On the range of pinned random walks

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概要

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• The range of random walks means the number of distinct sites visited at least once by the random walk. In two-or-more-dimensional cases, we established the law of large numbers for the range of simple symmetric random walks under the conditional probability given the event that the last point is the origin. Moreover we studied the large deviations in the upward direction and obtained similar results to the original random walk.

• 東北大学の論文

著者

• Hamana Yuji

  Department Of Mathematics Kumamoto University

• Hamana Yuji

  Department Of Applied Science Faculty Of Engineering Kyushu University

関連論文

• On the expected volume of the Wiener sausage
• On the range of pinned random walks
• The fluctuation results for the single point range of random walks in low dimensions

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