کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1157109 958931 2006 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the concentration of Sinai’s walk
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
On the concentration of Sinai’s walk
چکیده انگلیسی

We consider Sinai’s random walk in a random environment. We prove that for an interval of time [1,n][1,n] Sinai’s walk sojourns in a small neighborhood of the point of localization for the quasi-totality of this amount of time. Moreover the local time at the point of localization normalized by nn converges in probability to a well defined random variable of the environment. From these results we get applications to the favorite sites of the walk and to the maximum of the local time.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 116, Issue 10, October 2006, Pages 1377–1408
نویسندگان
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