Non-uniform hyperbolicity and non-uniform specification
نویسندگان
چکیده
منابع مشابه
Introduction to Non-uniform and Partial Hyperbolicity
These are notes for a minicourse given at Regional Norte UdelaR in Salto, Uruguay for the conference “CIMPA Research School Hamiltonian and Langrangian Dynamics”. They are a preliminary version which have not had enough proof-reading, in particular there can be errors of any type (orthographical, typos, and mainly serious mistakes). Any comment is welcome. The purpose of the notes is to present...
متن کاملNon-stationary Non-uniform Hyperbolicity: Srb Measures for Dissipative Maps
We prove the existence of SRB measures for diffeomorphisms where a positive volume set of initial conditions satisfy an “effective hyperbolicity” condition that guarantees certain recurrence conditions on the iterates of Lebesgue measure. We give examples of systems that do not admit a dominated splitting but can be shown to have SRB measures using our methods.
متن کاملShadowing by Non Uniformly Hyperbolic Periodic Points and Uniform Hyperbolicity
We prove that, under a mild condition on the hyperbolicity of its periodic points, a map g which is topologically conjugated to a hyperbolic map (respectively, an expanding map) is also a hyperbolic map (respectively, an expanding map). In particular, this result gives a partial positive answer for a question done by A. Katok, in a related context.
متن کاملNew Criteria for Ergodicity and Non-uniform Hyperbolicity
In this work we obtain a new criterion to establish ergodicity and non-uniform hyperbolicity of smooth measures of diffeomorphisms. This method allows us to give a more accurate description of certain ergodic components. The use of this criterion in combination with topological devices such as blenders lets us obtain global ergodicity and abundance of non-zero Lyapunov exponents in some context...
متن کاملReducibility or Non-uniform Hyperbolicity for Quasiperiodic Schrödinger Cocycles
We show that for almost every frequency α ∈ R\Q, for every Cω potential v : R/Z→ R, and for almost every energy E the corresponding quasiperiodic Schrödinger cocycle is either reducible or non-uniformly hyperbolic. This result gives a very good control on the absolutely continuous part of the spectrum of the corresponding quasiperiodic Schrödinger operator, and allows us to complete the proof o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2013
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2013-05819-9