کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4648260 1342402 2011 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Brun expansions of stepped surfaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Brun expansions of stepped surfaces
چکیده انگلیسی

Dual maps have been introduced as a generalization to higher dimensions of word substitutions and free group morphisms. In this paper, we study the action of these dual maps on particular discrete planes and surfaces, namely stepped planes and stepped surfaces. We show that dual maps can be seen as discretizations of toral automorphisms. We then provide a connection between stepped planes and the Brun multi-dimensional continued fraction algorithm, based on a desubstitution process defined on local geometric configurations of stepped planes. By extending this connection to stepped surfaces, we obtain an effective characterization of stepped planes (more exactly, stepped quasi-planes) among stepped surfaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 311, Issue 7, 6 April 2011, Pages 521–543
نویسندگان
, ,