A ug 1 99 1 Quasisymmetric Conjugacies Between Unimodal Maps

نویسندگان

  • M. Jakobson
  • G. Swiatek
چکیده

It is shown that some topological equivalency classes of S-unimodal maps are equal to quasisymmetric conjugacy classes. This includes some infinitely renormalizable polynomials of unbounded type.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Explosion of smoothness for conjugacies between multimodal maps

Let f and g be smooth multimodal maps with no periodic attractors and no neutral points. If a topological conjugacy h between f and g is C at a point in the nearby expanding set of f , then h is a smooth diffeomorphism in the basin of attraction of a renormalization interval of f . In particular, if f : I → I and g : J → J are Cr unimodal maps and h is C at a boundary of I then h is Cr in I.

متن کامل

Unimodality of Eulerian quasisymmetric functions

We prove two conjectures of Shareshian and Wachs about Eulerian quasisymmetric functions and polynomials. The first states that the cycle type Eulerian quasisymmetric function Qλ,j is Schur-positive, and moreover that the sequence Qλ,j as j varies is Schur-unimodal. The second conjecture, which we prove using the first, states that the cycle type (q, p)-Eulerian polynomial A λ (q, p, q −1t) is ...

متن کامل

Sets of Non-differentiability for Conjugacies between Expanding Interval Maps

We study di erentiability of topological conjugacies between expanding piecewise C1+ interval maps. If these conjugacies are not C1 , then they have zero derivative almost everywhere. We obtain the result that in this case the Hausdor dimension of the set of points for which the derivative of the conjugacy does not exist lies strictly between zero and one. Using multifractal analysis and thermo...

متن کامل

The geometry of some natural conjugacies in ℂn dynamics

We show that under some simple conditions a topological conjugacy h between two holomorphic self-maps f1 and f2 of complexn-dimensional projective space Pn lifts canonically to a topological conjugacy H between the two corresponding polynomial self-maps of Cn+1, and this conjugacy relates the two Green functions of f1 and f2. These conjugacies are interesting because their geometry is not inher...

متن کامل

Indestructible dynamics of torus maps

Given a d-dimensional torus map F (z) = Mz + G(z) mod 1, where M is an integer-matrix and and G is a periodic function, we find conditions on M under which F is semi-conjugate to a linear torus map, independently of G. We also find a conditions G under which these semi-conjugacies can be turned into conjugacies. These conditions are satisfied by open sets of torus maps (in the C1-topology) and ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1991