کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1155596 958749 2013 37 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The tug-of-war without noise and the infinity Laplacian in a wedge
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
The tug-of-war without noise and the infinity Laplacian in a wedge
چکیده انگلیسی
Consider the ending time of the tug-of-war without noise in a wedge. There is a critical angle for finiteness of its expectation when player I maximizes the distance to the boundary and player II minimizes the distance. There is also a critical angle such that for smaller angles, player II can find a strategy where the expected ending time is finite, regardless of player I's strategy. For larger angles, for each strategy of player II, player I can find a strategy making the expected ending time infinite. Using connections with the inhomogeneous infinity Laplacian, we bound this critical angle.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 123, Issue 12, December 2013, Pages 4219-4255
نویسندگان
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