کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1156572 958844 2014 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Scenery reconstruction on finite abelian groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Scenery reconstruction on finite abelian groups
چکیده انگلیسی

We consider the question of when a random walk on a finite abelian group with a given step distribution can be used to reconstruct a binary labeling of the elements of the group, up to a shift. Matzinger and Lember (2006) give a sufficient condition for reconstructability on cycles. While, as we show, this condition is not in general necessary, our main result is that it is necessary when the length of the cycle is prime and larger than 5, and the step distribution has only rational probabilities. We extend this result to other abelian groups.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 124, Issue 8, August 2014, Pages 2754–2770
نویسندگان
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