کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1156770 958867 2012 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Properties of the limit shape for some last-passage growth models in random environments
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Properties of the limit shape for some last-passage growth models in random environments
چکیده انگلیسی

We study directed last-passage percolation on the planar square lattice whose weights have general distributions, or equivalently, queues in series with general service distributions. Each row of the last-passage model has its own randomly chosen weight distribution. We investigate the limiting time constant close to the boundary of the quadrant. Close to the yy-axis, where the number of random distributions averaged over stays large, the limiting time constant takes the same universal form as in the homogeneous model. But close to the xx-axis we see the effect of the tail of the distribution of the random environment.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 122, Issue 2, February 2012, Pages 498–521
نویسندگان
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