Array
DOI:
https://doi.org/10.12775/TMNA.2021.042Słowa kluczowe
ArrayAbstrakt
ArrayBibliografia
S. Addas-Zanata, Instability for the rotation set of homeomorphisms of the torus homotopic to the identity, Ergodic Theory Dynam. Systems 24 (2004), 319–328.
G. Atkinson, Recurrence of cocycles and random walks., J. London Math. Soc. 13 (1976), no. 2, 486–488.
W. Bonomo, H. Lima and P. Varandas, The rotation sets of most volume preserving homeomorphisms on Tm are stable, convex and rational polyhedrons, Israel J. Math. 243 (2021), 81–102.
W. Bonomo, H. Lima and P. Varandas, Shape and stability of rotation sets for incompressible vector fields on the torus Tm , Preprint Researchgate, 10.13140/RG.2.2.14208.66568.
R. Bowen, Topological entropy for noncompact sets, Trans. Amer. Math Soc. 184 (1973), 125–136.
J. Conejeros and F. Tal, Applications of forcing theory to homeomorphisms of the closed annulus, Preprint ArXiv: 1909.09881v1.
J. Franks, Recurrence and fixed points for surface homeomorphisms, Ergodic Theory Dynam. Systems 8 (1988), 99–107.
J. Franks, Realizing rotation vectors for torus homeomorphisms, Trans. Amer. Math. Soc. 311 (1989), no. 1, 107–115.
W. Geller and M. Misiurewicz, Rotation and entropy, Trans. Amer. Math. Soc. 351 (1999), no. 7, 2927–2948.
P.-A. Guiheneuf and A. Koropecki, Stability of the rotation set of area-preserving toral homeomorphisms, Nonlinearity 30 (2017), 1089–1096.
P.-A. Guiheneuf and T. Lefeuvre, On the genericity of the shadowing property for conservative homeomorphisms, Proc. Amer. Math. Soc. 146 (2018), 4225–4237.
O. Jenkinson, Rotation, entropy and equilibrium states, Trans. Amer. Math. Soc. 353 (2001), 3713–3739.
O. Jenkinson, Ergodic optimization, Discrete Contin. Dyn. Syst. A 15 (2006), 197–224.
T. Kucherenko and C. Wolf, Geometry and entropy of generalized rotation sets, Israel J. Math. 199 (2014), no. 791.
P. Le Calvez and F.A. Tal, Forcing theory for transverse trajectories of surface homeomorphisms, Invent. Math. 212 (2018), no. 2, 619–729.
H. Lima and P. Varandas, On the rotation sets of generic homeomorphisms on the orus Tm , Ergodic Theory Dynam. Systems 41 (2021), 2983-3022.
J. Llibre and R. MacKay, Rotation vectors and entropy for homeomorphisms of the torus homotopic to the identity, Ergodic Theory Dynam. Systems 11 (1991), no. 1, 115–128.
M. Misiurewicz and K. Ziemian, Rotation sets for maps of tori, J. London Math. Soc. 40 (1989), no. 3, 490–506.
I. Morris, Ergodic optimization for generic continuous functions, Discrete Contin. Dyn. Syst. 27 (2010), 383–388.
J. Oxtoby and S. Ulam, Measure-preserving homeomorphisms and metrical transitivity, Ann. of Math. 42 (1941), no. 2, 874–920.
S. Pavez-Molina, Generic rotation sets, Ergodic Theory Dynam. Systems 42 (2022), no. 1, 250–262.
M. Pollicott, Rotation sets for homeomorphisms and homology, Trans. Amer. Math. Soc. 331 (1992), no. 2, 881–894.
K. Sigmund, Generic properties of invariant measures for Axiom A diffeomorphisms, Invent. Math. 11 (1970), 99–109.
K. Sigmund, On dynamical systems with the specification property, Trans. Amer. Math. Soc. 190 (1974), 285–299.
Pobrania
Opublikowane
Jak cytować
Numer
Dział
Licencja
Prawa autorskie (c) 2022 Array
Utwór dostępny jest na licencji Creative Commons Uznanie autorstwa – Bez utworów zależnych 4.0 Międzynarodowe.
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0
