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- W1969116103 abstract "We study a fragmentation problem where an initial object of size x is broken into m random pieces provided x>x_0 where x_0 is an atomic cut-off. Subsequently the fragmentation process continues for each of those daughter pieces whose sizes are bigger than x_0. The process stops when all the fragments have sizes smaller than x_0. We show that the fluctuation of the total number of splitting events, characterized by the variance, generically undergoes a nontrivial phase transition as one tunes the branching number m through a critical value m=m_c. For m<m_c, the fluctuations are Gaussian where as for m>m_c they are anomalously large and non-Gaussian. We apply this general result to analyze two different search algorithms in computer science." @default.
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- W1969116103 date "2002-07-30" @default.
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- W1969116103 title "Phase transition in a random fragmentation problem with applications to computer science" @default.
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- W1969116103 doi "https://doi.org/10.1088/0305-4470/35/32/101" @default.
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