کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10527163 958716 2016 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Excited Mob
ترجمه فارسی عنوان
همراه با هیجان انگیز
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
We study one dimensional excited random walks (ERW) on iterated leftover environments. We prove a 0-1 law for directional transience and a law of large numbers for such environments under mild assumptions. We provide exact criteria for transience and positive speed of the walk in terms of the expected drift per site under stronger assumptions. This allows us to construct examples of stationary and ergodic environments on which ERW has positive speed that do not follow by trivial comparison to i.i.d. environments. A central ingredient is the introduction of the “Excited Mob” of k walkers on the same cookie environment.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 126, Issue 2, February 2016, Pages 439-469
نویسندگان
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