• in topology, a pseudo-Anosov map is a type of a diffeomorphism or homeomorphism of a surface. It is a generalization of a linear Anosov diffeomorphism...
    4 KB (625 words) - 01:57, 28 April 2021
  • Thumbnail for Dmitri Anosov
    In 2014, he died at the age of 77. Anosov diffeomorphism Anosov map Pseudo-Anosov map "Dmitrii Viktorovich Anosov - Biography". Аносов, Дмитрий Викторович...
    3 KB (132 words) - 19:18, 17 December 2024
  • particularly in the fields of dynamical systems and geometric topology, an Anosov map on a manifold M is a certain type of mapping, from M to itself, with rather...
    11 KB (1,941 words) - 18:40, 1 July 2025
  • infinity of the universal cover of a fiber of a mapping torus of a pseudo-Anosov map is a sphere-filling curve. (Here the sphere is the sphere at infinity...
    15 KB (1,969 words) - 10:33, 1 May 2025
  • carry a complete hyperbolic metric if and only if the monodromy is a pseudo-Anosov map. Another consequence of the Geometrisation conjecture is that any...
    16 KB (2,217 words) - 15:58, 22 June 2024
  • simple closed curves on S (in this case, g is called reducible); or g is pseudo-Anosov. The case where S is a torus (i.e., a surface whose genus is one) is...
    8 KB (999 words) - 15:38, 16 February 2024
  • Thumbnail for Kleinian group
    of doubly degenerate groups and space-filling curves associated to pseudo-Anosov maps. Ahlfors measure conjecture Density theorem for Kleinian groups Ending...
    19 KB (2,356 words) - 18:53, 22 June 2025
  • Thumbnail for Robert Penner
    theory of train tracks and generalized Thurston's construction of pseudo-Anosov maps. After postdoctoral positions at Princeton University and at the Mittag-Leffler...
    13 KB (1,273 words) - 17:52, 29 October 2024
  • (2013), number 3, pages 1581–1672. MR 3073931 Out(Fn) Train track map Pseudo-Anosov map "Institute for Advanced Study Annual Report 1984" (PDF). Retrieved...
    7 KB (531 words) - 16:59, 19 April 2025
  • the following characterisation of pseudo-Anosov mapping classes (i.e. mapping classes which contain a pseudo-Anosov element), which was in essence known...
    8 KB (1,393 words) - 15:02, 18 October 2024
  • Thumbnail for Mladen Bestvina
    (2010), no. 1, pp. 61–105 Real tree Artin group Out(Fn) Train track map Pseudo-Anosov map Word-hyperbolic group Mapping class group Whitehead conjecture "Mladen...
    17 KB (1,761 words) - 08:19, 9 February 2024
  • manifolds, with the horocycles appearing perpendicular to the geodesics. See Anosov flow for a worked example of the fibration: in this example, the geodesics...
    12 KB (1,703 words) - 11:09, 1 June 2025
  • Thumbnail for Chaos theory
    Chaos theory (redirect from Chaotic map)
    Swinging Atwood's machine Tilt A Whirl Other related topics Amplitude death Anosov diffeomorphism Catastrophe theory Causality Chaos as topological supersymmetry...
    116 KB (13,059 words) - 04:19, 24 June 2025
  • homeomorphism is, up to isotopy, either reducible, of finite order or pseudo-anosov. Since then train tracks became a standard tool in the study of algebraic...
    21 KB (2,675 words) - 04:18, 17 June 2024
  • ; or pseudo-Anosov. The main content of the theorem is that a mapping class which is neither of finite order nor reducible must be pseudo-Anosov, which...
    31 KB (4,595 words) - 03:39, 1 November 2023
  • of the monodromy pseudo-Anosov homeomorphism of S for this fibration of M. In particular, this description implies that the map j is uniformly finite-to-one...
    27 KB (4,116 words) - 21:42, 26 May 2025
  • (audio) Przybylski's Star Pseudo-Anosov map Pseudo-Euclidean space Pseudo-Goldstone boson Pseudo-Riemannian manifold Pseudo Stirling cycle Pseudogap Pseudophakic...
    25 KB (2,604 words) - 16:21, 28 December 2024
  • Thumbnail for Diffeomorphism
    diffeomorphism leaving a simple closed curve invariant; and those equivalent to pseudo-Anosov diffeomorphisms. In the case of the torus S 1 × S 1 = R 2 / Z 2 {\displaystyle...
    26 KB (4,166 words) - 19:23, 15 May 2025
  • fully irreducible provides a key Out(Fn) counterpart of the notion of a pseudo-Anosov element of the mapping class group of a finite type surface. Fully irreducibles...
    13 KB (2,129 words) - 15:48, 30 April 2025
  • is a 3-manifold that fibers over the circle and whose monodromy is a pseudo-Anosov diffeomorphism, then the interior of M has a complete hyperbolic metric...
    9 KB (1,048 words) - 03:35, 29 September 2024
  • Thumbnail for Hamiltonian mechanics
    Encyclopaedia of Mathematical Sciences, Dynamical Systems III. Vol. 3. Anosov, D. V. Berlin: Springer-Verlag. ISBN 0-387-17002-2. OCLC 16404140. Arnol'd...
    53 KB (9,323 words) - 04:39, 26 May 2025
  • Thumbnail for Force
    Encyclopaedia of Mathematical Sciences, Dynamical Systems III. Vol. 3. Anosov, D. V. Berlin: Springer-Verlag. ISBN 0-387-17002-2. OCLC 16404140. Newton...
    96 KB (11,777 words) - 14:52, 25 May 2025
  • Alexandroff compactification and the Alexandrov topology Dmitri Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser...
    95 KB (9,622 words) - 08:43, 23 June 2025
  • Thumbnail for Braid group
    interpretation of braids, each braid may be classified as periodic, reducible or pseudo-Anosov. If a braid is given and one connects the first left-hand item to the...
    36 KB (4,891 words) - 22:52, 19 June 2025
  • exactly-solvable continuous-time ergodic systems, such as Hadamard's billiards, or the Anosov flow on the tangent space of PSL(2,R). Research on irreversibility in quantum...
    34 KB (5,136 words) - 15:56, 28 February 2025
  • (Stony Brook): Mass in Kähler Geometry Ian Agol (UC Berkeley and IAS): Pseudo-Anosov stretch factors and homology of mapping tori Davi Maximo (Stanford):...
    27 KB (2,867 words) - 05:58, 19 May 2025
  • Thumbnail for List of Russian people
    Alexandroff compactification and the Alexandrov topology Dmitri Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser...
    205 KB (22,861 words) - 19:54, 30 June 2025