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Cambridge University Press по журналам "Ergodic Theory and Dynamical Systems"

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  • Pelikan Stephan; Slaminka Edward E. (Cambridge University Press. Cambridge, UK, 1987-09-01)
    The study of area preserving maps of manifolds has an extensive history in the theory of dynamical systems. One interest has been in the behaviour of such maps near an isolated fixed point. In 1974 Carl Simon proved the ...
  • GUILLOUX ANTONIN (Cambridge University Press. Cambridge, UK, 2010-08-01)
    The repartition of dense orbits of lattices in the Euclidean plane were described by Ledrappier and Nogueira. We present here an elementary description of the gaps appearing in the experimentations. The main idea behind ...
  • GUILLOUX ANTONIN (Cambridge University Press. Cambridge, UK, 2010-08-01)
    The repartition of dense orbits of lattices in the Euclidean plane were described by Ledrappier and Nogueira. We present here an elementary description of the gaps appearing in the experimentations. The main idea behind ...
  • Arteaga Carlos (Cambridge University Press. Cambridge, UK, 1993-06-01)
    In this article we consider conjugacies between differentiable expanding maps. We give a necessary and sufficient condition for a conjugating map to be absolutely continuous, in terms of the Jacobian around periodic orbits.
  • Adl-Zarabi Kourosh (Cambridge University Press. Cambridge, UK, 1996-02-01)
    Let Ω be a bounded region in Rn and let be a partition of Ω into a finite number of subsets having piecewise C2 boundaries. The boundaries may contain cusps. Let τ: Ω → Ω be piecewise C2 on and expanding in the sense ...
  • Johnson Stewart D. (Cambridge University Press. Cambridge, UK, 1991-12-01)
    It it shown that a minimal attractor for a continuous, lebesgue non-singular transformation on an interval with no wandering intervals is either a periodic orbit, a finite collection of intervals, a simply attracting cantor ...
  • Alligood Kathleen T.; Yorke James A. (Cambridge University Press. Cambridge, UK, 1992-09-01)
    For a homeomorphism of the plane, the basin of attraction of a fixed point attractor is open, connected, and simply-connected, and hence is homeomorphic to an open disk. The basin boundary, however, need not be homeomorphic ...
  • Sørensen Dan Erik Krarup (Cambridge University Press. Cambridge, UK, 1996-06-01)
    We consider the one-parameter family of quadratic polynomials: i.e. monic centered quadratic polynomials with an indifferent fixed point αt and prefixed point −αt. Let At, be any one of the sets {0, ±αt}, {±αt}, {0, αt}, ...
  • Hall Glen Richard (Cambridge University Press. Cambridge, UK, 1981-09-01)
    In this paper we construct an example of a homeomorphism of the circle onto itself which is C∞, has no periodic points and no dense orbits. Moreover, the homeomorphism will have no more than two points of zero derivative. ...
  • Bruckner A. M.; Smítal J. (Cambridge University Press. Cambridge, UK, 1993-03-01)
    We prove that an infinite W ⊂ (0, 1) is an ω-limit set for a continuous map ƒ of [0,1] with zero topological entropy iff W = Q ∪ P where Q is a Cantor set, and P is countable, disjoint from Q, dense in W if non-empty, and ...
  • Kammeyer Janet Whalen (Cambridge University Press. Cambridge, UK, 1992-06-01)
    The isometric extensions of a multidimensional Bernouli shift are classified completely, up to C-isomorphism, and up to isomorphism. If such an extension is weakly mixing then it must be Bernoulli; otherwise, it has a ...
  • Alaoui Aziz El Kacimi; Nicolau Marcel (Cambridge University Press. Cambridge, UK, 1993-12-01)
    We consider foliations F obtained as the suspension of a linear foliation F0 on n by means of a linear Anosov diffeomorphism A of n keeping F0 invariant. Under suitable conditions on A the foliations F are shown to be ...
  • MATSUMOTO KENGO (Cambridge University Press. Cambridge, UK, 2010-02-01)
    We present a class of subshifts ZN,N=1,2,…, whose associated C*-algebras 𝒪ZN are simple, purely infinite and not stably isomorphic to any Cuntz–Krieger algebra nor to the Cuntz algebra 𝒪∞. The class of the subshifts is ...
  • EYNARD HÉLÈNE (Cambridge University Press. Cambridge, UK, 2010-06-01)
    Let 𝒟r+[0,1], r≥1, denote the group of orientation-preserving 𝒞r diffeomorphisms of [0,1]. We show that any two representations of ℤ2 in 𝒟r+[0,1], r≥2, are connected by a continuous path of representations of ℤ2 in ...
  • Gutierrez C. (Cambridge University Press. Cambridge, UK, 1987-12-01)
    Let M be a compact manifold that contains a two-dimensional punctured torus. Given p ∈ M and an integer r ≥ 2, there exists X ∈ ∞(M) having non-trivial recurrent trajectories and such that, for some neighbourhood of ...
  • King Jonathan (Cambridge University Press. Cambridge, UK, 1985-09-01)
    The class of k-automorphisms is not contained in a certain class of skew products over a Bernoulli base. The non-identity fibre transformation in the skew is allowed to have positive or even infinite entropy. A difficulty ...
  • Zimmer Robert J. (Cambridge University Press. Cambridge, UK, 1985-06-01)
    In this paper we study actions of lattices in semisimple groups preserving a G-structure of finite type.
  • Cowling Michael; Zimmer Robert J. (Cambridge University Press. Cambridge, UK, 1989-06-01)
    We study questions concerning the ergodic theory, von Neumann algebras, geometry, and topology of actions of lattices in Sp (1, n).
  • Dumortier Freddy; Kokubu Hiroshi; Oka Hiroe (Cambridge University Press. Cambridge, UK, 1995-10-01)
    A degenerate vector field singularity in R3 can generate a geometric Lorenz attractor in an arbitrarily small unfolding of it. This enables us to detect Lorenz-like chaos in some families of vector fields, merely by ...
  • Fedorov Andrey; Rubshtein Ben-Zion (Cambridge University Press. Cambridge, UK, 1996-12-01)
    Let G be a countable group of automorphisms of a Lebesgue space (X, m) and let [G] be the full group of G. For a pair of countable ergodic subgroups H1 and H2 of [G], the following problem is considered: when are the full ...