Quasisymmetric rigidity of Sierpiński carpets

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Nonhomogeneous distributions and optimal quantizers for Sierpiński carpets

The purpose of quantization of a probability distribution is to estimate the probability by a discrete probability with finite support. In this paper, a nonhomogeneous probability measure P on R which has support the Sierpiński carpet generated by a set of four contractive similarity mappings with equal similarity ratios has been considered . For this probability measure, the optimal sets of n-...

متن کامل

Quantum carpets, carpets of light

In 1836 Henry Fox Talbot, an inventor of photography, published the results of some experiments in optics that he had previously demonstrated at a British Association meeting in Bristol. "It was very curious to observe that though the grating was greatly out of the focus of the lens...the appearance of the bands was perfectly distinct and well defined...the experiments are communicated in the h...

متن کامل

Quasisymmetric Groups

1.1. The main results. Let T denote the unit circle and D the unit disc. Suppose that f : T → T is a homeomorphism. Let f̂ : D → D be a homeomorphism too. We say that f̂ extends f if f̂ and f agree on T. All mappings in this paper are sense preserving (see the remark at the end of introduction). Definition 1.1. We say that a homeomorphism f : T → T is K-quasisymmetric if there exists a K-quasiconf...

متن کامل

Numerical Carpets

1 June 1, 1998 Introduction It has long been known that modular arithmetic often produces interesting numerical patterns. These patterns can be made easier to comprehend and more interesting by rendering them as images with colors associated with numerical values. The example most often cited is Pascal’s Triangle, which exhibits the binomial coefficients. If you take the coefficients modulo m f...

متن کامل

Quasisymmetric structures on surfaces

We show that a locally Ahlfors 2-regular and locally linearly locally contractible metric surface is locally quasisymmetrically equivalent to the disk. We also discuss an application of this result to the problem of characterizing surfaces embedded in some Euclidean space that are locally bi-Lipschitz equivalent to a ball in the plane. In memoriam: Juha Heinonen (1960 2007)

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

ژورنال

عنوان ژورنال: Ergodic Theory and Dynamical Systems

سال: 2014

ISSN: 0143-3857,1469-4417

DOI: 10.1017/etds.2013.111