg, for a given heigh vector g, and the point-spectrum E Tg of the tiling flow (Xg, T t g ). In particular, the group of eigenfunctions of (Xg, T t g ) can be embedded as a subgroup ofȞ 1 (Xg). There is a real-valued functional W onȞ 1 (Xg), called the winding number, that assigns each eigenfunction its eigenvalue. The paper gives conditions for W to be injective and for the image of W to equal E Tg . In the injective case, the spectrum does not depend on the height g, but is completely determined by H 1 (Xg).
Ergod. Th. & Dynam. Sys.(2010), 30, 635638 c Cambridge University Press, 2010
Cambridge Univ Press
Akin, E., Glasner, E., Huang, W., Shao, S. and Ye, X. Sufficient conditions under which a transit... more Akin, E., Glasner, E., Huang, W., Shao, S. and Ye, X. Sufficient conditions under which a transitive system is chaotic Antonevich, AB, Bakhtin, VI and Lebedev, AV T-entropy and variational principle for the spectral radius of transfer and weighted shift operators Arthur Robinson, E. and ...
Ergodic Theory and Dynamical …
Ergodic Theory and …, Jan 1, 2011
Tilings associated with non-Pisot matrices (Pavages associés à des matrices non-Pisot)
Annales de l'institut Fourier, Jan 1, 2006
logo, Avec cedram.org, English. ...
Rank-one< img src=/fulltext_content/ETS/xs2124. gif alt= xs2124 height= 12pt></img>< sup>< i> d</i></sup> actions and directional entropy
Ergodic Theory and …
We study the dynamic properties of rank-one d actions as a function of the geometry of the shapes... more We study the dynamic properties of rank-one d actions as a function of the geometry of the shapes of the towers generating the action. Some basic properties require only minimal restrictions on the geometry of the towers. Our main results concern the directional entropy of rank-one d ...
Ergod. Th. & Dynam. Sys.(2009), 29, 19972000 c 2009 Cambridge University Press Printed in the United Kingdom
Cambridge Univ Press
... 419 D´IAZ, LJ AND GORODETSKI, A. Non-hyperbolic ergodic measures for non-hyperbolic homoclini... more ... 419 D´IAZ, LJ AND GORODETSKI, A. Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes, 1479 D´IAZ, LJ, HORITA, V., RIOS, I ... AH AND MORTISS, G. On the critical dimensions of product odometers, 475 DOS SANTOS, NM AND URZ ´UA-LUZ, R. Minimal ...
Symbolic Dynamics and Tilings of
… Mathematical Society, Short Course, January 4 …, Jan 1, 2002
Proceedings of Symposia in Applied Mathematics Volume 60, 2004 Symbolic Dynamics and Tilings of E... more Proceedings of Symposia in Applied Mathematics Volume 60, 2004 Symbolic Dynamics and Tilings of E. Arthur Robinson, Jr. Abstract. Aperiodic tilings of Euclidean space can profitably be studied from the point of view of dynamical systems theory. This study takes place via ...
Dynamics, ergodic theory, and geometry, Jan 1, 2007
A subset˙ ޒ d is the spectrum of a model set ޒ d if and only if it is a countable subgroup. T... more A subset˙ ޒ d is the spectrum of a model set ޒ d if and only if it is a countable subgroup. The same result holds for˙ b G for a large class of locally compact abelian groups G.
The maximal Abelian sub-extension determines weak mixing for group extensions
AMERICAN MATHEMATICAL SOCIETY, Jan 1, 1992
Abstract. Weak mixing is an important property for group extensions because its absence is the pr... more Abstract. Weak mixing is an important property for group extensions because its absence is the principal obstruction to lifting a large number of stronger mix-ing properties. Whether or not an extension is weakly mixing can be determined by studying the sub-extension ...
The dynamical theory of tilings and quasicrystallography, Ergodic theory of Zd actions (Warwick, 19931994)
London Math. Soc. Lecture Note Ser
Ergodic Theory and Dynamical …, Jan 1, 2011
Generalized β-expansions, substitution tilings and local finiteness, to appear
Transactions Amer. Math. Soc
Zd rotations are square rank 1
Preprint, Jan 1, 2005
On the absence of invariant measures with locally maximal entropy for a class of Z~ d shifts of finite type
PROCEEDINGS-AMERICAN MATHEMATICAL …, Jan 1, 1999
Abstract. We prove that for a class of Z d shifts of finite type, d &amp;gt; 1, any in-varian... more Abstract. We prove that for a class of Z d shifts of finite type, d &amp;gt; 1, any in-variant measure which is not a measure of maximal entropy can be perturbed a small amount in the weak* topology to an invariant measure of higher entropy. Namely, there are no invariant measures which ...
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Papers by E. Arthur Robinson