Hadamard–Perron theorems and effective hyperbolicity
نویسندگان
چکیده
منابع مشابه
Hadamard–perron Theorems and Effective Hyperbolicity
We prove several new versions of the Hadamard–Perron Theorem, which relates infinitesimal dynamics to local dynamics for a sequence of local diffeomorphisms, and in particular establishes the existence of local stable and unstable manifolds. Our results imply the classical Hadamard–Perron Theorem in both its uniform and non-uniform versions, but also apply much more generally. We introduce a no...
متن کاملStability Theorems and Hyperbolicity in Dynamical Systems
We present an approach to proving structural stability and semi-stability theorems for diffeomorphisms and flows using the idea of shadowing an e-chain. We treat the cases when the whole manifold is hyperbolic and when the chain recurrent set is hyperbolic and the strong transversality condition is satisfied. The last two sections discuss the progress made on the converse to the structural stab...
متن کاملVanishing Theorems, Boundedness and Hyperbolicity over Higher-dimensional Bases
A vanishing theorem is proved for families over higher dimensional bases and applied to generalize some Shafarevich type statements to that setting. Let C be a smooth projective curve of genus g over an algebraically closed field of characteristic 0, ∆ ⊂ C a finite subset and q > 1 a positive integer. Let δ = #∆. Shafarevich conjectured that the set of non-isotrivial families of smooth projecti...
متن کاملSharp Phase Transition Theorems for Hyperbolicity of Random Groups
We prove that in various natural models of a random quotient of a group, depending on a density parameter, for each hyperbolic group there is some critical density under which a random quotient is still hyperbolic with high probability, whereas above this critical value a random quotient is very probably trivial. We give explicit characterizations of these critical densities for the various mod...
متن کاملSemi-hyperbolicity and Hyperbolicity
We prove that for C1-diffeomorfisms semi-hyperbolicity of an invariant set implies its hyperbolicity. Moreover, we provide some exact estimations of hyperbolicity constants by semi-hyperbolicity ones, which can be useful in strict numerical computations.
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: Ergodic Theory and Dynamical Systems
سال: 2014
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2014.49