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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
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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
Journal: Stochastic Processes and their Applications - Volume 122, Issue 2, February 2012, Pages 498–521
نویسندگان
Hao Lin, Timo Seppäläinen,