Geodesic continued fractions and LLL

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

Geodesic laminations and continued fractions

We introduce the notion of “slope” for geodesic laminations. Slope is a positive irrational defined via regular continued fraction. The action of the mapping class group on lamination pulls back to the action of GL(2, Z) on real line. We discuss applications of slopes in complex analysis, low-dimensional topology, geometric group theory and C∗-algebras.

متن کامل

Cross Sections for Geodesic Flows and Α-continued Fractions

We adjust Arnoux’s coding, in terms of regular continued fractions, of the geodesic flow on the modular surface to give a cross section on which the return map is a double cover of the natural extension for the α-continued fractions, for each α ∈ (0, 1]. The argument applies in wide generality, as we illustrate with its application to the Rosen continued fractions and their recently introduced ...

متن کامل

Periodic Continued Fractions And

We investigate when an algebraic function of the form φ(λ) = −B(λ)+ √ R(λ) A(λ) , where R(λ) is a polynomial of odd degree N = 2g + 1 with coefficients in C, can be written as a periodic α-fraction of the form

متن کامل

Continued Fractions and Gaps

Given a continued fraction, we construct a certain function that is discontinuous at every rational number p/q. We call this discontinuity the “gap”. We then try to characterize the gap sizes, and find, to the first order, the size is 1/q2, and that, for higher orders, the gap appears to be perfectly ’randomly’ distributed, in that it is Cauchy-dense on the unit square, and thus, this function ...

متن کامل

Generalized Continued Logarithms and Related Continued Fractions

We study continued logarithms as introduced by Bill Gosper and studied by J. Borwein et. al.. After providing an overview of the type I and type II generalizations of binary continued logarithms introduced by Borwein et. al., we focus on a new generalization to an arbitrary integer base b. We show that all of our so-called type III continued logarithms converge and all rational numbers have fin...

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: Indagationes Mathematicae

سال: 2014

ISSN: 0019-3577

DOI: 10.1016/j.indag.2014.04.003