Zobrazeno 1 - 10
of 53
pro vyhledávání: '"J.-M. Gambaudo"'
Publikováno v:
Ergodic Theory and Dynamical Systems. 31:1109-1161
Let $A$ be a finite set and $\phi:A^Z\to R$ be a locally constant potential. For each $\beta>0$ ("inverse temperature"), there is a unique Gibbs measure $\mu_{\beta\phi}$. We prove that, as $\beta\to+\infty$, the family $(\mu_{\beta\phi})_{\beta>0}$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea239ae00e1e4c3521acc2408ad5b0ba
https://doi.org/10.1017/s014338571000026x
https://doi.org/10.1017/s014338571000026x
Publikováno v:
Transactions of the American Mathematical Society. 359:2305-2315
In this paper we study conditions under which a free minimal Z d -action on the Cantor set is a topological extension of the action of d rotations, either on the product T d of d 1-tori or on a single 1-torus T 1 . We extend the notion of linearly re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc38357a318b4eaf9c35f8487f0c1c6e
https://doi.org/10.1090/s0002-9947-06-04027-x
https://doi.org/10.1090/s0002-9947-06-04027-x
Publikováno v:
Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2006, 265 (1), pp.165-188. ⟨10.1007/s00220-006-1531-x⟩
Communications in Mathematical Physics, Springer Verlag, 2006, 265 (1), pp.165-188. ⟨10.1007/s00220-006-1531-x⟩
In this paper, we consider the Frenkel-Kontorova model of a one dimensional chain of atoms submitted to a potential. This potential splits into an interaction potential and a potential induced by an underlying substrate which is a quasicrystal. Under
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2487bed87b247b031ab3733b3fe8512d
https://doi.org/10.1007/s00220-006-1531-x
https://doi.org/10.1007/s00220-006-1531-x
Autor:
J.-M. Gambaudo, Slimane Ben Miled
Publikováno v:
Nonlinearity. 10:1627-1641
For orientation preserving-homeomorphisms of the 2-disk, we consider the forcing relation among braid types of periodic orbits. We show that if a braid type forces a braid type , then either is an extension of or forces infinitely many extensions of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a3e7ccda52aa0b5b0af772b93a2a718
https://doi.org/10.1088/0951-7715/10/6/011
https://doi.org/10.1088/0951-7715/10/6/011
Autor:
J. M. Gambaudo, J. Rocha
Publikováno v:
Nonlinearity. 7:1251-1259
A C2 diffeomorphism of the two-sphere, whose periodic points are hyperbolic and infinitely many, can be C1 approximated by a diffeomorphism with homoclinic points.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72358742839785fc75eb65fbd8ba91ce
https://doi.org/10.1088/0951-7715/7/4/010
https://doi.org/10.1088/0951-7715/7/4/010
Autor:
Marcy Barge, J.-M. Gambaudo
Given an n-dimensional substitution whose associated linear expansion is unimodular and hyperbolic, we use elements of the one-dimensional integer \v{C}ech cohomology of the associated tiling space to construct a finite-to-one semi-conjugacy, called
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0355e81d2e068227774179a2aefebefe
http://arxiv.org/abs/1111.6641
http://arxiv.org/abs/1111.6641
Publikováno v:
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
This paper concerns self-similar tilings in dimension 2. We consider the number of occurrences of a given tile in any domain bounded by a Jordan curve. For a large class of self-similar tilings, including most known examples, we give estimates of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::747679095d16463eba428608dcc0eb2f
Publikováno v:
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Analysis & Pde
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Analysis & Pde
We show that every linearly repetitive Delone set in the Euclidean d-space R d , with d ⩾ 2 , is equivalent, up to a bi-Lipschitz homeomorphism, to the integer lattice Z d . In the particular case when the Delone set X in R d comes from a primitive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0652d8ecf194518532e18991bb101f9d
Publikováno v:
Nonlinearity. 6:653-663
Let f be a C1+ in orientation preserving diffeomorphism of the two-disk with positive topological entropy. The authors define for f an interval of topological invariants. Each point in this interval describes the way the elements of an infinite seque
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36dc57a130619e818c62b92c30394f9a
https://doi.org/10.1088/0951-7715/6/5/001
https://doi.org/10.1088/0951-7715/6/5/001
Let $\Sigma$ be a finite alphabet, $\Omega=\Sigma^{\mathbb{Z}^{d}}$ equipped with the shift action, and $\mathcal{I}$ the simplex of shift-invariant measures on $\Omega$. We study the relation between the restriction $\mathcal{I}_n$ of $\mathcal{I}$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ae364b7659cdbc0bd3d55f040eec1ac
http://arxiv.org/abs/1011.2442
http://arxiv.org/abs/1011.2442