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math.PR2023★ 2 cited
Analysis of d-ary Tree Algorithms with Successive Interference Cancellation
Quirin Vogel, Yash Deshpande, Cedomir Stefanović +1
In this article, we calculate the mean throughput, number of collisions, successes, and idle slots for random tree algorithms with successive interference cancellation. Except for…
math.PR2019★ 2 cited
Large deviations of the range of the planar random walk on the scale of the mean
Jingjia Liu, Quirin Vogel
We show an upper large deviation bound on the scale of the mean for a symmetric random walk in the plane with finite sixth moment. This result complements the study of Van den Berg…