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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
Anosov families were introduced by A. Fisher and P. Arnoux motivated by generalizing the notion of Anosov diffeomorphism defined on a compact Riemannian manifold. Roughly, an Anosov family is a two-sided sequence of diffeomorphisms (or non-stationary dynamical system) with similar behavior to an Anosov diffeomorphisms. We show that the set consisting of Anosov families is an open subset of the set consisting of two-sided sequences of diffeomorphisms, which is equipped with the strong topology (or Whitney topology).
목차
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참고문헌 (12)
참고문헌 신청
P. Arnoux / 2005 / Anosov families, renormalization and non-stationary subshifts / Ergodic Theory Dynam. Systems 25(3):661~709
V. I. Bakhtin / 1995 / Random processes generated by a hyperbolic sequence of mappings. I / Russian Acad. Sci. Izv. Math. 44(2):247~279
V. I. Bakhtin / 1995 / Random processes generated by a hyperbolic sequence of mappings. II / Russian Acad. Sci. Izv. Math. 44(3):617~627
L. Barreira / 2007 / Nonuniform Hyperbolicity, Encyclopedia of Mathematics and its Applications, 115 / Cambridge University Press
P.-D. Liu / 1998 / Random perturbations of Axiom A basic sets / J. Statist. Phys. 90(1-2):467~490
V. I. Bakhtin / 1995 / Random processes generated by a hyperbolic sequence of mappings. I / Russian Acad. Sci. Izv. Math. 44(2):247~279
V. I. Bakhtin / 1995 / Random processes generated by a hyperbolic sequence of mappings. II / Russian Acad. Sci. Izv. Math. 44(3):617~627
L. Barreira / 2007 / Nonuniform Hyperbolicity, Encyclopedia of Mathematics and its Applications, 115 / Cambridge University Press
P.-D. Liu / 1998 / Random perturbations of Axiom A basic sets / J. Statist. Phys. 90(1-2):467~490
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