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math.PR2003★ 10 cited
Continuous and discontinuous phase transitions in hypergraph processes
R. W. R. Darling, D. A. Levin, J. R. Norris
Let V denote a set of N vertices. To construct a "hypergraph process", create a new hyperedge at each event time of a Poisson process; the cardinality K of this hyperedge is random…
math.PR2003
On Dynamical Gaussian Random Walks
D. Khoshnevisan, D. A. Levin, P. J. Mendez-Hernandez
Motivated by the recent work of Benjamini, Haggstrom, Peres, and Steif (2003) on dynamical random walks, we: Prove that, after a suitable normalization, the dynamical Gaussian walk…