کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1155976 958790 2011 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the local time of random walk on the 2-dimensional comb
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
On the local time of random walk on the 2-dimensional comb
چکیده انگلیسی

We study the path behaviour of general random walks, and that of their local times, on the 2-dimensional comb lattice C2C2 that is obtained from Z2Z2 by removing all horizontal edges off the xx-axis. We prove strong approximation results for such random walks and also for their local times. Concentrating mainly on the latter, we establish strong and weak limit theorems, including Strassen-type laws of the iterated logarithm, Hirsch-type laws, and weak convergence results in terms of functional convergence in distribution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 121, Issue 6, June 2011, Pages 1290–1314
نویسندگان
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