Identitäten bei den Stirling-Zahlen 2.Art aus kombinatorischen Überlegungen beim Würfelspiel.
Improved inclusion-exclusion identities and inequalities based on a particular class of abstract tubes.
Inclusion-exclusion and network reliability.
Inclusion-exclusion redux.
Inequalities and limit theorems for random allocations
Random allocations of balls into boxes are considered. Properties of the number of boxes containing a fixed number of balls are studied. A moment inequality is obtained. A merge theorem with Poissonian accompanying laws is proved. It implies an almost sure limit theorem with a mixture of Poissonian laws as limiting distribution. Almost sure versions of the central limit theorem are obtained when the parameters are in the central domain.
Inequalities of Bonferroni-Galambos type with applications to the Tutte polynomial and the chromatic polynomial.
Inequality of two critical probabilities for percolation.
Infinite paths and cliques in random graphs
We study the thresholds for the emergence of various properties in random subgraphs of (ℕ, <). In particular, we give sharp sufficient conditions for the existence of (finite or infinite) cliques and paths in a random subgraph. No specific assumption on the probability is made. The main tools are a topological version of Ramsey theory, exchangeability theory and elementary ergodic theory.
Information recovery from randomly mixed-up message text.
Intégration d'une suite récurrente qui se présente dans une question de probabilité
Intersections of randomly embedded sparse graphs are Poisson.
Irreducible compositions and the first return to the origin of a random walk.
Isolated trees in a bichromatic random graph
Isolated trees in a random graph