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

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  • Rudolph Daniel J. (Cambridge University Press. Cambridge, UK, 1990-06-01)
    Let p and q be relatively prime natural numbers. Define T0 and S0 to be multiplication by p and q (mod 1) respectively, endomorphisms of [0,1). Let μ be a borel measure invariant for both T0 and S0 and ergodic for the ...
  • 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 ...
  • Sinai Ya. G. (Cambridge University Press. Cambridge, UK, 1988-12-01)
    In the fall of 1957 A. N. Kolmogorov started lecturing on the theory of dynamical systems and supervised a seminar on the same theme at the Mechanical–Mathematical Department of Moscow State University. He began his lectures ...
  • 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.
  • Benedicks Michael; Young Lai-Sang (Cambridge University Press. Cambridge, UK, 1992-03-01)
    We study the quadratic family and show that for a positive measure set of parameters the map has an absolutely continuous invariant measure that is stable under small random perturbations.
  • 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}, ...
  • Alexeyev V. M.; Osipov Yu. S. (Cambridge University Press. Cambridge, UK, 1982-12-01)
    In the study of the motion of a particle with negligible mass in the gravitational field created by other bodies (for example, the motion of the comet within the Solar system) it is natural to decompose its trajectory ...
  • 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. ...
  • Innami Nobuhiro (Cambridge University Press. Cambridge, UK, 1987-06-01)
    The Riemannian flat metrics on tori T2 are characterized by a weakly ergodic property of the geodesic flows.
  • 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 ...
  • Bick T. A.; Coffey John (Cambridge University Press. Cambridge, UK, 1991-03-01)
    We use a new method to construct a class of strongly uniformly distributed D-sequences. Such sequences are used to determine ergodic measure-preserving transformations.
  • 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 ...
  • Pollicott Mark (Cambridge University Press. Cambridge, UK, 1984-03-01)
    In this paper a new proof of a theorem of Ruelle about real Perron-Frobenius type operators is given. This theorem is then extended to complex Perron-Frobenius type operators in analogy with Wielandt's theorem for matrices. ...