کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5130098 1378658 2017 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A random cell splitting scheme on the sphere
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
A random cell splitting scheme on the sphere
چکیده انگلیسی

A random recursive cell splitting scheme of the 2-dimensional unit sphere is considered, which is the spherical analogue of the STIT tessellation process from Euclidean stochastic geometry. First-order moments are computed for a large array of combinatorial and metric parameters of the induced splitting tessellations by means of martingale methods combined with tools from spherical integral geometry. The findings are compared with those in the Euclidean case, making thereby transparent the influence of the curvature of the underlying space. Moreover, the capacity functional is computed and the point process that arises from the intersection of a splitting tessellation with a fixed great circle is characterized.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 127, Issue 5, May 2017, Pages 1544-1564
نویسندگان
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