Threshold functions for the bipartite Turán property.
Godbole, Anant P., Lamorte, Ben, Sandquist, Erik Jonathan (1997)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Godbole, Anant P., Lamorte, Ben, Sandquist, Erik Jonathan (1997)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Jonasson, Johan, Schramm, Oded (2000)
Electronic Communications in Probability [electronic only]
Similarity:
Sung, Soo Hak (2008)
Journal of Inequalities and Applications [electronic only]
Similarity:
Cooper, Colin, Frieze, Alan (1995)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Arvind Singh (2007)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
Oliver Johnson, Christina Goldschmidt (2006)
ESAIM: Probability and Statistics
Similarity:
We extend Hoggar's theorem that the sum of two independent discrete-valued log-concave random variables is itself log-concave. We introduce conditions under which the result still holds for dependent variables. We argue that these conditions are natural by giving some applications. Firstly, we use our main theorem to give simple proofs of the log-concavity of the Stirling numbers of the second kind and of the Eulerian numbers. Secondly, we prove results concerning the log-concavity of...